Module Manual Advanced Quantum Physics Master's Program

Transcription

1 Module Manual Advanced Quantum Physics Master's Program Contents: Curriculum 2 Modules QT Quantum Technologies 4 MB Many-Body Quantum Systems 8 SE Science Electives 12 GE General Electives 14 LC Laboratory Course 15 RM Research Module 17 Master's Thesis MT Master's Thesis 18

2 Curriculum Semester Quantum Technologies Many-Body Quantum Systems 1 Courses in Quantum Technologies Courses in Many-Body Quantum Systems Science Electives General Electives Total Credits CP Non-physics course(s) from any natural sciences curriculum Course(s) from any university department V: 4 SWS CP: 8 V: 6 SWS CP: 12 CP: 4 CP: Courses in Quantum Technologies Courses in many-body Quantum Systems Non-physics course(s) from any natural sciences curriculum Course(s) from any university department V: 4 SWS CP: 8 V: 4 SWS CP: 8 CP: 4 CP: 3 30 Module Examination in Quantum Technologies Laboratory Course in Advanced Quantum Technologies Module Examination in Many-Body Quantum Systems 3 4 P: 6 SWS CP: 7 Research Module Introduction to Working Science 26 Quantum Seminar S: 2 SWS CP: 3 Specialized Scientific Seminar S: 2 SWS CP: 3 Colloquium / Theory Colloquium 0.2 CP / Event CP: 1 (max) 4 3 Master's Thesis and Presentation 30 SWS: weekly attendance time unit of 45 min = 0.75 h. (Semesterwochenstunde) CP: credit (Leistungspunkt) V: lecture (Vorlesung) P: laboratory training (Praktikum) S: seminar (Seminar) 2

3 QT Quantum Technologies 23 credits MB Many-Body Quantum Systems 20 credits SE Science Electives (non-physics courses) 8 credits GE General Electives (any university courses) 6 credits RM Research Module 33 credits MT Master's Thesis 30 credits Total 120 credits 3

4 QT Quantum Technologies Workload Credits Semesters Regular Cycle Duration 480 h 16 CP 1 and 2 courses are offered once in each year 2 Semesters 1 Module Components/Courses SWS / Attendance Time Independent Study CP Quantum Optics I* 2 SWS / 28 h 92 h 4 CP Quantum Optics II* 2 SWS / 28 h 92 h 4 CP Quantum Gases I 2 SWS / 28 h 92 h 4 CP Quantum Gases II 2 SWS / 28 h 92 h 4 CP Advanced Photonics I 2 SWS / 28 h 92 h 4 CP Advanced Photonics II 2 SWS / 28 h 92 h 4 CP Quantum Technology* 2 SWS / 28 h 92 h 4 CP Quantum Information Technology 2 SWS / 28 h 92 h 4 CP Topological Systems 2 SWS / 28 h 92 h 4 CP Semiconductor Quantum Structures 2 SWS / 28 h 92 h 4 CP Theoretical Semiconductor Optics 2 SWS / 28 h 92 h 4 CP Coherent Optics 2 SWS / 28 h 92 h 4 CP X-Ray Quantum Optics 2 SWS / 28 h 92 h 4 CP Magnonics (online course with attendance phase) 2 SWS / 28 h 92 h 4 CP Intensive Week (one full week of combined lectures and/or seminars and laboratory courses on a specific topic of quantum optics and optical technologies) total 120 h 4 CP *At least 8 CP must be completed in the courses Quantum Optics and/or Quantum Technology. 2 Competences and Intended Learning Outcomes Successful completion of this module will develop the following skills, knowledge and expertise: The student will know and understand the fundamental concepts, methods and approaches of quantum optics and optical technologies. The student will have acquired a structured and specific knowledge of those subjects in quantum optics and optical technologies which are treated by the particular courses that the student has taken. The student will understand the close interaction between theoretical predictions and experiments in (quantum) optics, and the importance of this close interaction for developing technological applications. The student will be able to understand and interpret discrepancies between theoretical predictions and experimental results. The student will have an overview of current fundamental problems in quantum optics, quantum technologies and optical technologies. 4

