Dynamics of the Bose-Hubbard model: Transition from a Mott insulator to a superfluid

Journal Article · Thu Feb 15 04:00:00 EST 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.75.023603· OSTI ID:20982154

Cucchietti, Fernando M; Damski, Bogdan; Zurek, Wojciech H ^[1]; Dziarmaga, Jacek ^[2]

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1. Theory Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Institute of Physics and Centre for Complex Systems, Jagiellonian University, Reymonta 4, 30-059 Krakow, (Poland)

We study the dynamics of phase transitions in the one-dimensional Bose-Hubbard model. To drive the system from a Mott insulator to a superfluid phase, we change the tunneling frequency at a finite rate. We investigate the buildup of correlations during fast and slow transitions using variational wave functions, dynamical Bogoliubov theory, Kibble-Zurek mechanism, and numerical simulations. We show that time-dependent correlations satisfy characteristic scaling relations that can be measured in optical lattices filled with cold atoms.

• OSTI ID: 20982154
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 75; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATOMS
BBGKY EQUATION
CORRELATIONS
DIELECTRIC MATERIALS
HUBBARD MODEL
NUMERICAL ANALYSIS
ONE-DIMENSIONAL CALCULATIONS
OPTICAL MODELS
PHASE TRANSFORMATIONS
SCALING
SIMULATION
SUPERFLUIDITY
TIME DEPENDENCE
TUNNEL EFFECT
VARIATIONAL METHODS
WAVE FUNCTIONS