https://doi.org/10.1140/epjp/s13360-020-00225-x
Regular Article
Dynamics of entanglement creation between two spins coupled to a chain
1
Institut Jean Lamour, dpt P2M, Groupe de Physique Statistique, Université de Lorraine-CNRS, B.P. 70239, 54506, Vandœuvre-lès-Nancy Cedex, France
2
Theoretische Physik, Universität des Saarlandes, 66123, Saarbrücken, Germany
3
Departamento de Física, Universidade Federal de Santa Catarina, Florianópolis, 88040-900, Brazil
4
Laboratoire de Physique et Chimie Théoriques, UMR CNRS 7019, Université de Lorraine, BP 239, 54506, Vandœuvre-lès-Nancy Cedex, France
* e-mail: b.taketani@ufsc.br
Received:
7
June
2019
Accepted:
20
November
2019
Published online:
1
February
2020
We study the dynamics of entanglement between two spins which is created by the coupling to a common thermal reservoir. The reservoir is a spin-
Ising transverse field chain thermally excited; the two defect spins couple to two spins of the chain which can be at a macroscopic distance. In the weak-coupling and low-temperature limit, the spin chain is mapped onto a bath of linearly interacting oscillators using the Holstein–Primakoff transformation. We analyze the time evolution of the density matrix of the two defect spins for transient times and deduce the entanglement which is generated by the common reservoir. We discuss several scenarios for different initial states of the two spins and for varying distances.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
