Nonequilibrium thermal entanglement for simple spin chains
Abstract
The dynamics of a chain of two and three spins coupled at both ends to separate bosonic baths at different temperatures is studied. An exact analytical solution of the quantum master equation in the Born-Markov approximation for the reduced density matrix of the chain is constructed. It is shown that for long times the reduced density matrix converges to the nonequilibrium steady-state. Dynamical and steady state properties of the concurrence between the first and the last spin are studied.
- Publication:
-
Quantum Africa 2010: Theoretical and Experimental Foundations of Recent Quantum Technology
- Pub Date:
- September 2012
- DOI:
- 10.1063/1.4746065
- Bibcode:
- 2012AIPC.1469...91S
- Keywords:
-
- Markov processes;
- master equation;
- quantum entanglement;
- temperature;
- 02.30.-f;
- 02.50.Ga;
- 03.65.Ta;
- 03.65.Ud;
- 05.40.-a;
- 05.70.-a;
- Function theory analysis;
- Markov processes;
- Foundations of quantum mechanics;
- measurement theory;
- Entanglement and quantum nonlocality;
- Fluctuation phenomena random processes noise and Brownian motion;
- Thermodynamics