MCTDH Approach to Strong Field Dynamics

Transcription

1 MCTDH ppoach o Song Feld Dynamcs Suen Sukasyan Thomas Babec and Msha Ivanov Unvesy o Oawa Canada Impeal College ondon UK KITP Sana Babaa. May 8 009

2 Movaon Song eld dynamcs Role o elecon coelaon Tunnel onzaon HHG - Thee-Sep model Sngle acve elecon appomaon S HHG Recombnaon Wha s he ole o hghe eced saes o he on n song eld dynamcs?

3 Ovevew Mul-Conguaon Tme-Dependen Haee MCTDH pplcaon o he song eld dynamcs. Numecal eac soluon o TDS o daomc sysem wh elecons n D each. Song eld dynamcs Role o elecon coelaon. Ogn o mul-elecon ecaons. Hgh hamonc geneaon HHG Ionc gensae Resolved Hamonc Geneaon. Role o mul-elecon coelaon n hamonc emsson.

4 Mulconguaon Tme-dependen Haee MCTDH MCTDH Wave Funcon nsaz q q q q J n n J J Φ - panson Coecens - Bass Funcons q 0 H l l δ l & Dac-Fenkel Vaaonal Pncple Consans o dene coecens and uncons unquely Reeence: M.H.Beck.JāckleG..Woh and H.-D.Meye Phys.Rep MCTDH TD Bass Funcons opmally epesen he WF!

5 J J J H Φ Φ & H P φ ρ & Φ J n P ρ l l l l H H whee l l Poeco - Densy ma - Mean-Feld ma MCTDH quaons o Moon - Sngle-Hole Funcons Complee bass se J J H φ & & 0 MCTDH WF monooncally conveges owad he numecal eac soluon! N n Sandad appoach Reeence: M.H.Beck.JāckleG..Woh and H.-D.Meye Phys.Rep

6 Hamlonan epesenaon n MCTDH MCTDH Wave Funcon nsaz q q q q n n Reeence: M.H.Beck.JāckleG..Woh and H.-D.Meye Phys.Rep J J J H Φ Φ & H P φ ρ & The mul-dmensonal negaons n can be ecenly calculaed J l H H Φ Φ The Hamlonan s epesened s c h H l s J h h c H Φ Φ Ma elemens - MCTDH quaons o Moon Convegence n MCTDH Densy opeao ˆ ρ ρ Q Q Q Q l n l l e-08 e-07 e-06 e me[s] Naual populaons o mode z

7 MCTDH pplcaons Phoodssocaon Phooabsopon Molecule-suace scaeng Reacve scaeng lecon-scaeng pocesses Densy opeao popagaon MCTDHF pplcaons o mul-elecon song eld dynamcs s s n n n n n n K K K MCTDH vs MCTDHF ew-elecon sysems MCTDHF - ; y ; z ; ; y ; z - nn-/ conguaons MCTDH - ; ; y ; y ; z ; z - n 3 conguaons - ; y ; ; y ; z ; z - n 3 conguaons - ; y ; ; y ; z ; z - n 4 conguaons q q q q n n

8 Model sysem : H wh D elecons N MCTDH Wave Funcon Spn s ncluded n calculaon! Inal sae: s symmec g y y 0 ˆ ˆ ˆ ˆ Η Η S S Model daomc sysem n song lase elds ev 6 ev g

9 Model sysem : H wh D elecons N MCTDH Wave Funcon y y Model daomc sysem n song lase elds ev 6 ev g Numecal scalng: NlogN + N y y u v a y y V s ee + + d v d v v l l l l l l lecon-elecon poenal epanson Ma elemens usng he Convoluon Theoem FFT

10 Model daomc sysem n song lase elds Model sysem : H wh D elecons N MCTDH Wave Funcon y y Compuaonal mes Feld : Sn π / T Cos ω T π N ω 0 HHG : I.0 4 W/cm λ800 nm N0 n 5 -- ~ 4 h NSDI : I.0 4 W/cm λ800 nm N n 9 -- ~ 0 h sngle coe CPU 0.6 ev 6 ev g +

11 Ionzaon Ionc bound sae dynamcs I.0 4 W/cm Gound Ionzaon WF -s eced I Ionc WF φ I m m m Ionc populaon p φ φ ~ 6% o gound sae populaon

12 Ionzaon Ionc bound sae dynamcs Ogn o Ionc ecaons. lecc Feld. lecon escaeng + 3. Tunnelng va eced saes o he neual

13 Ionzaon Ionc bound sae dynamcs Ogn o Ionc ecaons. lecc Feld + Populaon o -s onc eced sae p φ

14 Ionzaon Ionc bound sae dynamcs 3. Tunnelng va eced saes o he neual p m m

15 Ionzaon Ionc bound sae dynamcs 3. Tunnelng va eced saes o he neual Gound -s eced Is possble o ealsc 3D mul-elecon sysems!

