Time-dependent Semiclassics for Ultracold Bosons
arXiv:1403.1096 · doi:10.1103/PhysRevA.89.052112
Abstract
We study the out-of-equilibrium dynamics of ultracold bosons in a double- and triple-well potential within the Bose-Hubbard model by means of the semiclassical Herman-Kluk propagator and compare the results to the frequently applied "classical dynamics" calculation in terms of the truncated Wigner approximation (TWA). For the double-well system we find the semiclassical results in excellent agreement with the numerically exact ones, while the TWA is not able to reproduce any revivals of the wave function. The triple-well system turns out to be more difficult to handle due to the irregularity of the corresponding classical phase space. Here, deviations of the TWA from the exact dynamics appear even for short times, while better agreement is obtained using the semiclassical approach presented in this article.
References in corpus (32)
- Cold bosonic atoms in optical lattices
- Nonequilibrium dynamics of closed interacting quantum systems
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- The cold atom Hubbard toolbox
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Dynamical quantum noise in Bose-Einstein condensates
- Classical bifurcation at the transition from Rabi to Josephson dynamics
- Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional
- The truncated Wigner method for Bose condensed gases: limits of validity and applications
- Condensates beyond mean field theory: quantum backreaction as decoherence
- Dynamics of a two-mode Bose-Einstein condensate beyond mean-field theory
- Quantum phase space picture of Bose-Einstein Condensates in a double well: Proposals for creating macroscopic quantum superposition states and a study of quantum chaos
- Collective modes, chaotic behavior and self-trapping in the dynamics of three coupled Bose-Einstein condensates
- Quantum Dynamics of Three Coupled Atomic Bose-Einstein Condensates
- The Josephson plasmon as a Bogoliubov quasiparticle
- Quantum dynamics in the bosonic Josephson junction
- Classical chaos with Bose-Einstein condensates in tilted optical lattices
- Semiclassical approach to Bose-Einstein condensates in a triple well potential
- Self-trapping mechanisms in the dynamics of three coupled Bose-Einstein condensates
- Semiclassical quantization of an N-particle Bose-Hubbard model
- Analytical results for Josephson dynamics of ultracold Bosons
- Nonlinear tunneling of BEC in an optical lattice: signatures of quantum collapse and revival
- Behaviour of the energy gap in a model of Josephson coupled Bose-Einstein condensates
- Quantum Dynamics of Coupled Bosonic Wells within the Bose-Hubbard Picture
- WKB approach and quantum corrections to classical dynamics in the Josephson problem
- Revivals in the attractive BEC in a double-well potential and their decoherence
- Classical versus quantum dynamics of the atomic Josephson junction
- Number-Phase Wigner Representation for Efficient Stochastic Simulations
- Semiclassical Spectrum of Small Bose-Hubbard Chains: A Normal Form Approach
- Nonlinearity from quantum mechanics: Dynamically unstable Bose-Einstein condensate in a double-well trap
Cited by in corpus (14)
- The Dissipative Bose-Hubbard Model. Methods and Examples
- Post-Ehrenfest many-body quantum interferences in ultracold atoms far-out-of-equilibrium
- Chaos in the three-site Bose-Hubbard model -- classical vs quantum
- Dynamics of interacting bosons using the Herman-Kluk semiclassical initial value representation
- Understanding quantum work in a quantum many-body system
- Describing many-body bosonic waveguide scattering with the truncated Wigner method
- Eigenstate thermalization scaling in approaching the classical limit
- The semiclassical propagator in Fock space: dynamical echo and many-body interference
- Exact variational dynamics of the multimode Bose-Hubbard model based on SU(M) coherent states
- Simulation of the Quantum Dynamics of Indistinguishable Bosons with the Coupled Coherent States Method
- Semiclassical quantisation for a bosonic atom-molecule conversion system
- Quantum Enhancement of Thermalization
- A semiclassical theory of phase-space dynamics of interacting bosons
- Dynamical Phase Transitions, Caustics, and Quantum Dark Bands