5 The student will be aware of how quantum optics theory and optical technologies were developed historically. The student will appreciate how the discoveries in quantum optics and the inventions of optical technologies have contributed to the development of the fundamental concepts of modern physics in general. The student will be able to apply fundamental scientific methods, such as induction, model construction, and experimental testing, to solve scientific problems and develop new scientific insights, especially in the contexts of quantum optics and optical technologies. The student will also be able to apply the essential working strategies and paradigms that are specific to quantum optics and optical technologies, in order to recognize and solve common (quantum) optical problems. The student will conversely understand how the specific concepts and strategies of quantum optics relate to the basic principles of physics in general. 3 Overviews of Course Topics: Quantum Optics I & II: fundamentals of semi-classical atom-light interaction; laser radiation and fundamentals of photonics; coherent phenomena in multi-level atoms; quantized light fields; quantum states of light, their properties and their theoretical description; quantized atom-light interaction: Jaynes-Cummings model and dressed states; coherence and correlations; quantum correlations and entanglement; Bell inequalities and their violation; (quantum) theory of the laser; quantum effects in nonlinear optics. Quantum Gases I & II: fundamentals of quantum gases; laser cooling and cooling limits; magnetic and optical traps; ultracold interactions and evaporative cooling; detection of ultracold samples; Bose-Einstein condensation (BEC): experimental route to BEC, theoretical descriptions and approximations, Bogoliubov excitations; degenerate Fermi gases (DFG): experimental route to DFG, Feshbach resonances, BEC-BCS crossover, ultracold molecules; optical lattices and many-body lattice models; quantum gases in lower dimensions; quasi-spin systems; applications in optical clocks and atom interferometers. Advanced Photonics I & II: fundamentals of light-matter interaction; non-linear optics; dispersion relations; photonic bandstructures; band structure calculations (plane-wave method, finite-difference-time-domain); scattering matrix calculations; Monte-Carlo-Simulation; photonic crystals, quasicrystals and disordered media; plasmonics: surface- and particle-plasmon-polaritons; plasmonic antennas; photonic metamaterials: negative refractive index; metasurfaces; all-dielectric metamaterials; transformation optics. Quantum Technology: introduction to quantum properties: matter waves, quantum statistics and entanglement; matter wave applications and sub-wavelength microscopy; applications in time-keeping: optical clocks and squeezed states; superconductivity and superfluidity, and their applications. Quantum Information Technology: quantum computation and simple algorithms; quantum cryptography and quantum communication; quantum error correction; experimental implementations of quantum computation; quantum repeaters; quantum algorithms: Grover s algorithm, Shor s algorithm. Topological Systems: integer quantum Hall effect and lattice realizations; topological invariants and general classification of topological phases in non-interacting fermion systems (Berry phase and Chern number, "ten-fold way"); quantum spin-hall effect and topological insulators, graphene and Haldane model; symmetry-protected topological systems in 1D; phenomenology of the fractional quantum Hall effect and introduction to composite fermion theory. Semiconductor Quantum Structures: nanostructures; future of electronic chips; fundamentals of micromechanics and microfluidics; scaling laws; heterostructures and p-n junctions; quantum mechanical confinement: quantum wells, wires, and dots; quantum cascade lasers; Fermi's Golden Rule; self-organized nanostructures; nanoscopic measuring techniques. 5

