Quantum dynamics of a four-well Bose-Hubbard model with two different tunneling rates

Abstract

We consider a theoretical model of a four-mode Bose-Hubbard model consisting of two pairs of wells coupled via two processes with two different rates. The model is naturally divided into two subsystems with strong intra-system coupling and much weaker coupling between the two subsystems and has previously been introduced as a model for Josephson heat oscillations by Strzys and Anglin [\pra {\bf 81}, 043616 (2010) ]. We examine the quantum dynamics of this model for a range of different initial conditions, in terms of both the number distribution among the wells and the quantum statistics. We find that the time evolution is different to that predicted by a mean-field model and that this system exhibits a wide range of interesting behaviours. We find that the system equilibriates to a maximum entropy state and is thus a useful model for quantum thermalisation. As our model may be realised to a good approximation in the laboratory, it becomes a candidate for experimental investigation.

References in corpus (4)

• Thermalization and its mechanism for generic isolated quantum systems
• Numerical representation of quantum states in the positive-P and Wigner representations
• Detection of continuous variable entanglement without coherent local oscillators
• Second Josephson oscillations

Cited by in corpus (19)

• Isolated quantum heat engine
• Einstein-Podolsky-Rosen entanglement and steering in two-well BEC ground states
• Dynamics of exciton-polaritons in a Josephson double dimer
• Spreading of entanglement and steering along small Bose-Hubbard chains
• Pathway toward the formation of supermixed states in ultracold boson mixtures loaded in ring lattices
• Quantum phase-space analysis of population equilibration in multi-well ultracold atomic systems
• Asymmetric steering in coherent transport of atomic population with a three-well Bose-Hubbard model
• Quantum integrable multi-well tunneling models
• Quantum dynamics and entanglement in coherent transport of atomic population
• Quantum ultra-cold atomtronics
• Negative differential conductivity and quantum statistical effects in a three-site Bose-Hubbard model
• Integrable model of bosons in a four-well ring with anisotropic tunneling
• An extension of Bogoliubov theory for a many-body system with a time scale hierarchy: the quantum mechanics of second Josephson oscillations
• Coherence oscillations between weakly coupled Bose-Hubbard dimers
• Self-trapping of excitations: Two-dimensional quasiparticle solitons in an extended Bose-Hubbard dimer array
• Finite size effects and equilibration in Bose-Hubbard chains with central well dephasing
• Many-body effects in a composite bosonic Josephson junction
• Quantum-field-theoretical approach to phase-space techniques: Symmetric Wick theorem and multitime Wigner representation
• Arnold web and dynamical tunneling in a four-site Bose-Hubbard model