Tomsovic, Steven (2018) Complex saddle trajectories for multidimensional quantum wave packet and coherent state propagation: Application to a many-body system. PHYSICAL REVIEW E, 98 (2): 023301. ISSN 2470-0045, 2470-0053
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A practical search technique for finding the complex saddle points used in wave packet and coherent state propagation is developed which works for a large class of Hamiltonian dynamical systems with many degrees of freedom. The method can be applied to problems in atomic, molecular, and optical physics and other domains. A Bose-Hubbard model is used to illustrate the application to a many-body system where discrete symmetries play an important and fascinating role. For multidimensional wave packet propagation, locating the necessary saddles involves the seemingly insurmountable difficulty of solving a boundary value problem in a high-dimensional complex space, followed by determining whether each particular saddle found actually contributes. In principle, this must be done for each propagation time considered. The method derived here identifies a real search space of minimal dimension, which leads to a complete set of contributing saddles up to intermediate times much longer than the Ehrenfest timescale for the system. The analysis also gives a powerful tool for rapidly identifying the various dynamical regimes of the system.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SEMICLASSICAL DYNAMICS; TIME; LONG; EVOLUTION; BREAKING; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 13 Feb 2020 09:25 |
| Last Modified: | 13 Feb 2020 09:25 |
| URI: | https://pred.uni-regensburg.de/id/eprint/14066 |
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