Time-dependent heat flow in interacting quantum conductors

Rosselló, Guillem; López, Rosa; Lim, Jong Soo

doi:10.1103/physrevb.92.115402

Cited by 16 publications

(22 citation statements)

References 44 publications

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“…• It shows perfect agreement between the Green function approach and the scattering matrix formalism [52]. • It displays parity symmetry upon reversal of the AC frequency even for interacting quantum conductors [79]. • It reduces to the conventional definition in the stationary case since the term J E cα (t)/2 vanishes after time averaging [53].…”

Section: Heat Current and Powermentioning

confidence: 76%

Periodic Energy Transport and Entropy Production in Quantum Electronics

Ludovico

Arrachea

Moskalets

et al. 2016

Entropy

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Abstract:The problem of time-dependent particle transport in quantum conductors is nowadays a well established topic. In contrast, the way in which energy and heat flow in mesoscopic systems subjected to dynamical drivings is a relatively new subject that cross-fertilize both fundamental developments of quantum thermodynamics and practical applications in nanoelectronics and quantum information. In this short review, we discuss from a thermodynamical perspective recent investigations on nonstationary heat and work generated in quantum systems, emphasizing open questions and unsolved issues.

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Section: Heat Current and Powermentioning

confidence: 76%

Periodic Energy Transport and Entropy Production in Quantum Electronics

Ludovico

Arrachea

Moskalets

et al. 2016

Entropy

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“…Finally, Ref. [46] shows that Eq. (42) leads to frequency-dependent heat current expressions that exhibit a proper parity property when the ac frequency is reversed.…”

Section: Instantaneous Heat Fluxes Through the Different Parts Of mentioning

confidence: 99%

Dynamics of energy transport and entropy production in ac-driven quantum electron systems

et al. 2016

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We analyze the time-resolved energy transport and the entropy production in ac-driven quantum coherent electron systems coupled to multiple reservoirs at finite temperature. At slow driving, we formulate the first and second laws of thermodynamics valid at each instant of time. We identify heat fluxes flowing through the different pieces of the device and emphasize the importance of the energy stored in the contact and central regions for the second law of thermodynamics to be instantaneously satisfied. In addition, we discuss conservative and dissipative contributions to the heat flux and to the entropy production as a function of time. We illustrate these ideas with a simple model corresponding to a driven level coupled to two reservoirs with different chemical potentials.

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“…A strictly related issue is the definition of heat current, namely the contribution to energy current which is irreversibly dissipated into the lead and that is consistent with the laws of thermodynamics. The bone of contention is the coupling energy term which needs to be assigned either to the system, or to the terminal, or be split among the two [22][23][24][25][26][27][28]. The debate about the definition of heat current, although interesting and very important, goes beyond the purpose of this work.…”

Section: Introductionmentioning

confidence: 99%

Study of the energy variation in many-body open quantum systems: Role of interactions in the weak and strong coupling regimes

Talarico¹,

Maniscalco²,

Gullo³

2020

Phys. Rev. B

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We derive an expression for the rate of change of the energy of an interacting many-body system connected to macroscopic leads. We show that the energy variation is the sum of contributions from each different lead. Unlike the charge current each of these contributions can differ from the rate of change of the energy of the lead. We demonstrate that the discrepancy between the two is due to the direct exchange of energy among the considered lead and all other leads. We conclude that the microscopic mechanism behind it is virtual processes via the interacting central region. We also speculate on what are the implications of our findings in the calculation of the thermal conductance of an interacting system.

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Time-dependent heat flow in interacting quantum conductors

Cited by 16 publications

References 44 publications

Periodic Energy Transport and Entropy Production in Quantum Electronics

Periodic Energy Transport and Entropy Production in Quantum Electronics

Dynamics of energy transport and entropy production in ac-driven quantum electron systems

Study of the energy variation in many-body open quantum systems: Role of interactions in the weak and strong coupling regimes

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