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Article Dans Une Revue SciPost Physics Année : 2021

Duality in quantum transport models

Résumé

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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hal-02981263 , version 1 (27-10-2020)

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Rouven Frassek, Cristian Giardinà, Jorge Kurchan. Duality in quantum transport models. SciPost Physics, 2021, 10 (6), pp.135. ⟨10.21468/SciPostPhys.10.6.135⟩. ⟨hal-02981263⟩
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