Entanglement in two site Bose-Hubbard model

TL;DR

This paper investigates how non-linear damping affects decoherence and entanglement in a two-site Bose-Hubbard model using thermo field dynamics and Hartree-Fock approximation for analytical solutions.

Contribution

It introduces an analytical approach to study decoherence and entanglement in the two-site Bose-Hubbard model with non-linear damping, combining thermo field dynamics and Hartree-Fock methods.

Findings

Analytical solutions for short-time decoherence and entanglement.

Impact of non-linear damping on entanglement decay.

Self-consistent computation of expectation values.

Abstract

In this paper, we study the decoherence and entanglement properties for the two site Bose-Hubbard model in the presence of a non-linear damping. We apply the techniques of thermo field dynamics and then use Hartree-Fock approximation to solve the corresponding master equation. The expectation values of the approximated field operators appearing in the solution of master equation, are computed self-consistently. We solve this master equation for a small time $t$ so that we get the analytical solution, thereby we compute the decoherence and entanglement properties of the solution of the two-mode bosonic system.