6 Theoretical Semiconductor Optics: optical fields in semiconductors; semiconductor Bloch equations; excitons; optical nonlinearities in semiconductors; semiconductor laser physics. Coherent Optics: principles of lasers; laser resonators; laser modes; interference and coherence; short and ultrashort optical pulses; overview of nonlinear optics; wave optics; Fourier optics and diffraction; speckles; holography and holographic interferometry; coherent Fourier-optical spatial frequency filtering; broad-area semiconductor lasers; optical waveguides. X-Ray Quantum Optics: X-ray light sources, particles accelerators, insertion devices; 3rd generation synchrotrons and X-ray free electron lasers (XFEL) including novel concepts like XFEL-oscillators (XFELO); precision X-ray optics; coherent and incoherent effects in nuclear resonance scattering; single-photon superradiance, collective Lamb shift, coherent control, electromagnetically induced transparency (EIT), resonance fluorescence; coherent control of γ-ray photons with incoherent γ-sources Magnonics (online course with attendance phase): fundamentals of spin waves in confined structures; basic elements of magnonics; parametric and nonlinear phenomena; advanced properties and applications. Intensive Week: combined lecture/seminar and laboratory work on selected topics in quantum optics and quantum technology. 4 Forms of Instruction: lectures; guided problem solving; laboratory work 5 Prerequisites for Attending Courses: no formal or contentual prerequisites 6 Examination Format: oral examination 7 Eligibility Condition for Examination: regular and active participation in course 8 Requirements for Receiving Course Credits (CP): successful completion of module examination 9 Weight of Module Grade in Final Grade: 4/18 10 Module Coordinator: Prof. Dr. Artur Widera 11 Teaching Staff: members of the faculty of physics 12 Further Information Credits from this module may also be valid in the "Physik" or "TechnoPhysik" Master's programs. Recommended Literature Quantum Optics I & II: Ch. Gerry, P. Knight. "Introductory Quantum Optics", Cambridge University Press M.Scully, M.Zubairy. "Quantum Optics", Cambridge University Press R. Loudon. "The Quantum Theory of Light", Oxford University Press C. Cohen-Tannoudji, J. Dupont-Roc, G. Grynberg. "Atom Photon Interactions". Wiley G. Grynberg, A. Aspect, C. Fabre, C. Cohen-Tannoudji. "Introduction to Quantum Optics: From the semiclassical approach to Quantized Light ". Cambridge University Press Quantum Gases I & II: H. Metcalf, P. van der Straten. "Laser Cooling and Trapping", Springer C. Pethick, H. Smith. "Bose-Einstein Condensation in Dilute Gases", Cambridge University Press C. Salomon, G. Shlyapnikov, L. Cugliandolo. "Many-Body Physics with Ultracold Gases", Les Houches Lecutre Notes 2010, Oxford University Press 6

7 W. Zwerger. "The BEC-BCS Crossover and the Unitary Fermi Gas", Springer Lecture Notes 836, Springer Advanced Photonics I & II: B. Saleh, M. Teich. Fundamentals of Photonics, Wiley&Sons S. Maier, Plasmonics: Fundamentals and Applications, Springer Quantum Technology: C. Pethick, H. Smith. "Bose-Einstein Condensation in Dilute Gases", Cambridge University Press W. Buckel, R. Kleiner. Superconductivity: Fundamentals and Applications, Wiley-VCH Ch. Gerry, P. Knight. "Introductory Quantum Optics", Cambridge University Press Quantum Information Technology: As announced in lecture Topological Systems: As announced in lecture Semiconductor Quantum Structures: As announced in lecture Theoretical Semiconductor Optics: H. Haug, S. Koch, Quantum Theory of the Electronic and Optical Properties of Semiconductors, World Scientific W. Schäfer, M. Wegener, Semiconductor Optics and Transport Phenomena, Springer Coherent Optics: E. Hecht. Optics, Pearson D. Meschede. Optics, light and lasers, Wiley-VCH X-Ray Quantum Optics: R. Röhlsberger, Nuclear Condensed Matter Physics with Synchrotron Radiation, Springer Magnonics: As announced in lecture Intensive Week: As announced on the first day of the Week 7

8 MB Many-Body Quantum Systems Workload Credits Semesters Regular Cycle Duration 600 h 20 CP 1 and 2 courses are offered once in each year 2 Semesters 1 Module Components/Courses SWS / Attendance Time Independent Study CP Advanced Quantum Mechanics I * 2 SWS / 28 h 92 h 4 CP Advanced Quantum Mechanics II * 2 SWS / 28 h 92 h 4 CP Many-Body Quantum Theory I * 2 SWS / 28 h 92 h 4 CP Many-Body Quantum Theory II * 2 SWS / 28 h 92 h 4 CP Quantum Gases I 2 SWS / 28 h 92 h 4 CP Quantum Gases II 2 SWS / 28 h 92 h 4 CP Quantum Information 2 SWS / 28 h 92 h 4 CP Quantum Information Technology 2 SWS / 28 h 92 h 4 CP Quantum Field Theory I 2 SWS / 28 h 92 h 4 CP Quantum Field Theory II 2 SWS / 28 h 92 h 4 CP Solid State Theory I 2 SWS / 28 h 92 h 4 CP Solid State Theory II 2 SWS / 28 h 92 h 4 CP Quantum Technology 2 SWS / 28 h 92 h 4 CP Ab-Initio Methods of Condensed Matter Theory I 2 SWS / 28 h 92 h 4 CP Ab-Initio Methods of Condensed Matter Theory II 2 SWS / 28 h 92 h 4 CP Non-Equilibrium Statistical Mechanics 2 SWS / 28 h 92 h 4 CP * At least 8 CP must be completed in the courses Advanced Quantum Mechanics and/or Many-Body Quantum Theory. 2 Competences and Intended Learning Outcomes Successful completion of this module will develop the following skills, knowledge and expertise: The student will know and understand the fundamental concepts, methods and approaches of many-body quantum systems. The student will have acquired a structured specific knowledge on those sub-fields and topics of many-body quantum systems which are treated by the particular courses that the student has taken. The student will understand essential aspects of interactions among large numbers of quantum particles, and their implications for technological applications. The student will acquire an overview of current fundamental problems in many-body quantum systems. The student will be able to understand and interpret discrepancies between theoretical predictions and experimental results. 8

