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Local Master Equation for Small Temperatures

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arxiv 1611.04188 v1 pith:YXMQ5B33 submitted 2016-11-13 quant-ph

Evgeny Mozgunov This is my paper · ORCID
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keywords equationlocalsystemmastersizestatetemperaturesbond
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We present a local Master equation for open system dynamics in two forms: Markovian and non-Markovian. Both have a wider range of validity than the Lindblad equation investigated by Davies. For low temperatures, they do not require coupling to be exponentially weak in the system size. If the state remains a low bond dimension Matrix Product State throughout the evolution, the local equation can be simulated in time polynomial in system size.

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  1. Completely positive master equation for arbitrary driving and small level spacing

    quant-ph 2019-08 conditional novelty 7.0 of 10

    A time-dependent coarse-grained master equation is shown to be completely positive and to have controlled error bounds depending only on bath correlation time and decoherence timescale, not level spacing.

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