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Thermalization with detailed-balanced two-site Lindblad dissipators
Mikel Palmero1, Xiansong Xu1, Chu Guo2
1Science and Math Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore.
Abstract:
The use of two-site Lindblad dissipators to generate thermal states and study heat transport was raised to prominence by Prosen and Žnidarič [J. Stat. Mech. (2009) P020351742-546810.1088/1742-5468/2009/02/P02035]. Here we propose a variant of this method based on detailed balance of internal levels of the two-site Hamiltonian and characterize its performance. We study the thermalization profile in the chain, the effective temperatures achieved by different single- and two-site observables, and we also investigate the decay of two-time correlations. We find that at a large enough temperature, the steady state approaches closely a thermal state, with a relative error below 1% for the inverse temperature estimated from different observables.
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