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.

6 pages, 5 figures

References in corpus (6)

• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Implementation of Spin Hamiltonians in Optical Lattices
• Adiabatic Theory of Nonlinear Evolution of Quantum States
• Entanglement in a first order quantum phase transition
• Commutability between Semiclassical Limit and Adiabatic Limit
• Critical onset in coherent oscillations between two weakly coupled Bose-Einstein condensates

Cited by in corpus (7)

• Josephson Oscillation and Transition to Self-Trapping for Bose-Einstein-Condensates in a Triple-Well Trap
• NOON states with ultracold bosonic atoms via resonance- and chaos-assisted tunneling
• Quantum breathers in capacitively coupled Josephson junctions: Correlations, number conservation, and entanglement
• 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
• Measure synchronization in interacting Hamiltonian systems: A brief review
• Cyclotron dynamics of a Bose-Einstein condensate in a quadruple-well potential with synthetic gauge fields