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We study the heat statistics of a quantum Brownian motion described by the Caldeira-Leggett model. By using the path integral approach, we introduce a novel concept of the quantum heat functional along every pair of Feynman paths. This…

统计力学 · 物理学 2018-07-18 Ken Funo , H. T. Quan

On the basis of the method of iterative summation of path integrals (ISPI), we develop a numerically exact transfer-matrix method to describe the nonequilibrium properties of interacting quantum-dot systems. For this, we map the ISPI scheme…

介观与纳米尺度物理 · 物理学 2022-11-01 Simon Mundinar , Alexander Hahn , Jürgen König , Alfred Hucht

Non-equilibrium transport properties of quantum systems have recently become experimentally accessible in a number of platforms in so-called full-counting experiments that measure transient and steady state non-equilibrium transport…

量子物理 · 物理学 2016-12-28 Javier Cerrillo , Maximilian Buser , Tobias Brandes

Work statistics characterizes important features of a non-equilibrium thermodynamic process. But the calculation of the work statistics in an arbitrary non-equilibrium process is usually a cumbersome task. In this work, we study the work…

统计力学 · 物理学 2020-03-18 Tian Qiu , Zhaoyu Fei , Rui Pan , H. T. Quan

Work belongs to the most basic notions in thermodynamics but it is not well understood in quantum systems, especially in open quantum systems. By introducing a novel concept of work functional along individual Feynman path, we invent a new…

统计力学 · 物理学 2018-07-30 Ken Funo , H. T. Quan

A method to calculate the statistics of energy exchange between quantum systems is presented. The generating function of this statistics is expressed through a Keldysh path integral. The method is first applied to the problem of heat…

介观与纳米尺度物理 · 物理学 2009-11-10 M. Kindermann , S. Pilgram

We present a numerically exact method to compute the full counting statistics of heat transfer in non-Markovian open quantum systems, which is based on the time-evolving matrix product operator (TEMPO) algorithm. This approach is applied to…

We establish the path integral approach for the time-dependent heat exchange of an externally driven quantum system coupled to a thermal reservoir. We derive the relevant influence functional and present an exact formal expression for the…

介观与纳米尺度物理 · 物理学 2015-05-20 M. Carrega , P. Solinas , A. Braggio , M. Sassetti , U. Weiss

We have developed a numerical approach to compute real-time path integral expressions for quantum transport problems out of equilibrium. The scheme is based on a deterministic iterative summation of the path integral (ISPI) for the…

介观与纳米尺度物理 · 物理学 2008-05-16 S. Weiss , J. Eckel , M. Thorwart , R. Egger

The modelling of quantum heat transfer processes at the nanoscale is crucial for the development of energy harvesting and molecular electronics devices. Herein, we adopt a mixed quantum-classical description of a device, in which the open…

化学物理 · 物理学 2018-12-12 Junjie Liu , Chang-Yu Hsieh , Dvira Segal , Gabriel Hanna

We formulate a full-counting statistics description to study energy exchange in multi-terminal junctions. Our approach applies to quantum systems that are coupled either additively or non-additively (cooperatively) to multiple reservoirs.…

介观与纳米尺度物理 · 物理学 2018-08-29 Hava Meira Friedman , Bijay Kumar Agarwalla , Dvira Segal

The transport of conserved quantities like spin and charge is fundamental to characterizing the behavior of quantum many-body systems. Numerically simulating such dynamics is generically challenging, which motivates the consideration of…

量子物理 · 物理学 2024-12-04 I-Chi Chen , Klée Pollock , Yong-Xin Yao , Peter P. Orth , Thomas Iadecola

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…

量子物理 · 物理学 2026-02-25 Guglielmo Pellitteri , Vittorio Giovannetti , Vasco Cavina

In this work, we propose a path integral-inspired formalism for computing the quantum thermal expectation values of spin systems, when subject to magnetic fields that can be time-dependent and can accommodate the presence of Heisenberg…

量子物理 · 物理学 2025-06-18 Thomas Nussle , Stam Nicolis , Iason Sofos , Joseph Barker

We formulate and apply a nonperturbative numerical approach to the nonequilibrium current, $I(V)$, through a voltage-biased molecular conductor. We focus on a single electronic level coupled to an unequilibrated vibration mode…

介观与纳米尺度物理 · 物理学 2012-03-20 R. Hützen , S. Weiss , M. Thorwart , R. Egger

Full-counting statistics (FCS) provides a powerful framework to access the statistical information of a system from the characteristic function. However, applications of FCS for generic interacting quantum systems often be hindered by the…

量子物理 · 物理学 2024-01-25 Yun-Zhuo Fan , Dan-Bo Zhang

Quantum thermal transport and two-photon statistics serve as two representative nonequilibrium features in circuit quantum electrodynamics systems. Here, we investigate quantum heat flow and two-photon correlation function at steady-state…

量子物理 · 物理学 2021-09-07 Zhe-Huan Chen , Han-Xin Che , Zhe-Kai Chen , Chen Wang , Jie Ren

We have developed a numerically exact approach to compute real-time path integral expressions for quantum transport problems out of equilibrium. The scheme is based on a deterministic iterative summation of the path integral (ISPI) for the…

介观与纳米尺度物理 · 物理学 2015-06-15 S. Weiss , R. Hützen , D. Becker , J. Eckel , R. Egger , M. Thorwart

We introduce a numerical tensor-network method to compute the statistics of the charge transferred across an interface partitioning an interacting one-dimensional many-body lattice system with $U(1)$ symmetry. Our approach is based on a…

量子物理 · 物理学 2026-04-01 Hari Kumar Yadalam , Mark T. Mitchison

Using a generalized Langevin equation of motion, quantum ballistic thermal transport is obtained from classical molecular dynamics. This is possible because the heat baths are represented by random noises obeying quantum Bose-Einstein…

统计力学 · 物理学 2007-10-16 Jian-Sheng Wang
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