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Energy transport can be influenced by the presence of other conserved quantities. We consider here diffusive systems where energy and the other conserved quantities evolve macroscopically on the same diffusive space-time scale. In these…

Statistical Mechanics · Physics 2020-01-08 Stefano Olla

A quantum finite multi-barrier system, with a periodic potential, is considered and exact expressions for its plane wave amplitudes are obtained using the Transfer Matrix method [10]. This quantum model is then associated with a stochastic…

Statistical Mechanics · Physics 2019-06-26 Emilio N. M. Cirillo , Matteo Colangeli , Lamberto Rondoni

We derive quantum kinetic equations for fermions in a homogeneous time-dependent background in presence of decohering collisions, by use of the Schwinger-Keldysh CTP-formalism. The quantum coherence (between particles and antiparticles) is…

High Energy Physics - Phenomenology · Physics 2009-03-24 Matti Herranen , Kimmo Kainulainen , Pyry Matti Rahkila

We derive a path-integral Schwinger-Keldysh approach for quantum spin systems. This is achieved by means of a semionic representation of spins as fermions with imaginary chemical potential. The major simplifying feature in comparison with…

Strongly Correlated Electrons · Physics 2009-10-31 M. N. Kiselev , R. Oppermann

In this article, we present a concise and self-contained introduction to nonequilibrium statistical mechanics with quantum field theory by considering an ensemble of interacting identical bosons or fermions as an example. Readers are…

Statistical Mechanics · Physics 2014-11-20 Takafumi Kita

We consider a class of either fermionic or bosonic noninteracting open quantum chains driven by dissipative interactions at the boundaries and study the interplay of coherent transport and dissipative processes, such as bulk dephasing and…

Statistical Mechanics · Physics 2017-11-17 Federico Carollo , Juan P. Garrahan , Igor Lesanovsky , Carlos Pérez-Espigares

Quantum transport studies of spin-dependent phenomena in solids commonly employ the Kubo or Keldysh formulas for the nonequilibrium density operator in the steady-state linear-response regime. Its trace with operators of interest, such as…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Simao M. Joao , Marko D. Petrovic , J. M. Viana Parente Lopes , Aires Ferreira , Branislav K. Nikolic

This work brings together Keldysh non-equilibrium quantum theory and thermodynamics, by showing that a real-time diagrammatic technique is an equivalent of stochastic thermodynamics for non-Markovian quantum machines (heat engines,…

Mesoscale and Nanoscale Physics · Physics 2021-03-16 Robert S. Whitney

We investigate the thermodynamics of simple (non-interacting) transport models beyond the scope of weak coupling. For a single fermionic or bosonic level -- tunnel-coupled to two reservoirs -- exact expressions for the stationary matter and…

Statistical Mechanics · Physics 2015-07-20 Gabriel E. Topp , Tobias Brandes , Gernot Schaller

Operational quantum stochastic thermodynamics is a recently proposed theory to study the thermodynamics of open systems based on the rigorous notion of a quantum stochastic process or quantum causal model. In there, a stochastic trajectory…

Quantum Physics · Physics 2020-03-04 Philipp Strasberg

The motivation for this thesis is to find a fluctuating hydrodynamic description of quantum coherent effects in mesoscopic quantum systems with diffusive transport properties. Coherent effects are inscribed into the coherences (two-point…

Mathematical Physics · Physics 2024-08-08 Ludwig Hruza

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

A fully quantum mechanical description of the precessional damping of Pt/Co bilayer is presented in the framework of the Keldysh Green function approach using {\it ab initio} electronic structure calculations. In contrast to previous…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Farzad Mahfouzi , Jinwoong Kim , Nicholas Kioussis

We present exact solutions for the non-equilibrium steady states of a class of dissipative spinless fermionic systems with arbitrary Hamiltonian pairing terms, global charging energy interactions, and uniform single particle loss on every…

Quantum Physics · Physics 2026-05-12 Andrew Lingenfelter , Aashish A. Clerk

We investigate the non-Markovian quantum dynamics of a hybrid open system consisting of one qubit and one qutrit by employing a stochastic Schr\"{o}dinger equation to generate diffusive quantum trajectories. We have established an exact…

Quantum Physics · Physics 2011-11-09 Jun Jing , Ting Yu

Fluctuations are significant in mesoscopic systems and of particular importance in understanding quantum transport. Here, we show that fluctuations can be considered as a resource for the operations of open quantum systems as functional…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Jincheng Lu , Rongqian Wang , Chen Wang , Jian-Hua Jiang

Simulation of interacting electron systems is one of the great challenges of modern quantum chemistry and solid state physics. Controllable quantum systems offer the opportunity to create artificial structures which mimic the system of…

We present a detailed study of the real-time dynamics and spectral properties of the one-dimensional fermionic Hubbard model at infinite temperature. Using tensor network simulations in Liouville space, we compute the single-particle…

Strongly Correlated Electrons · Physics 2025-09-26 Cătălin Paşcu Moca , Ovidiu I. Patu , Balázs Dóra , Gergely Zaránd

We establish a comprehensive theoretical framework for systems subjected to a static uniform temperature gradient, employing the non-equilibrium Keldysh-Dyson formalism. This framework interprets the statistical force due to the temperature…

Mesoscale and Nanoscale Physics · Physics 2024-02-01 Luqman Saleem , Udo Schwingenschlogl , Aurelien Manchon

The theoretical investigation of charge (and spin) transport at nanometer length scales requires the use of advanced and powerful techniques able to deal with the dynamical properties of the relevant physical systems, to explicitly include…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. A. Ryndyk , R. Gutierrez , B. Song , G. Cuniberti