Dynamics of a many-particle Landau-Zener model: Inverse sweep
Abstract
We consider dynamics of a slowly time-dependent Dicke model, which represents a many-body generalization of the Landau-Zener model. In particular, the model describes narrow Feshbach resonance passage in an ultracold gas of Fermi atoms. Adiabaticity is destroyed when a parameter crosses a critical value, even at very slow sweeping rates of a parameter. The dynamics crucially depends on direction of the sweep. We apply our recent analysis (A. P. Itin and P. Toermae, e-print arXiv:0901.4778) to the 'inverse' sweep through the resonance, corresponding (in a context of Feshbach resonance passage) to dissociation of molecules. On a level of the mean-field approximation, the dynamics is equivalent to a molecular condensate formation from Bose atoms within a two-mode model. Mapping the system to a Painleve equation allows us to calculate deviation from adiabaticity at very slow sweeps analytically.
- Authors:
-
- Department of Applied Physics, Helsinki University of Technology, P.O. Box 5100, 02015 (Finland)
- Publication Date:
- OSTI Identifier:
- 21313153
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. A
- Additional Journal Information:
- Journal Volume: 79; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.79.055602; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; APPROXIMATIONS; ATOMS; BOSONS; DISSOCIATION; EQUATIONS; FERMIONS; MANY-BODY PROBLEM; MEAN-FIELD THEORY; MOLECULES; PARTICLES; RADIATION PRESSURE; RESONANCE; TIME DEPENDENCE
Citation Formats
Itin, A P, Space Research Institute, RAS, Profsoyuznaya Str. 84/32, 117997 Moscow, and Toermae, P. Dynamics of a many-particle Landau-Zener model: Inverse sweep. United States: N. p., 2009.
Web. doi:10.1103/PHYSREVA.79.055602.
Itin, A P, Space Research Institute, RAS, Profsoyuznaya Str. 84/32, 117997 Moscow, & Toermae, P. Dynamics of a many-particle Landau-Zener model: Inverse sweep. United States. https://doi.org/10.1103/PHYSREVA.79.055602
Itin, A P, Space Research Institute, RAS, Profsoyuznaya Str. 84/32, 117997 Moscow, and Toermae, P. 2009.
"Dynamics of a many-particle Landau-Zener model: Inverse sweep". United States. https://doi.org/10.1103/PHYSREVA.79.055602.
@article{osti_21313153,
title = {Dynamics of a many-particle Landau-Zener model: Inverse sweep},
author = {Itin, A P and Space Research Institute, RAS, Profsoyuznaya Str. 84/32, 117997 Moscow and Toermae, P},
abstractNote = {We consider dynamics of a slowly time-dependent Dicke model, which represents a many-body generalization of the Landau-Zener model. In particular, the model describes narrow Feshbach resonance passage in an ultracold gas of Fermi atoms. Adiabaticity is destroyed when a parameter crosses a critical value, even at very slow sweeping rates of a parameter. The dynamics crucially depends on direction of the sweep. We apply our recent analysis (A. P. Itin and P. Toermae, e-print arXiv:0901.4778) to the 'inverse' sweep through the resonance, corresponding (in a context of Feshbach resonance passage) to dissociation of molecules. On a level of the mean-field approximation, the dynamics is equivalent to a molecular condensate formation from Bose atoms within a two-mode model. Mapping the system to a Painleve equation allows us to calculate deviation from adiabaticity at very slow sweeps analytically.},
doi = {10.1103/PHYSREVA.79.055602},
url = {https://www.osti.gov/biblio/21313153},
journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 79,
place = {United States},
year = {Fri May 15 00:00:00 EDT 2009},
month = {Fri May 15 00:00:00 EDT 2009}
}