Many-body open quantum systems beyond Lindblad master equations
TL;DR: In this paper, an implementation of the Redfield master equation using matrix product states and operators is presented, which allows us to explore parameter regimes of the many-body quantum system and the environment which could not be probed with previous approaches based on local Lindblad master equations.
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Abstract: Many-body quantum systems present a rich phenomenology which can be significantly altered when they are in contact with an environment. In order to study such setups, a number of approximations are usually performed, either concerning the system, the environment, or both. A typical approach for large quantum interacting systems is to use master equations which are local, Markovian, and in Lindblad form. Here, we present an implementation of the Redfield master equation using matrix product states and operators. We show that this allows us to explore parameter regimes of the many-body quantum system and the environment which could not be probed with previous approaches based on local Lindblad master equations. We also show the validity of our results by comparing with the numerical exact thermofield-based chain-mapping approach.
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Citations
Finite-temperature transport in one-dimensional quantum lattice models
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TL;DR: A comprehensive review of boundary-driven open quantum systems can be found in this article , where a review of state-of-the-art analytical and numerical methods, both exact, perturbative and approximate, are presented.
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Many-body quantum thermal machines.
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TL;DR: In this article, a short review of the recent developments on technologies based on many-body quantum systems is presented, which mainly focus on manybody effects in quantum thermal machines and briefly address the role played by manybody systems in the development of quantum batteries and quantum probes.
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Lindbladian approximation beyond ultraweak coupling.
TL;DR: In this paper, an alternative Lindbladian approximation to the Redfield equation, which does not rely on ultra-weak system-bath coupling, is presented, and applied to an extended Hubbard model coupled to Ohmic baths.
34
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