Effective microscopic models for sympathetic cooling of atomic gases
arXiv:1510.02158 · doi:10.1103/PhysRevA.92.033422
Abstract
Thermalization of a system in the presence of a heat bath has been the subject of many theoretical investigations especially in the framework of solid-state physics. In this setting, the presence of a large bandwidth for the frequency distribution of the harmonic oscillators schematizing the heat bath is crucial, as emphasized in the Caldeira-Leggett model. By contrast, ultracold gases in atomic traps oscillate at well-defined frequencies and therefore seem to lie outside the Caldeira-Leggett paradigm. We introduce interaction Hamiltonians which allow us to adapt the model to an atomic physics framework. The intrinsic nonlinearity of these models differentiates them from the original Caldeira-Leggett model and calls for a nontrivial stability analysis to determine effective ranges for the model parameters. These models allow for molecular dynamics simulations of mixtures of ultracold gases, which is of current relevance for optimizing sympathetic cooling in degenerate Bose-Fermi mixtures.
14 pages, 7 figures
References in corpus (5)
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Cited by in corpus (6)
- Critical Velocity and Dissipation of an ultracold Bose-Fermi Counterflow
- Simulating sympathetic cooling of atomic mixtures in nonlinear traps
- Universal and anomalous behavior in the thermalization of strongly interacting harmonically trapped gas mixtures
- Ehrenfest approach to open double-well dynamics
- Scaling laws for harmonically trapped two-species mixtures at thermal equilibrium
- Relationship between nonlinearities and thermalization in classical open systems: The role of the interaction range