Order parameter for the dynamical phase transition in Bose-Einstein condensates with topological modes
arXiv:0709.3780 · doi:10.1103/PhysRevA.76.033608
Abstract
In a trapped Bose-Einstein condensate, subject to the action of an alternating external field, coherent topological modes can be resonantly excited. Depending on the amplitude of the external field and detuning parameter, there are two principally different regimes of motion, with mode locking and without it. The change of the dynamic regime corresponds to a dynamic phase transition. This transition can be characterized by an effective order parameter defined as the difference between fractional mode populations averaged over the temporal period of oscillations. The behavior of this order parameter, as a function of detuning, pumping amplitude, and atomic interactions is carefully analyzed. A special attention is payed to numerical calculations for the realistic case of a quadrupole exciting field and the system parameters accessible in current experiments.
References in corpus (16)
- Theory of Bose-Einstein condensation in trapped gases
- Theory of the Weakly Interacting Bose Gas
- Coupled-mode theory for Bose-Einstein condensates
- Fermi-Bose mapping for one-dimensional Bose gases
- Physics with Coherent Matter Waves
- Weakly Interacting, Dilute Bose Gases in 2D
- Principal problems in Bose-Einstein condensation of dilute gases
- Bose-Einstein condensate in a double-well potential as an open quantum system
- Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length
- Non-Ground-State Bose-Einstein Condensates of Trapped Atoms
- Nonlinear Coherent Modes of Trapped Bose-Einstein Condensates
- States without linear counterpart in Bose-Einstein condensates
- Resonant Generation of Topological Modes in Trapped Bose Gases
- Nonequilibrium Bose systems and nonground-state Bose-Einstein condensates
- Condensate Heating by Atomic Losses
- Dynamic Critical Phenomena in Trapped Bose Gases
Cited by in corpus (8)
- Cold Bosons in Optical Lattices
- Basics of Bose-Einstein Condensation
- Effects of symmetry breaking in finite quantum systems
- Spin squeezing in an ensemble of quadrupolar nuclei NMR system
- Generation of nonground-state Bose-Einstein condensates by modulating atomic interactions
- Classical bifurcation in a quadrupolar NMR system
- Generation of nonground-state condensates and adiabatic paradox
- From Coherent Modes to Turbulence and Granulation of Trapped Gases