Quantum Entanglement Manifestation of Transition to Nonlinear Self-trapping for Bose-Einstein Condensates in a Symmetric Double-Well

Abstract

We investigate the nonlinear self-trapping phenomenon of the Bose-Einstein condensates (BEC) in a symmetric double-well, emphasizing on its behind dynamical phase transition. With increasing the nonlinear parameter depicting the interaction between the degenerate atoms the BEC turns to be self-trapped manifesting an asymmetric distribution of the atomic density profile. Essence of this phenomenon is revealed to be a continuous phase transition and underlying critical behavior is studied analytically and found to follow a logarithm scaling-law. We then go beyond the mean field treatment and extend to discuss the effect of the many-body quantum fluctuation on the transition. It is found that the transition point is shifted and the scaling-law is broken. In particular, the quantum phase transition is accompanied by the change of the entanglement entropy which is found to reach maximum at transition point. Behind physics is revealed.

arXiv comment6 pages, 5 figures

References in corpus (33)

• Theory of Bose-Einstein condensation in trapped gases
• Scaling of Entanglement close to a Quantum Phase Transitions
• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Entanglement in a simple quantum phase transition
• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Information and Computation: Classical and Quantum Aspects
• Atom interferometry with Bose-Einstein condensates in a double-well potential
• Quantum Superposition States of Bose-Einstein Condensates
• Local entanglement and quantum phase transition in the Hubbard model
• Entanglement and quantum phase transition in the extended Hubbard model
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Theory of nonlinear Landau-Zener tunneling
• Implementation of Spin Hamiltonians in Optical Lattices
• Adiabatic Theory of Nonlinear Evolution of Quantum States
• Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling
• Entanglement of two-mode Bose-Einstein condensates
• Josephson effects in dilute Bose-Einstein condensates
• Entanglement in a first order quantum phase transition
• 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
• Entanglement dynamics in the Lipkin-Meshkov-Glick model
• Crucial Role of Quantum Entanglement in Bulk Properties of Solids
• Time-dependent tunneling of Bose-Einstein condensates
• Coherent Atomic Oscillations and Resonances between Coupled Bose-Einstein Condensates with Time-Dependent Trapping Potential
• Controlled Generation of Dark Solitons with Phase Imprinting
• The ground state entanglement in the $XXZ$ model
• Josephson tunneling between weakly interacting Bose-Einstein condensates
• Quantum dynamics of a model for two Josephson-coupled Bose--Einstein condensates
• Commutability between Semiclassical Limit and Adiabatic Limit
• Oscillatory decay of a two-component Bose-Einstein condensate
• Quantum Entanglement in the Two Impurity Kondo Model
• Self-Trapping, Quantum Tunneling and Decay Rates for a Bose Gas with Attractive Nonlocal Interaction
• Exploring Quantum Phase Transitions with a Novel Sublattice Entanglement Scenario
• Critical onset in coherent oscillations between two weakly coupled Bose-Einstein condensates

Cited by in corpus (28)

• Josephson Oscillation and Transition to Self-Trapping for Bose-Einstein-Condensates in a Triple-Well Trap
• Effect of Decoherence on the Dynamics of Bose-Einstein Condensates in a Double-well Potential
• Quantum Criticality in a Bosonic Josephson Junction
• Quantum metrology beyond Heisenberg limit with entangled matter wave solitons
• Tunneling, self-trapping and manipulation of higher modes of a BEC in a double well
• Measure synchronization in a two-species bosonic Josephson junction
• Nonequilibrium representative ensembles for isolated quantum systems
• Macroscopic Superposition of Ultracold Atoms with Orbital Degrees of Freedom
• Adiabatic evolution under quantum control
• NOON states with ultracold bosonic atoms via resonance- and chaos-assisted tunneling
• Dynamical bifurcation as a semiclassical counterpart of a quantum phase transition
• Rosen-Zener interferometry with Ultracold Atoms
• Quantum breathers in capacitively coupled Josephson junctions: Correlations, number conservation, and entanglement
• Fisher information manifestation of dynamical stability and transition to self-trapping for Bose-Einstein condensates
• The phase-separation mechanism of a binary mixture in a ring trimer
• Self trapping of a dipolar Bose-Einstein condensate in a double well
• Generalized Purity and Quantum Phase Transition for Bose-Einstein condensates in a Symmetric Double Well
• Self-trapping of a binary Bose-Einstein condensate induced by interspecies interaction
• Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations
• Measure synchronization in interacting Hamiltonian systems: A brief review
• Coherent state approach to the cross collisional effects in the population dynamics of a two-mode Bose-Einstein condensate
• Fock space localization of polaritons in the Jaynes-Cummings dimer model
• Closed system approach to open systems: Tunneling decay of interacting cold bosons in an optical lattice
• Cyclotron dynamics of a Bose-Einstein condensate in a quadruple-well potential with synthetic gauge fields
• Stability and chaotic behavior of Bose-Einstein condensates in optical lattices with two- and three-body interactions
• Heuristic approach to BEC self-trapping in double wells beyond mean-field
• A binary mixture of Bose-Einstein-condensates in a double-well potential: Berry phase and two-mode entanglement
• Enhanced Quantum Metrology via Saddle-Point Scrambling in Phase Space