Dynamics of a Bose-Einstein condensate in a symmetric triple-well trap
arXiv:1011.1138 · doi:10.1088/1751-8113/44/17/175301
Abstract
We present a complete analysis of the dynamics of a Bose-Einstein condensate trapped in a symmetric triple-well potential. Our classical analogue treatment, based on a time-dependent variational method using SU(3) coherent states, includes the parameter dependence analysis of the equilibrium points and their local stability, which is closely related to the condensate collective behaviour. We also consider the effects of off-site interactions, and how these "cross-collisions" may become relevant for a large number of trapped bosons. Besides, we have shown analytically, by means of a simple basis transformation in the single-particle space, that an integrable sub-regime, known as twin-condensate dynamics, corresponds in the classical phase space to invariant surfaces isomorphic to the unit sphere. However, the quantum dynamics preserves the twin-condensate defining characteristics only partially, thus breaking the invariance of the associated quantum subspace. Moreover, the periodic geometry of the trapping potential allowed us to investigate the dynamics of finite angular momentum collective excitations, which can be suppressed by the emergence of chaos. Finally, using the generalized purity associated to the su(3) algebra, we were able to quantify the dynamical classicality of a quantum evolved system, as compared to the corresponding classical trajectory.
arXiv comment22 pages, 10 figures
References in corpus (26)
- Theory of Bose-Einstein condensation in trapped gases
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- A subsystem-independent generalization of entanglement
- Entanglement of two-mode Bose-Einstein condensates
- Generalizations of entanglement based on coherent states and convex sets
- Nature and Measure of Entanglement in Quantum Phase Transitions
- Collective modes, chaotic behavior and self-trapping in the dynamics of three coupled Bose-Einstein condensates
- Josephson Oscillation and Transition to Self-Trapping for Bose-Einstein-Condensates in a Triple-Well Trap
- Transistor-Like Behavior of a Bose-Einstein Condensate in a Triple Well Potential
- Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
- Quantum Dynamics of Three Coupled Atomic Bose-Einstein Condensates
- Generalized coherent states for SU(n) systems
- Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model
- Semiclassical approach to Bose-Einstein condensates in a triple well potential
- Dynamical Instability in a Trimeric Chain of Interacting Bose-Einstein Condensates
- Self-trapping mechanisms in the dynamics of three coupled Bose-Einstein condensates
- Coherent States For SU(3)
- Semiclassical quantization of the Bogoliubov spectrum
- Semiclassical coherent state propagator for systems with spin
- Phase Transition, Entanglement and Squeezing in a Triple-Well Condensate
- Superpositions of SU(3) coherent states via a nonlinear evolution
- Control of unstable macroscopic oscillations in the dynamics of three coupled Bose condensates
- Generalized Purity and Quantum Phase Transition for Bose-Einstein condensates in a Symmetric Double Well
- Persistence of mean-field features in the energy spectrum of small arrays of Bose-Einstein condensates
- Coherent state approach to the cross collisional effects in the population dynamics of a two-mode Bose-Einstein condensate
- Collision-Dependent Atom Tunnelling Rate in Bose-Einstein Condensates
Cited by in corpus (30)
- Coherent tunneling via adiabatic passage in a three-well Bose-Hubbard system
- Minimal Fokker-Planck theory for the thermalization of mesoscopic subsystems
- Interacting bosons in a triple well: Preface of many-body quantum chaos
- Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
- Entanglement entropy and macroscopic quantum states with dipolar bosons in a triple-well potential
- Operator growth and Krylov Complexity in Bose-Hubbard Model
- Superfluidity and Chaos in low dimensional circuits
- Triangular Bose-Hubbard trimer as a minimal model for a superfluid circuit
- Chaos in the three-site Bose-Hubbard model -- classical vs quantum
- Bose-Hubbard model in a ring-shaped optical lattice with high filling factors
- Caustics in quantum many-body dynamics
- Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
- Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice
- Nonlinear dynamics of Rydberg-dressed Bose-Einstein condensates in a triple-well potential
- Dynamics of the central-depleted-well regime in the open Bose-Hubbard trimer
- Tunneling dynamics in exactly-solvable models with triple-well potentials
- Eigenstate thermalization scaling in approaching the classical limit
- From integrability to chaos: the quantum-classical correspondence in a triple well bosonic model
- Dynamics in multiple-well Bose-Einstein condensates
- Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations
- Multiconfigurational quantum propagation with trajectory-guided generalized coherent states
- Initial value representation for the SU(n) semiclassical propagator
- Qutrit squeezing via semiclassical evolution
- Ultracold dipolar bosons trapped in atomtronic circuits
- Dynamics of localized states in extended supersymmetric quantum mechanics with multi-well potentials
- Hyperchaos in a Bose-Hubbard chain with Rydberg-dressed interactions
- Dynamical effects of exchange symmetry breaking in mixtures of interacting bosons
- Quasistatic transfer protocols for atomtronic superfluid circuits
- Quantum irreversibility of quasistatic protocols for finite-size quantized systems
- Metastability, chaos and spectrum tomography for Bose-Hubbard rings and chains