Finite size effects and equilibration in Bose-Hubbard chains with central well dephasing

Abstract

We investigate Bose-Hubbard chains in a central depleted well configuration, with dephasing in the middle well. We look at equilibration of populations, pseudo-entropy, and entanglement measures. Using stochastic integration in the truncated Wigner representation, we find that the initial quantum states of the occupied wells has an influence on the subsequent dynamics, and that with more than three wells, the chains do not reach a full equilibrium, with edge effects becoming important, and the time to reach the steady state becoming longer. The evolutions with and without phase diffusion are qualitatively different. We find no convincing evidence of entanglement in the final states with phase diffusion. Although at least one accepted measure indicates the presence of mode entanglement, we are easily able to show that it can give ambiguous predictions.

20 pages, 12 figures, theory

References in corpus (6)

• Single-Spin Addressing in an Atomic Mott Insulator
• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• XMDS2: Fast, scalable simulation of coupled stochastic partial differential equations
• Detection of continuous variable entanglement without coherent local oscillators
• Entanglement Entropy and Mutual Information in Bose-Einstein Condensates
• Negative differential conductivity and quantum statistical effects in a three-site Bose-Hubbard model

Cited by in corpus (2)

• Two-Time Correlation Functions in Dissipative and Interacting Bose-Hubbard Chains
• Quantum behaviour of pumped and damped triangular Bose Hubbard systems