Optimal time-dependent lattice models for nonequilibrium dynamics
Lattice models are central to the physics of ultracold atoms and condensed matter. Generally, lattice models contain time-independent hopping and interaction parameters that are derived from the Wannier functions of the noninteracting problem. Here, we present a new concept based on time-dependent W...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
5 April 2011
|
| In: |
New journal of physics
Year: 2011, Volume: 13, Issue: 4, Pages: 1-11 |
| ISSN: | 1367-2630 |
| DOI: | 10.1088/1367-2630/13/4/043003 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/1367-2630/13/4/043003
|
| Author Notes: | Kaspar Sakmann, Alexej I. Streltsov, Ofir E. Alon and Lorenz S. Cederbaum |
| Summary: | Lattice models are central to the physics of ultracold atoms and condensed matter. Generally, lattice models contain time-independent hopping and interaction parameters that are derived from the Wannier functions of the noninteracting problem. Here, we present a new concept based on time-dependent Wannier functions and the variational principle that leads to optimal time-dependent lattice models. As an application, we use the Bose-Hubbard model with time-dependent Wannier functions to study an interaction quench scenario involving higher bands. We find a separation of time-scales in the dynamics. The results are compared with numerically exact results of the time-dependent many-body Schrödinger equation. We thereby show that—under some circumstances—the multi-band nonequilibrium dynamics of a quantum system can be obtained essentially at the cost of a single-band model. |
|---|---|
| Item Description: | Gesehen am 30.09.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1367-2630 |
| DOI: | 10.1088/1367-2630/13/4/043003 |