Recursive formulation of the multiconfigurational time-dependent Hartree method for fermions, bosons and mixtures thereof in terms of one-body density operators
The multiconfigurational time-dependent Hartree method (MCTDH) [H.-D. Meyer, U. Manthe, L.S. Cederbaum, Chem. Phys. Lett. 165, 73 (1990); U. Manthe, H.-D. Meyer, L.S. Cederbaum, J. Chem. Phys. 97, 3199 (1992)] is celebrating nowadays entering its third decade of tackling numerically-exactly a broad...
Gespeichert in:
| Hauptverfasser: | , , , , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2012
|
| In: |
Chemical physics
Year: 2011, Jahrgang: 401, Pages: 2-14 |
| DOI: | 10.1016/j.chemphys.2011.09.026 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1016/j.chemphys.2011.09.026 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0301010411004198 
|
| Verfasserangaben: | Ofir E. Alon, Alexej I. Streltsov, Kaspar Sakmann, Axel U. J. Lode, Julian Grond, Lorenz S. Cederbaum |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1572584556 | ||
| 003 | DE-627 | ||
| 005 | 20230426124312.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180503r20122011xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1016/j.chemphys.2011.09.026 |2 doi | |
| 035 | |a (DE-627)1572584556 | ||
| 035 | |a (DE-576)502584556 | ||
| 035 | |a (DE-599)BSZ502584556 | ||
| 035 | |a (OCoLC)1341007983 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 30 |2 sdnb | ||
| 100 | 1 | |a Alon, Ofir E. |e VerfasserIn |0 (DE-588)1157034608 |0 (DE-627)1020030569 |0 (DE-576)502585161 |4 aut | |
| 245 | 1 | 0 | |a Recursive formulation of the multiconfigurational time-dependent Hartree method for fermions, bosons and mixtures thereof in terms of one-body density operators |c Ofir E. Alon, Alexej I. Streltsov, Kaspar Sakmann, Axel U. J. Lode, Julian Grond, Lorenz S. Cederbaum |
| 264 | 1 | |c 2012 | |
| 300 | |a 13 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Published online: 8 October 2011 | ||
| 500 | |a Gesehen am 03.05.2018 | ||
| 520 | |a The multiconfigurational time-dependent Hartree method (MCTDH) [H.-D. Meyer, U. Manthe, L.S. Cederbaum, Chem. Phys. Lett. 165, 73 (1990); U. Manthe, H.-D. Meyer, L.S. Cederbaum, J. Chem. Phys. 97, 3199 (1992)] is celebrating nowadays entering its third decade of tackling numerically-exactly a broad range of correlated multi-dimensional non-equilibrium quantum dynamical systems. Taking in recent years particles’ statistics explicitly into account, within the MCTDH for fermions (MCTDHF) and for bosons (MCTDHB), has opened up further opportunities to treat larger systems of interacting identical particles, primarily in laser-atom and cold-atom physics. With the increase of experimental capabilities to simultaneously trap mixtures of two, three, and possibly even multiple kinds of interacting composite identical particles together, we set up the stage in the present work and specify the MCTDH method for such cases. Explicitly, the MCTDH method for systems with three kinds of identical particles interacting via all combinations of two- and three-body forces is presented, and the resulting equations-of-motion are briefly discussed. All four possible mixtures (Fermi-Fermi-Fermi, Bose-Fermi-Fermi, Bose-Bose-Fermi and Bose-Bose-Bose) are presented in a unified manner. Particular attention is paid to represent the coefficients’ part of the equations-of-motion in a compact recursive form in terms of one-body density operators only. The recursion utilizes the recently proposed Combinadic-based mapping for fermionic and bosonic operators in Fock space [A.I. Streltsov, O.E. Alon, L.S. Cederbaum, Phys. Rev. A 81, 022124 (2010)], successfully applied and implemented within MCTDHB. Our work sheds new light on the representation of the coefficients’ part in MCTDHF and MCTDHB without resorting to the matrix elements of the many-body Hamiltonian with respect to the time-dependent configurations. It suggests a recipe for efficient implementation of the schemes derived here for mixtures which is suitable for parallelization. | ||
| 534 | |c 2011 | ||
| 650 | 4 | |a Dirac-Frenkel variational principle | |
| 650 | 4 | |a Fock-space mapping of bosonic and fermionic operators | |
| 650 | 4 | |a MCTDH for Bose-Bose-Bose mixtures (MCTDH-BBB) | |
| 650 | 4 | |a MCTDH for Bose-Bose-Fermi mixtures (MCTDH-BBF) | |
| 650 | 4 | |a MCTDH for Bose-Fermi-Fermi mixtures (MCTDH-BFF) | |
| 650 | 4 | |a MCTDH for bosons (MCTDHB) | |
| 650 | 4 | |a MCTDH for Fermi-Fermi-Fermi mixtures (MCTDH-FFF) | |
| 650 | 4 | |a MCTDH for fermions (MCTDHF) | |
| 650 | 4 | |a Multiconfigurational time-dependent Hartree (MCTDH) | |
| 650 | 4 | |a Reduced density matrices | |
| 650 | 4 | |a Time-dependent many-particle Schrödinger equation | |
| 700 | 1 | |a Streltsov, Alexej Iwanowitsch |e VerfasserIn |0 (DE-588)1157035884 |0 (DE-627)1020032626 |0 (DE-576)502587342 |4 aut | |
