Entanglement dynamics of non-linearly coupled spin-boson model using hierarchical equation of motion approach
Vincentius A Wasesatama, Jusak S Kosasih and Wahyu Hidayat

Theoretical and High Energy Physics Research Division, Department of Physics, Faculty of mathematics and Natural Sciences, Institut Teknologi Bandung, Jl.Ganesha 10 Bandung 40132, INDONESIA

Abstract

One of the most intensively studied issues in the field of open quantum systems is the spin-boson model. In this paper, we consider an extension of the spin-boson model with non-linear coupling of interaction. We solve the entanglement dynamics of two independent spin quadratically coupled with a bath of harmonic oscillators, using numerically ^exact^ approach of hierarchical equations of motion (HEOM). Without Markovian approximation, generalized influence functional formulation by Hu et.al is used to describe the environmental effect of noisy quadratic bath in high-temperature regime. Wotters concurrence is then applied to numerically solved reduced density matrix to visualize entanglement dynamics. By adjusting the environmental parameters, we vary the degree of non-markovianity and found the elongated time of entanglement.

Keywords: Entanglement Dynamics- HEOM- Non-Markovian- Open Quantum Systems- Spin-Boson

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