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arXiv · 1301.5624

Non-Markovian Equilibration Controlled by Symmetry Breaking

Nicholas Chancellor·Christoph Petri·Stephan Haas
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Abstract

We study the effects of symmetry breaking on non-Markovian dynamics in various system-bath arrangements. It is shown that by breaking certain symmetries features signaling non-Markovian time evolution disappear within a finite time t_{g}. We demonstrate numerically that the scaling of t_{g} with the symmetry breaking strength is different for various types of symmetry. We provide a mathematical explanation for these differences related to the spectrum of the total system-bath Hamiltonian and provide arguments that the scaling properties of t_{g} should be universal.

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Nicholas Chancellor, Christoph Petri, Stephan Haas. 2013-01-23. Non-Markovian Equilibration Controlled by Symmetry Breaking. https://doi.org/10.1103/physrevb.87.184302

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