Duality in quantum transport models
Rouven Frassek, Cristian Giardinà, Jorge Kurchan
SciPost Phys. 10, 135 (2021) · published 8 June 2021
- doi: 10.21468/SciPostPhys.10.6.135
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.
Cited by 4
Bernard et al., Dynamics of fluctuations in quantum simple exclusion processes
SciPost Phys. 12, 042 (2022) [Crossref]
Turkeshi et al., Measurement-induced entanglement transitions in the quantum Ising chain: From infinite to zero clicks
Phys. Rev. B 103, 224210 (2021) [Crossref]
Bernard, Can the macroscopic fluctuation theory be quantized?
J. Phys. A: Math. Theor. 54, 433001 (2021) [Crossref]
Bernard et al., Entanglement distribution in the quantum symmetric simple exclusion process
Phys. Rev. E 104, 014146 (2021) [Crossref]
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Rouven Frassek,
- 2 Cristian Giardina,
- 1 Jorge Kurchan
- 1 École Normale Supérieure [ENS]
- 2 Università degli Studi di Modena e Reggio Emilia / University of Modena and Reggio Emilia