Duality in quantum transport models

• URL: http://arxiv.org/abs/2008.03476v2
• Date: Wed, 30 Dec 2020 09:35:58 GMT
• Title: Duality in quantum transport models
• Authors: Rouven Frassek, Cristian Giardin\`a, Jorge Kurchan
• Abstract summary: We develop the duality approach', that has been extensively studied for classical models of transport. We show that any dynamic process of this kind with generic baths may be mapped onto one with equilibrium baths.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We develop the `duality approach', that has been extensively studied for classical models of transport, for quantum systems in contact with a thermal `Lindbladian' bath. The method provides (a) a mapping of the original model to a simpler one, containing only a few particles and (b) shows that any dynamic process of this kind with generic baths may be mapped onto one with equilibrium baths. We exemplify this through the study of a particular model: the quantum symmetric exclusion process introduced in [D. Bernard, T. Jin, Phys. Rev. Lett. 123, 080601 (2019)]. As in the classical case, the whole construction becomes intelligible by considering the dynamical symmetries of the problem.

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