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Heat transfer in quantum systems is a current topic of interest due to emerging quantum technologies that attempt to miniaturize engines and examine fundamental aspects of thermodynamics. In this work, we consider heat transfer between two…

Quantum Physics · Physics 2025-06-26 Marlon Brenes , Jakub Garwoła , Dvira Segal

The superconducting reservoir effect on the current carrying transport of a double quantum dot in Markovian regime is investigated. For this purpose, a quantum master equation (QME) at finite temperature is derived for the many-body density…

Superconductivity · Physics 2019-06-13 E. Afsaneh , H. Yavari

We build an exact framework to evaluate heat, energy, and particle transport between Gaussian reservoirs mediated by a quadratic quantum system. By combining full counting statistics with newly developed non-Markovian master equation…

Quantum Physics · Physics 2026-02-25 Guglielmo Pellitteri , Vittorio Giovannetti , Vasco Cavina

Master equations are increasingly popular for the simulation of time-dependent electronic transport in nanoscale devices. Several recent Markovian approaches use "extended reservoirs" - explicit degrees of freedom associated with the…

Mesoscale and Nanoscale Physics · Physics 2017-10-20 Justin E. Elenewski , Daniel Gruss , Michael Zwolak

We consider a two level system coupled to a thermal bath and we investigate the variation of energy transferred to the reservoir as a function of time. The physical quantity under investigation is the time-dependent quantum average power.…

Mesoscale and Nanoscale Physics · Physics 2016-06-24 Matteo Carrega , Paolo Solinas , Alessandro Braggio , Maura Sassetti

A pure-dephasing reservoir acting on an individual quantum system induces loss of coherence without energy exchange. When acting on composite quantum systems, dephasing reservoirs can lead to a radically different behavior. Transport of…

Quantum Physics · Physics 2015-02-03 T. Werlang , D. Valente

In this review article, we present a non-equilibrium quantum transport theory for transient electron dynamics in nanodevices based on exact master equation derived with the path integral method in the fermion coherent-state representation.…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 Pei-Yun Yang , Wei-Min Zhang

Controlling phase transitions in quantum systems via coupling to reservoirs has been mostly studied for idealized memory-less environments under the so-called Markov approximation. Yet, most quantum materials and experiments in the solid…

Quantum Physics · Physics 2024-10-11 Baptiste Debecker , John Martin , François Damanet

Ongoing experimental activity aims at calorimetric measurements of thermodynamic indicators of quantum integrated systems. We study a model of a driven qubit in contact with a finite-size thermal electron reservoir. The temperature of the…

Quantum Physics · Physics 2019-05-08 Brecht Donvil , Paolo Muratore-Ginanneschi , Jukka P. Pekola

The coherent energy transfer between two identical two-level systems is investigated. Here, the first quantum system plays the role of a charger, while the second can be seen as a quantum battery. Firstly, a direct energy transfer between…

Quantum Physics · Physics 2023-05-10 Alba Crescente , Dario Ferraro , Matteo Carrega , Maura Sassetti

We present a detailed microscopic derivation for a non-Markovian master equation for a driven two-state system interacting with a general structured reservoir. The master equation is derived using the time-convolutionless projection…

Quantum Physics · Physics 2015-05-14 Pinja Haikka

Accurately characterizing the properties of structured reservoirs is a key challenge in quantum systems and is of great importance for advances in quantum metrology and sensing. In this work, we employ a two-level system (qubit) as a probe,…

In this paper we investigate the non-Markovian dynamics of a qubit by comparing two generalized master equations with memory. In the case of a thermal bath, we derive the solution of the post-Markovian master equation recently proposed in…

Quantum Physics · Physics 2009-11-11 Sabrina Maniscalco , Francesco Petruccione

We recently proposed effective normal modes for excitonically coupled aggregates which exactly transform the energy transfer Hamiltonian into a sum of one-dimensional Hamiltonians along the effective normal modes. Identifying physically…

Chemical Physics · Physics 2022-05-25 Sanjoy Patra , Vivek Tiwari

We report on the derivation of the heat transport equation for nonmetals using a quantum Markovian master equation in Lindblad form. We first establish the equations of motion describing the time variation of the on-site energy of atoms in…

Quantum Physics · Physics 2021-12-30 Yamen Hamdouni

We consider two recently proposed measures of non-Markovianity applied to a particular quantum process describing the dynamics of a driven qubit in a structured reservoir. The motivation of this study is twofold: on one hand, we study the…

Quantum Physics · Physics 2015-05-20 Pinja Haikka , James. D. Cresser , Sabrina Maniscalco

Nonequilibrium energy transport serves as one of fundamental problems in quantum thermodynamics and quantum technologies. Driven quantum master equation in the dressed picture provides an efficient way of investigating nonequilibrium energy…

Quantum Physics · Physics 2026-04-01 Junran Kong , Yuwei Lu , Huan Liu , Liwei Duan , Chen Wang

We study coherent transport through a double quantum dot. Its two electronic leads induce electronic matter and energy transport and a phonon reservoir contributes further energy exchanges. By treating the system-lead couplings…

Statistical Mechanics · Physics 2015-04-07 Thilo Krause , Tobias Brandes , Massimiliano Esposito , Gernot Schaller

Relying on an exact time evolution scheme, we identify a novel transient energy transfer phe- nomenon in an exactly-solvable quantum microscopic model consisting of a three-level system coupled to two non-Markovian zero-temperature bosonic…

Quantum Physics · Physics 2016-10-21 Jun Jing , Dvira Segal , Baowen Li , Lian-Ao Wu

We present a derivation of Markovian master equation for the out of equilibrium quantum dot connected to two superconducting reservoirs, which are described by the Bogoliubov-de Gennes Hamiltonians and have the chemical potentials, the…

Superconductivity · Physics 2015-06-05 Daniel S. Kosov , Tomaž Prosen , Bojan Žunkovič
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