Periodically refreshed baths to simulate open quantum many-body dynamics

• URL: http://arxiv.org/abs/2012.10236v3
• Date: Sun, 4 Jul 2021 16:34:20 GMT
• Title: Periodically refreshed baths to simulate open quantum many-body dynamics
• Authors: Archak Purkayastha, Giacomo Guarnieri, Steve Campbell, Javier Prior, John Goold
• Abstract summary: We show how finite-time evolution in presence of finite-sized baths can be used to faithfully reconstruct the exact dynamics without requiring any small parameter. We specifically demonstrate this by obtaining the full numerically exact non-Markovian dynamics of interacting fermionic chains in two terminal set-ups with finite temperature and voltage biases.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Obtaining dynamics of an interacting quantum many-body system connected to multiple baths initially at different, finite, temperatures and chemical potentials is a challenging problem. This is due to a combination of the prevalence of strong correlations in the system, the infinite nature of the baths and the long time to reach steady state. In this work we develop a general formalism that allows access to the full non-Markovian dynamics of such open quantum many-body systems up to the non-equilibrium steady state (NESS), provided its uniqueness. Specifically, we show how finite-time evolution in presence of finite-sized baths, whose opportune size is determined by their original spectral density, can be recursively used to faithfully reconstruct the exact dynamics without requiring any small parameter. Such a reconstruction is possible even in parameter regimes which would otherwise be inaccessible by current state-of-the-art techniques. We specifically demonstrate this by obtaining the full numerically exact non-Markovian dynamics of interacting fermionic chains in two terminal set-ups with finite temperature and voltage biases, a problem which previously remained outstanding despite its relevance in a wide range of contexts, for example, quantum heat engines and refrigerators.

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