Local master equations may fail to describe dissipative critical behavior

• URL: http://arxiv.org/abs/2012.09907v2
• Date: Tue, 22 Mar 2022 21:37:01 GMT
• Title: Local master equations may fail to describe dissipative critical behavior
• Authors: Michael Konopik and Eric Lutz
• Abstract summary: Local quantum master equations provide a simple description of interacting subsystems coupled to different reservoirs. We evaluate the steady-state mean occupation number for varying temperature differences and find that local master equations generally fail to reproduce the results of an exact quantum-Langevin-equation description.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Local quantum master equations provide a simple description of interacting subsystems coupled to different reservoirs. They have been widely used to study nonequilibrium critical phenomena in open quantum systems. We here investigate the validity of such a local approach by analyzing a paradigmatic system made of two harmonic oscillators each in contact with a heat bath. We evaluate the steady-state mean occupation number for varying temperature differences and find that local master equations generally fail to reproduce the results of an exact quantum-Langevin-equation description. We relate this property to the inability of the local scheme to properly characterize intersystem correlations, which we quantify with the help of the quantum mutual information.

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