Unified diagrammatic approach to quantum transport in few-level junctions for bosonic and fermionic reservoirs: Application to the quantum Rabi model

Magazzu, Luca and Paladino, Elisabetta and Grifoni, Milena (2024) Unified diagrammatic approach to quantum transport in few-level junctions for bosonic and fermionic reservoirs: Application to the quantum Rabi model. PHYSICAL REVIEW B, 110 (8): 085419. ISSN 2469-9950, 2469-9969

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Abstract

We apply the Nakajima-Zwanzig approach to open quantum systems to study steady-state transport across generic multilevel junctions coupled to bosonic or fermionic reservoirs. The method allows for a unified diagrammatic formulation in Liouville space, with diagrams being classified according to an expansion in the coupling strength between the reservoirs and the junction. Analytical, approximate expressions are provided up to the fourth order for the steady-state boson transport that generalizes to multilevel systems the known results for the low-temperature thermal conductance in the spin-boson model. The formalism is applied to the problem of heat transport in a qubit-resonator junction modeled by the quantum Rabi model. Nontrivial transport features emerge as a result of the interplay between the qubit-oscillator detuning and coupling strength. For quasidegenerate spectra, nonvanishing steady-state coherences cause a suppression of the thermal conductance.

Item Type: Article
Uncontrolled Keywords: CUMULANT EXPANSION; MASTER EQUATION;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group Milena Grifoni
Depositing User: Dr. Gernot Deinzer
Date Deposited: 03 Sep 2025 09:42
Last Modified: 03 Sep 2025 09:42
URI: https://pred.uni-regensburg.de/id/eprint/64276

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