Phase Transition, Entanglement and Squeezing in a Triple-Well Condensate

Abstract

We provide an in-depth characterization of a three modes Bose-Einstein condensate trapped in a symmetric circular triple well potential. We analyze how a subsystem independent measure of entanglement, the purity related to the su(3) algebra, scales for increasing number of atoms and signals correctly the quantum phase transition between two dynamical regimes in a specific arrangement. Moreover, this measure, which is intrinsically related to particle entanglement, also depicts if some squeezing is occurring when we consider the system's ground state.

6 pages, 5 figures

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• Coherent state approach to the cross collisional effects in the population dynamics of a two-mode Bose-Einstein condensate

Cited by in corpus (15)

• Dynamics of a Bose-Einstein condensate in a symmetric triple-well trap
• Coherent tunneling via adiabatic passage in a three-well Bose-Hubbard system
• 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
• Dynamical bifurcation as a semiclassical counterpart of a quantum phase transition
• Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
• Multiconfigurational quantum propagation with trajectory-guided generalized coherent states
• Initial value representation for the SU(n) semiclassical propagator
• Coherent control of phase diffusion in a Bosonic Josephson junction by scattering length modulation
• Dynamical effects of exchange symmetry breaking in mixtures of interacting bosons
• Dynamical studies of macroscopic superposition states: Phase engineering of controlled entangled number states of Bose-Einstein condensate in multiple wells
• Intrinsic decoherence and purity in a Bose quantum fluid in a triple well potential
• Correspondence rules for Wigner functions over SU(3)/U(2)
• Quantum phase transition in an effective three-mode model of interacting bosons