| 700 | 1 | |a Sakmann, Kaspar |e VerfasserIn |0 (DE-588)141984325 |0 (DE-627)632856874 |0 (DE-576)327210303 |4 aut | |
| 700 | 1 | |a Lode, Axel U. J. |e VerfasserIn |0 (DE-588)103582471X |0 (DE-627)749615990 |0 (DE-576)288589335 |4 aut | |
| 700 | 1 | |a Grond, Julian |e VerfasserIn |0 (DE-588)1157034888 |0 (DE-627)1020030976 |0 (DE-576)502585706 |4 aut | |
| 700 | 1 | |a Cederbaum, Lorenz S. |d 1946- |e VerfasserIn |0 (DE-588)172484952 |0 (DE-627)697422798 |0 (DE-576)133346145 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Chemical physics |d Amsterdam [u.a.] : Elsevier Science, 1973 |g 401(2012), Seite 2-14 |h Online-Ressource |w (DE-627)306717867 |w (DE-600)1501546-4 |w (DE-576)09408551X |7 nnas |a Recursive formulation of the multiconfigurational time-dependent Hartree method for fermions, bosons and mixtures thereof in terms of one-body density operators |
| 773 | 1 | 8 | |g volume:401 |g year:2012 |g pages:2-14 |g extent:13 |a Recursive formulation of the multiconfigurational time-dependent Hartree method for fermions, bosons and mixtures thereof in terms of one-body density operators |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1016/j.chemphys.2011.09.026 |x Verlag |x Resolving-System |3 Volltext |
| 856 | 4 | 0 | |u http://www.sciencedirect.com/science/article/pii/S0301010411004198 |x Verlag |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20180503 | ||
| 993 | |a Article | ||
| 994 | |a 2012 | ||
| 998 | |g 172484952 |a Cederbaum, Lorenz S. |m 172484952:Cederbaum, Lorenz S. |d 120000 |d 120300 |e 120000PC172484952 |e 120300PC172484952 |k 0/120000/ |k 1/120000/120300/ |p 6 |y j | ||
| 998 | |g 1157034888 |a Grond, Julian |m 1157034888:Grond, Julian |d 130000 |e 130000PG1157034888 |k 0/130000/ |p 5 | ||
| 998 | |g 103582471X |a Lode, Axel Ulrich Jürgen |m 103582471X:Lode, Axel Ulrich Jürgen |d 120000 |d 120300 |e 120000PL103582471X |e 120300PL103582471X |k 0/120000/ |k 1/120000/120300/ |p 4 | ||
| 998 | |g 141984325 |a Sakmann, Kaspar |m 141984325:Sakmann, Kaspar |p 3 | ||
| 998 | |g 1157035884 |a Streltsov, Alexej Iwanowitsch |m 1157035884:Streltsov, Alexej Iwanowitsch |d 120000 |d 120300 |e 120000PS1157035884 |e 120300PS1157035884 |k 0/120000/ |k 1/120000/120300/ |p 2 | ||
| 999 | |a KXP-PPN1572584556 |e 3007836816 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"title":[{"title":"Recursive formulation of the multiconfigurational time-dependent Hartree method for fermions, bosons and mixtures thereof in terms of one-body density operators","title_sort":"Recursive formulation of the multiconfigurational time-dependent Hartree method for fermions, bosons and mixtures thereof in terms of one-body density operators"}],"person":[{"family":"Alon","given":"Ofir E.","roleDisplay":"VerfasserIn","display":"Alon, Ofir E.","role":"aut"},{"role":"aut","roleDisplay":"VerfasserIn","display":"Streltsov, Alexej Iwanowitsch","given":"Alexej Iwanowitsch","family":"Streltsov"},{"given":"Kaspar","family":"Sakmann","role":"aut","roleDisplay":"VerfasserIn","display":"Sakmann, Kaspar"},{"roleDisplay":"VerfasserIn","display":"Lode, Axel U. J.","role":"aut","family":"Lode","given":"Axel U. J."},{"display":"Grond, Julian","roleDisplay":"VerfasserIn","role":"aut","family":"Grond","given":"Julian"},{"role":"aut","roleDisplay":"VerfasserIn","display":"Cederbaum, Lorenz S.","given":"Lorenz S.","family":"Cederbaum"}],"language":["eng"],"recId":"1572584556","note":["Published online: 8 October 2011","Gesehen am 03.05.2018"],"type":{"bibl":"article-journal","media":"Online-Ressource"},"id":{"doi":["10.1016/j.chemphys.2011.09.026"],"eki":["1572584556"]},"origin":[{"dateIssuedKey":"2012","dateIssuedDisp":"2012"}],"name":{"displayForm":["Ofir E. Alon, Alexej I. Streltsov, Kaspar Sakmann, Axel U. J. Lode, Julian Grond, Lorenz S. Cederbaum"]},"relHost":[{"note":["Gesehen am 14.02.06"],"type":{"bibl":"periodical","media":"Online-Ressource"},"disp":"Recursive formulation of the multiconfigurational time-dependent Hartree method for fermions, bosons and mixtures thereof in terms of one-body density operatorsChemical physics","language":["eng"],"recId":"306717867","pubHistory":["1.1973 - 389.2011; Vol. 390.2011 -"],"part":{"pages":"2-14","year":"2012","extent":"13","text":"401(2012), Seite 2-14","volume":"401"},"title":[{"title_sort":"Chemical physics","subtitle":"a journal devoted to experimental and theoretical research involving problems of both a chemical and physical nature","title":"Chemical physics"}],"physDesc":[{"extent":"Online-Ressource"}],"origin":[{"dateIssuedDisp":"1973-","publisher":"Elsevier Science","dateIssuedKey":"1973","publisherPlace":"Amsterdam [u.a.]"}],"id":{"zdb":["1501546-4"],"eki":["306717867"]}}],"physDesc":[{"extent":"13 S."}]} | ||
| SRT | |a ALONOFIRESRECURSIVEF2012 | ||