Quantum and thermal fluctuations in bosonic Josephson junctions

Abstract

We use the Bose-Hubbard Hamiltonian to study quantum fluctuations in canonical equilibrium ensembles of bosonic Josephson junctions at relatively high temperatures, comparing the results for finite particle numbers to the classical limit that is attained as $N$ approaches infinity. We consider both attractive and repulsive atom-atom interactions, with especial focus on the behavior near the T=0 quantum phase transition that occurs, for large enough $N$, when attractive interactions surpass a critical level. Differences between Bose-Hubbard results for small $N$ and those of the classical limit are quite small even when $N\sim 100$, with deviations from the limit diminishing as 1/N.

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• Non-linear mixing of Bogoliubov modes in a bosonic Josephson junction
• Equilibration and nonclassicality of a double-well potential
• Extended Bose-Hubbard model with pair tunneling: spontaneous symmetry breaking, effective ground state and fragmentation
• The effects of trap-confinement and interatomic interactions on Josephson effects and macroscopic quantum self-trapping for a Bose-Einstein Condensate
• Entanglement and entropy production in coupled single-mode Bose-Einstein condensates
• Finite-temperature entanglement and coherence in asymmetric bosonic Josephson junctions
• A two-state model for vortex nucleation in a rotating Bose-Einstein condensate