16 Ionzaon Ionc bound sae dynamcs. lecon escaeng ma 3.U p 8eV 0.6 ev + + ε y

17 Ionzaon Ionc bound sae dynamcs. lecon escaeng ma 3.U p 8eV 0.6 ev ε ε y

18 Ionzaon Ionc bound sae dynamcs. lecon escaeng ma 3.U p 8eV 0.6 ev ε 0. ; ε y

19 Ionzaon Ionc bound sae dynamcs. lecon escaeng ma 3.U p 8eV 0.6 ev ε 0. ; 0.4 ; ε y

20 Ionzaon Ionc bound sae dynamcs. lecon escaeng ma 3.U p 8eV Conclusons 0.6 ev lecon escaeng s he man mechansm o he onc ecaon o he model daom! + + ε y Fo hghe lase nenses he eec may be enhanced! The eec wll be moe ponounced o ealsc 3D mul-elecon sysems! S s no vald o pecse descpon o song eld mul-elecon dynamcs!

21 Ionzaon Role o elecon escaeng Dependence o escaeng on. ase pulse duaon 0.6 ev Gound + ma 3.U p 8eV -s eced ~ 8% o gound sae populaon

22 Ionzaon Role o elecon escaeng Dependence o escaeng on 0.6 ev. Molecula oenaon 6 ev + ma 3.U p 8eV Gound -nd eced -s eced ~ 3% o gound sae populaon caon va escaeng depends on onc obal symmey!

23 Hgh hamonc geneaon HHG Role o Ionc ecaons I.0 4 W/cm λ800 nm N0 Ionc gensae Resolved HHG φ [ ] + M M IR φ φ IR â Ω Ω d e M g I M α g HHG specum â V HHG â ψ â D g g g φ α φ α Dec change â g g φ α Ionc gensaes

24 Two-cene Ineeence n HHG R R Cos θ λ k I G kn+ - Desucve neeence kn - Consucve neeence kn+ - Consucve neeence kn - Desucve neeence Hamonc ode Reeence: M.en e al Phys.Rev.e

25 Two-cene Ineeence n HHG R R Cos θ λ k I G kn+ - Desucve neeence kn - Consucve neeence kn+ - Consucve neeence kn - Desucve neeence Hamonc ode Two-cene Ineeence s pesen only n Dec hamonc emsson Dec D α g g â φ α g ψ â φ change α â φ g g

26 HHG Role o Ionc ecaons R I.0 4 W/cm λ800 nm N0

27 HHG Role o Ionc ecaons R I.0 4 W/cm λ800 nm N0

28 HHG Role o Ionc ecaons R I.0 4 W/cm λ800 nm N0 θ0 o M M M I M /I Hamonc ode 0.5

29 HHG Role o Ionc ecaons 9e 06 θ0 o 6e 06 Gound Dec s ced Dec 3e e 06 6e 06 I I Cosφ 9e Hamonc ode ψ D â φ ψ D â φ ψ D ψ D Desucve neeence!

30 HHG Role o Ionc ecaons θ0 o s ced sae 0 3 Dec change Hamonc ode Desucve neeence! Dec D ψ D ψ D ψ g change D ψ D ψ ψ >> D D ψ

31 HHG Role o Ionc ecaons 0 0 θ0 o M M M M Hamonc ode Role o onc ecaons n HHG econsucon o Molecula Obals s sgncan!

32 Summay MCTDH s mplemened o sudy he coelaed dynamcs o elecons n song lase elds. Role o elecon escaeng n he mul-elecon ecaons s sgncan. Developmen o Ionc gensae Resolved HHG echnque o analyze he ole o onc egensaes n hamonc emsson. The nluence o mul-elecon ecaons and echange n HHG s sgncan. lecon coelaon can lead o nceasng/loweng o Two-Cene Ineeence n HHG.