9 The student will be aware of how modern quantum many-body theory and experimental techniques were developed historically. The student will appreciate how progress on the quantum many-body problem has contributed to the development of the fundamental concepts of modern physics in general. The student will be able to apply fundamental scientific methods, such as induction, model construction, and experimental testing, to solve scientific problems and develop new scientific insights, especially in the contexts of many-body quantum systems. The student will also be able to apply the essential working strategies and paradigms that are specific to manybody quantum systems, in order to recognize and solve typical problems involving quantum systems of many interacting particles. The student will conversely understand how the specific concepts and quantum many-body physics relate to the basic principles of physics in general. 3 Overviews of Course Topics Advanced Quantum Mechanics I & II: discrete groups, including application to eigenvalue spectra; continuous (Lie) groups, including application to electron spin and other elementary particle properties; quantum mechanics of open systems; scattering theory; relativistic quantum mechanics: Klein-Gordon and Dirac equations, nonrelativistic limit; many-body theory of quantum liquids; finite temperatures; elementary quantum field theory: quantization of the electromagnetic field. Many-body Quantum Theory I & II: introduction to many-body models (fermionic and bosonic systems, spin models); approximation methods (Hartree-Fock, Bogoliubov transformations); equation-of motion-methods; polarons; Green-functions-based methods; Feynman diagrams, including applications to excitations in manyfermion systems; introduction to non-equilibrium techniques. Quantum Gases I & II: fundamentals of quantum gases; laser cooling and cooling limits; magnetic and optical traps; ultracold interactions and evaporative cooling; detection of ultracold samples; Bose-Einstein condensation (BEC): experimental route to BEC, theoretical descriptions and approximations, Bogoliubov excitations; degenerate Fermi gases (DFG): experimental route to DFG, Feshbach resonances, BEC-BCS crossover, ultracold molecules; optical lattices and many-body lattice models; quantum gases in lower dimensions; quasi-spin systems; applications in optical clocks and atom interferometers. Quantum Information: quantum states; entanglement and its measures; teleportation; qubits and divincenzo criteria; single qubit gates and realizations; quantum correlations and two-qubit gates. Quantum Information Technology: quantum computation and simple algorithms; quantum cryptography and quantum communication; quantum error correction; experimental implementations of quantum computation; quantum repeaters; quantum algorithms: Grover s algorithm, Shor s algorithm. Quantum Field Theory I & II: classical field theory; canonical field quantization; Noether theorem; Schrödinger field, Klein-Gordon field, Maxwell field, Dirac field; quantum electrodynamics; perturbation theory; Wick theorem, Feynman diagrams; scattering processes; renormalization; quantization of gauge fields; introduction to the standard model. Solid State Theory I & II: Drude model; failures of the free electron model; crystal lattices; band structure theory; phonons; Matsubara formalism; exactly solvable models; strong electronic correlations and magnetism; superconductivity. Quantum Technology: introduction to quantum properties: matter waves, quantum statistics and entanglement; matter wave applications and sub-wavelength microscopy; applications in time-keeping: optical clocks and squeezed states; superconductivity and superfluidity and applications; quantum information processing and applications. 9

