Quantum Kinetic Theory of BEC Lattice Gas:Boltzmann Equations from 2PI-CTP Effective Action

Abstract

We continue our earlier work [Ana Maria Rey, B. L. Hu, Esteban Calzetta, Albert Roura and Charles W. Clark, Phys. Rev. A 69, 033610 (2004)] on the nonequilibrium dynamics of a Bose Einstein condensate (BEC) selectively loaded into every third site of a one-dimensional optical lattice. From the two-particle irreducible (2PI) closed-time-path (CTP) effective action for the Bose- Hubbard Hamiltonian, we show how to obtain the Kadanoff-Baym equations of quantum kinetic theory. Using the quasiparticle approximation, we show that the local equilibrium solutions of these equations reproduce the second- order corrections to the self-energy originally derived by Beliaev. This work paves the way for the use of effective action methods in the derivation of quantum kinetic theory of many atom systems.

21 pages, 0 figures, minor editorial changes were made

References in corpus (3)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• Effect of quantum fluctuations on the dipolar motion of Bose-Einstein condensates in optical lattices

Cited by in corpus (15)

• Nonequilibrium dynamics of closed interacting quantum systems
• Production of cold molecules via magnetically tunable Feshbach resonances
• Phase space representation of quantum dynamics
• Finite Temperature Models of Bose-Einstein Condensation
• Nonperturbative dynamical many-body theory of a Bose-Einstein condensate
• Schwinger-Keldysh approach to out of equilibrium dynamics of the Bose Hubbard model with time varying hopping
• Ultracold gases far from equilibrium
• Light-cone like spreading of single-particle correlations in the Bose-Hubbard model after a quantum quench in the strong coupling regime
• Bose - Einstein Condensate Superfluid-Mott Insulator Transition in an Optical Lattice
• Non-equilibrium dynamics of a Bose-Einstein condensate in an optical lattice
• 2PI nonequilibrium versus transport equations for an ultracold Bose gas
• Comparative studies of many-body corrections to an interacting Bose condensate
• Contour-time approach to the Bose-Hubbard model in the strong coupling regime: Studying two-point spatio-temporal correlations at the Hartree-Fock-Bogoliubov level
• Coarse-Grained Finite-Temperature Theory for the Condensate in Optical Lattices
• Thermalization of isolated Bose-Einstein condensates by dynamical heat bath generation