How two spins can thermalize a third spin
Abstract
We consider thermalization of a microscopic quantum system by interaction with a thermal bath. Our interest is the minimal size the bath can have while still being able to thermalize the system. Within a specific thermalization scheme we show that a single spin-1/2 can be fully thermalized by interaction with a bath that consists of just two other spin-1/2. The two bath spins are initially in a pure, entangled state, and the thermalizing interaction is a Heisenberg exchange-interaction of the system-spin with one of the bath spins. The time dependent coupling strength has to obey a single integral constraint. We also present a simple generalization of this minimal model in which the bath consists of an arbitrary number of spin-1/2 pairs.
Cite
@article{arxiv.1411.2489,
title = {How two spins can thermalize a third spin},
author = {Stephan Kleinbölting and Rochus Klesse},
journal= {arXiv preprint arXiv:1411.2489},
year = {2018}
}
Comments
3 pages, 1 figure