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When driven by a potential bias between two finite reservoirs, the particle current across a quantum system evolves from an initial loading through a coherent, followed by a metastable phase, and ultimately fades away upon equilibration. We…

We consider time dynamics of entanglement entropy between a filled fermionic system and an empty reservoir. We consider scenarios (i) where the system is subjected to a dephasing mechanism and the reservoir is clean, thereby emulating…

Statistical Mechanics · Physics 2025-01-22 Katha Ganguly , Preethi Gopalakrishnan , Atharva Naik , Bijay Kumar Agarwalla , Manas Kulkarni

The general theory of simple transport processes between quantum mechanical reservoirs is reviewed and extended. We focus on thermoelectric phenomena, involving exchange of energy and particles. Entropy production and Onsager relations are…

Mathematical Physics · Physics 2007-05-23 Juerg Froehlich , Marco Merkli , Daniel Ueltschi

We consider a quantum particle coupled (with strength $\la$) to a spatial array of independent non-interacting reservoirs in thermal states (heat baths). Under the assumption that the reservoir correlations decay exponentially in time, we…

Mathematical Physics · Physics 2015-05-13 W. De Roeck , J. Frohlich , A. Pizzo

Calorimetric measurements are experimentally realizable methods to assess thermodynamics relations in quantum devices. With this motivation in mind, we consider a resonant level coupled to a Fermion reservoir. We consider a transient…

Statistical Mechanics · Physics 2020-12-30 Brecht Donvil , Dmitry Golubev , Paolo Muratore-Ginanneschi

A simple decay model is introduced. The model comprises of a point potential well, which experiences an abrupt change. Due to the temporal variation the initial quantum state can either escape from the well or stay localized as a new bound…

Quantum Physics · Physics 2009-11-13 Avi Marchewka , Er'el Granot

One-dimensional reaction-diffusion systems are mapped through a similarity transformation onto integrable (and a priori non-stochastic) quantum chains. Time-dependent properties of these chemical models can then be found exactly. The…

Statistical Mechanics · Physics 2009-10-28 Malte Henkel , Enzo Orlandini , Jaime Santos

A quantum-mechanical framework is set up to describe the full counting statistics of particles flowing between reservoirs in an open system under time-dependent driving. A symmetry relation is obtained which is the consequence of…

Statistical Mechanics · Physics 2013-07-15 David Andrieux , Pierre Gaspard , Takaaki Monnai , Shuichi Tasaki

We study particle current in a recently proposed model for coherent quantum transport. In this model a system connected to mesoscopic Fermi reservoirs (meso-reservoir) is driven out of equilibrium by the action of super reservoirs…

Statistical Mechanics · Physics 2013-01-01 S. Ajisaka , F. Barra , C. Mejia-Monasterio , T. Prosen

We present a systematic theory of dissipation in finite Fermi systems like nuclei and metallic clusters. This theory is based on the application of semiclassical methods and random matrix theory to linear response of many-body systems. The…

Nuclear Theory · Physics 2009-10-31 Sudhir R. Jain

We study the spread of a quantum-mechanical wavepacket in a noisy environment, modeled using a tight-binding Hamiltonian. Despite the coherent dynamics, the fluctuating environment may give rise to diffusive behavior. When correlations…

Statistical Mechanics · Physics 2019-07-29 Nisarga Paul , Ariel Amir

We study the transport properties of generic out-of-equilibrium quantum systems connected to fermionic reservoirs. We develop a new method, based on an expansion of the current in terms of the inverse system size and out of equilibrium…

Statistical Mechanics · Physics 2022-06-28 Tony Jin , João S. Ferreira , Michele Filippone , Thierry Giamarchi

We study time-dependent heat transport in systems composed of a resonant level periodically forced with an external power source and coupled to a fermionic continuum. This simple model contains the basic ingredients to understand time…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 Maria Florencia Ludovico , Jong Soo Lim , Michael Moskalets , Liliana Arrachea , David Sanchez

We introduce an efficient method to simulate dynamics of an interacting quantum impurity coupled to non-interacting fermionic reservoirs. Viewing the impurity as an open quantum system, we describe the reservoirs by their Feynman-Vernon…

Strongly Correlated Electrons · Physics 2023-06-07 Julian Thoenniss , Michael Sonner , Alessio Lerose , Dmitry A. Abanin

We construct and explore a family of states for quantum systems in contact with two or more heath reservoirs. The reservoirs are described by equilibrium distributions. The interaction of each reservoir with the bulk of the system is…

Statistical Mechanics · Physics 2022-05-03 Mihail Mintchev

Open quantum systems, when driven by a periodic field, can relax to effective statistical ensembles that resemble their equilibrium counterparts. We consider a class of problems in which a periodically- driven quantum system is allowed to…

Statistical Mechanics · Physics 2015-05-27 Thomas Iadecola , Claudio Chamon

We consider a discrete-time non-Hamiltonian dynamics of a quantum system consisting of a finite sample locally coupled to several bi-infinite reservoirs of fermions with a translation symmetry. In this setup, we compute the asymptotic…

Mathematical Physics · Physics 2022-09-21 Simon Andréys , Alain Joye , Renaud Raquépas

When an extended system is coupled at its opposite boundaries to two reservoirs at different temperatures or chemical potentials, it cannot achieve a global thermal equilibrium and is instead driven to a set of current-carrying…

Statistical Mechanics · Physics 2019-04-30 Michael J. Gullans , David A. Huse

We investigate a long time asymptotic state of periodically driven open quantum systems analytically. The model we consider in this paper is a free fermionic system coupled to an energy and particle reservoir. We clarify some generic…

Statistical Mechanics · Physics 2016-11-14 Koudai Iwahori , Norio Kawakami

Nanotechnology has not only provided us the possibility of developing quantum machines but also noncanonical power sources able to drive them. Here we focus on studying the performance of quantum machines driven by arbitrary combinations of…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Sebastian E. Deghi , Raúl A. Bustos-Marún
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