10 Ab-Initio Methods of Condensed Matter Theory I & II: theorems of density functional theory (DFT); LAPW (linearized augmented plane wave) method; Brillouin zone integration; spin-orbit coupling; DFT for structure optimization; DFT for magneto-optics; quantum chemistry with Gaussian orbitals; relativistic effective core potentials; multi-component relativistic methods; spin dynamics in extended systems; multicenter localized systems. Non-Equilibrium Statistical Mechanics: open systems and quantum master equations; kinetic theory, Boltzmann equation; general linear response theory; correlation functions and memory kernels. 4 Forms of Instruction: lectures; guided problem solving; laboratory work 5 Prerequisites for Attending Lectures: no formal or contentual requirements 6 Examination Format: oral examination 7 Eligibility Condition for Examination: regular and active participation in course 8 Requirements for Receiving Course Credits (CP): successful completion of module examination 9 Weight of Module Grade in Final Grade: 4/18 10 Module Coordinator: Prof. Dr. Michael Fleischhauer 11 Teaching Staff: members of the faculty of physics 12 Further Information Credits from this module may also be valid in the "Physik" or "TechnoPhysik" Master's programs. Recommended Literature Advanced Quantum Mechanics I & II: J.Sakurai. Advanced Quantum Mechanics, Addison-Wesley. F. Dyson. Advanced Quantum Mechanics, World Scientific Publishing Many-body Quantum Theory I & II: U. Roessler, Solid-State Theory, Springer E. Lipparini, Modern Many-Particle Physics, World Scientific S. Doniach, E. Sondheimer, Green s Functions in Solid State Physics, Imperial College Press H. Haug, A. Jauho, Quantum Kinetics in Transport and Optics of Semiconductors, Springer Xiao-Gang Wen, "Quantum Field Theory and Many-Body Systems", Quantum Gases I & II: H. Metcalf, P. van der Straten. "Laser Cooling and Trapping", Springer C. Pethick, H. Smith. "Bose-Einstein Condensation in Dilute Gases", Cambridge University Press C. Salomon, G. Shlyapnikov, L. Cugliandolo. "Many-Body Physics with Ultracold Gases", Les Houches Lecture Notes 2010, Oxford University Press W. Zwerger. "The BEC-BCS Crossover and the Unitary Fermi Gas", Springer Lecture Notes 836, Springer Quantum Information: As announced in lecture 10

11 Quantum Information Technology: As announced in lecture Quantum Field Theory I & II: M. Peskin, D. Schroeder. An Introduction to Quantum Field Theory, Westview Press F. Dyson. Advanced Quantum Mechanics, World Scientific Publishing. Franz Gross. "Relativistic Quantum Mechanics and Field Theory", Wiley F. Mandl, G. Shaw. "Quantum Field Theory", Wiley Solid State Theory I&II: N. Ashcroft, N. Mermin, Solid state physics, Cengage Learning G. Mahan, Many-Particle Physics, Springer Quantum Technology: C. Pethick, H. Smith. "Bose-Einstein Condensation in Dilute Gases", Cambridge University Press W. Buckel, R. Kleiner. Superconductivity: Fundamentals and Applications, Wiley-VCH Ch. Gerry, P. Knight. "Introductory Quantum Optics", Cambridge University Press Ab-Initio Methods of Condensed Matter Theory I & II: As announced in lecture Non-Equilibrium Statistical Mechanics: M. Schlosshauer. Decoherence and the Quantum-to-Classical Transition, Springer H. Breuer, F. Petruccione. The theory of open quantum systems, Oxford University Press G. Röpke, Nonequilibrium Statistical Physics, Wiley H. Bikkin, I. Lyapilin, Non-equilibrium Thermodynamics and Physical Kinetics, de Gruyter 11

