Unifying treatment of nonequilibrium and unstable dynamics of cold bosonic atom system with time-dependent order parameter in Thermo Filed Dynamics
arXiv:1007.1847 · doi:10.1016/j.aop.2010.12.002
Abstract
The coupled equations which describe the temporal evolution of the Bose-Einstein condensed system are derived in the framework of nonequilibrium Thermo Field Dynamics. The key element is that they are not the naive assemblages of presumable equations, but are the self-consistent ones derived by appropriate renormalization conditions. While the order parameter is time-dependent, an explicit quasiparticle picture is constructed by a time-dependent expansion. Our formulation is valid even for the system with a unstable condensate, and describes the condensate decay caused by the Landau instability as well as by the dynamical one.
arXiv comment10 pages, 6 figures
References in corpus (16)
- Theory of Bose-Einstein condensation in trapped gases
- Landau and Dynamical Instabilities of the Superflow of Bose-Einstein Condensates in Optical Lattices
- Observation of dynamical instability for a Bose-Einstein condensate in a moving 1D optical lattice
- Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
- Dynamical Instability of a Doubly Quantized Vortex in a Bose-Einstein condensate
- Coherent disintegration and stability of vortices in trapped Bose condensate
- Kinetics of Bose-Einstein Condensation in a Trap
- Splitting Instability of a Multiply Charged Vortex in a Bose-Einstein Condensate
- Instabilities of vortices in a binary mixture of trapped Bose-Einstein condensates: Role of excitations with positive and negative energies
- Unstable regimes for a Bose-Einstein condensate in an optical lattice
- Splitting times of doubly quantized vortices in dilute Bose-Einstein condensates
- Bogoliubov sound speed in periodically modulated Bose-Einstein condensates
- Dynamical evolution of a doubly-quantized vortex imprinted in a Bose-Einstein Condensate
- Conserving Gapless Mean-Field Theory for Weakly Interacting Bose Gases
- Condition for emergence of complex eigenvalues in the Bogoliubov-de Gennes equations
- Quantum Field Theoretical Description of Unstable Behavior of Trapped Bose-Einstein Condensates with Complex Eigenvalues of Bogoliubov-de Gennes Equations
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- Self-Energy Renormalization for Inhomogeneous Nonequilibrium Systems and Field Expansion via Complete Set of Time-Dependent Wave Functions