12 SE Science Electives Workload Credits Semester Regular Cycle Duration 240 h 8 CP 1 and 2 Winter semester 2 Semester Summer semester 1 Module Components/Courses SWS / Attendance Time Independent Study CP Elective courses as selected by the student total 240 h 8 CP 2 Competences and Intended Learning Outcomes The students deepen and broaden their knowledge in diverse fields of science, and develop general skills that are required for interdisciplinary and professional work. 3 Overviews of Course Topics Overviews of elective course contents are available from the departments offering the elective courses. The list below shows examples of possible elective course but is not comprehensive. An updated list will be published in the student guide. Courses may also be found by searching on the KIS webpage: ( Mathematics: Foundations of Financial Mathematics 2 SWS / 30 h 60 h 3 CP Categories 2 SWS / 30 h 60 h 3 CP Elliptic Functions and Elliptic Curves 2 SWS / 30 h 60 h 3 CP Elliptic Curves in Positive Characteristics 2 SWS / 30 h 60 h 3 CP Multilinear Algebra 2 SWS / 30 h 60 h 3 CP Riemann Surfaces 2 SWS / 30 h 60 h 3 CP Electrical engineering: Verification of Digital Systems (VDS) 4 SWS / 60 h 90 h 5 CP Synthesis and Optimization of Microelectronic Systems I Synthesis and Optimization of Microelectronic Systems II 3 SWS / 45 h 75 h 4 CP 2 SWS / 30 h 60 h 3 CP Power Generation I: Thermische Kraftwerke 3 SWS / 45 h 75 h 4 CP Power Generation II: Erneuerbare Energien und Speicherung 2 SWS / 30 h 60 h 3 CP Robust Control 2 SWS / 30 h 60 h 3 CP Informatics: Computer Animation 3 SWS / 45 h 75 h 4 CP Computational Geometry 3 SWS / 45 h 75 h 4 CP 12

13 Geometric Modelling 4 SWS / 60 h 90 h 5 CP Algorithmic Geometry 3 SWS / 45 h 75 h 4 CP Introduction to Information Visualization and Visual Analytics 3 SWS / 45 h 75 h 4 CP High Performance Computing 4 SWS / 60 h 75 h 5 CP 4 Forms of Instruction: diverse 5 Prerequisites for Attending Courses: no formal prerequisites; no prerequisites of prior knowledge 6 Examination Format: depending on the chosen courses 7 Eligibility Condition for Examination: depending on the chosen courses 8 Requirements for Receiving Course Credits (CP): successful completion of module examination 9 Weight of Module grade in final Grade: 1/18 10 Module Coordinator: Prof. Herwig Ott 11 Teaching Staff: members of the university faculty 12 Further Information Credits for elective courses may also be valid in other university degree programs. Recommended Literature As recommended by course instructors. 13

14 GE General Electives Workload Credits Semesters Regular Cycle Duration 180 h 6 CP 1 and 2 Winter semester 2 Semesters Summer semester 1 Module Components/Courses SWS / Attendance Time Independent Study CP Diverse elective courses total 180 h 6 CP 2 Competences and Intended Learning Outcomes Students deepen and broaden their knowledge in diverse subjects, and acquire interdisciplinary skills and competences that are required for professional work. 3 Overviews of Course Topics Overviews of elective course contents are available from the departments offering the elective courses. Courses may also be found by searching on the KIS webpage: ( 4 Forms of Instruction: diverse 5 Prerequisites for attending Courses: no formal prerequisites; no prerequisites of prior knowledge 6 Examination Format: depending on the chosen courses 7 Eligibility Condition for Examination: depending on the chosen courses 8 Requirements for Receiving Course Credits (CP): successful completion of module examination 9 Weight of Module Grade in Final Grade: 0 10 Module Coordinator: Prof. Dr. Artur Widera 11 Teaching Staff: members of the university faculty 12 Further Information Credits for elective courses may also be valid in other university degree programs. Recommended Literature As recommended by course instructors. 14

15 LC Laboratory Course Workload Credits Semester Regular cycle Duration 210 h 7 CP 2 Winter semester 1 Semester Summer semester 1 Module Components/Courses SWS / Attendance Time Independent Study CP Advanced Laboratory course with seminar 6 SWS / 90 h 120 h 7 2 Competences and Intended Learning Outcomes Successful completion of this module will develop the following skills, knowledge and expertise: Students will have learned to acquaint themselves rapidly with special subjects and techniques. Students will have learned to work in a scientific team. Students will have learned to set up and operate complex modern measurement apparatus. Students will have learned to plan and perform experiments. Students will have learned to analyze and critically evaluate experimental results. Students will have learned to present scientific results graphically, orally, and in written reports, according to good scientific practice. 3 Overview of Course Topics Complex experiments are performed and analyzed, dealing with fundamental phenomena and techniques of modern physics, particularly in the field of quantum optics. A total of two experiments are to be performed successfully. The current list of experiments may be found at 4 Form of Instruction: laboratory work, typically in groups of two students. 5 Prerequisites for Attending Courses: no formal prerequisites; effective research experience is not possible, however, without prior knowledge of the subjects covered in the courses on Quantum Technologies and Many- Body Quantum Systems. 6 Examination Format: none, successful participation 7 Eligibility Condition for Examination: none 8 Requirements for receiving Course Credits (CP): successful participation of all experiments within attestation. In an accompanying seminar a talk about the first experiment has to be given. 9 Weight of Module grade in final Grade: 0 10 Module Coordinator: Dr. Christoph Döring 11 Teaching Staff: members of the faculty of physics 12 Further Information: The Laboratory Course is offered twice in each year: from February to April, and from August to October. Both versions of the course are identical, and students are free to choose which one to attend. 15

16 Credit for the Laboratory Course in Advanced Quantum Physics is not normally valid in any other Master's program. Recommended Literature As provided in the description of each experiment. 16

17 RM Research Module Workload Credits Semesters Regular Cycle Duration 990 h 33 CP 3 and 4 Winter semester 2 Semesters Summer semester 1 Module Components/Courses SWS / Attendance Time Independent Study CP Introduction to Scientific Practice total 780 h 26 CP Quantum Seminar 2 SWS / 30 h 60 h 3 CP Specialized Scientific Seminar 2 SWS / 30 h 60 h 3 CP (Theory) Colloquium 5 Events 1 CP (0.2 CP/event) 2 Competences and Intended Learning Outcomes The students acquire in-depth knowledge of the experimental or theoretical methods for selected research topics within the field of quantum physics. By working under close supervision of faculty members, they learn to plan and perform scientific experiments while understanding the theoretical basis of the experiments, or to pursue theoretical research while understanding the experimental realization of the theoretical ideas. They learn to present, interpret and discuss their results, both orally and in writing. 3 Overviews of Course Topics Each of the department's research groups provides overviews of its research projects. 4 Forms of Instruction: diverse 5 Prerequisites for Attending Courses: no formal prerequisites; effective research experience is not possible, however, without prior knowledge of the subjects covered in the courses on Quantum Technologies and Technology and Many-Body Quantum Systems, and in the Laboratory Course. 6 Examination Format: none 7 Eligibility Condition for Examination: none 8 Requirements for Receiving Course Credits (CP): regular and successful participation 9 Weight of Module Grade in Final Grade: 0 10 Module Coordinator: Prof. Dr. Herwig Ott 11 Teaching Staff: members of the faculty of physics 17

18 MT Master's Thesis Workload Credits Semester Regular cycle Duration 900 h 30 CP 4 Winter semester 1 Semester Summer semester 1 Module Components/Courses SWS / Attendance time private study CP Master's Thesis with Oral Presentation 900 h 30 CP 2 Competences and Intended Learning Outcomes Writing and presenting a Master's Thesis develops the ability to plan and carry out a theoretical or experimental research project in a specialized field of physics, and to explain it clearly to others. During this final phase of the Master's Program, students will attain a professional level of scientific expertise on their specific topic, as well as mastering the essential professional skills of interdisciplinary teamwork and proper scientific conduct. 3 Overviews of Course Topics The subject of the Master's Thesis will be the student's own research project, completed under the supervision of a faculty member while working within one of the department's research groups. The research project and its presentation will involve learning about the research topic; planning the work; executing the plan; documenting all results according to the formal criteria of an audit committee; explaining the project and its results in the written Thesis; and finally presenting the results in a half-hour talk followed by a fifteen-minute discussion. 4 Forms of Instruction: independent project work under faculty supervision 5 Prerequisites for Attending Course: successful completion of all previous Modules (Quantum Technologies and Technology, Many-Body Quantum Systems, Laboratory Course, Science Electives, and General Electives) is required both formally and as necessary prior knowledge. 6 Examination Format: written Master's Thesis 7 Eligibility Condition for Examination: none 8 Requirements for Receiving Course Credits (CP): successful completion of module examination 9 Weight of Module Grade in Final Grade: 1/2 10 Module Coordinator: Prof. Dr. Artur Widera 11 Teaching Staff: members of the faculty of physics 18