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We consider heat transport through systems with broken time-reversal symmetry. We apply strong magnetic fields to weakly charged particle systems, where the dynamics are dominated by the Lorentz force and spring forces. The standard…

Statistical Mechanics · Physics 2017-09-20 Shuji Tamaki , Makiko Sasada , Keiji Saito

The theory of Nonequilibrium Green functions (NEGF) has seen a rapid development over the recent three decades. Applications include diverse correlated many-body systems in and out of equilibrium. Very good agreement with experiments and…

Strongly Correlated Electrons · Physics 2026-04-02 Michael Bonitz , Jan-Philip Joost , Christopher Makait , Erik Schroedter , Tim Karsberger , Karsten Balzer

Describing open quantum systems far from equilibrium is challenging, in particular when the environment is mesoscopic, when it develops nonequilibrium features during the evolution, or when the memory effects cannot be disregarded. Here, we…

Quantum Physics · Physics 2021-03-17 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

We suggest a generalisation of the expression of the nonequilibrium density matrix obtained by Hershfield's method for the cases where both heat and charge steady state currents are present in a quantum open system. The finite-size quantum…

Mesoscale and Nanoscale Physics · Physics 2014-12-15 H. Ness

By solving the exact master equation of open quantum systems, we formulate the quantum thermodynamics from weak to strong couplings. The open quantum systems exchange matters, energies and information with their reservoirs through quantum…

Quantum Physics · Physics 2022-06-07 Wei-Ming Huang , Wei-Min Zhang

We study solutions to the quantum trajectory evolution of $N$-mode open quantum systems possessing a time-independent Hamiltonian, linear Heisenberg-picture dynamics, and Gaussian measurement noise. In terms of the mode annihilation and…

Quantum Physics · Physics 2020-10-21 P. Warszawski , H. M. Wiseman , A. C. Doherty

We derive rigorous quantum mechanical bounds for the heat current through a nanojunction connecting two thermal baths at different temperatures. Based on exact sum rules, these bounds compliment the well-known quantum of thermal conductance…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Edward Taylor , Dvira Segal

A general approach for transitionless quantum driving in open quantum systems is introduced. Under the assumption of adiabatic evolution for time-local master equations, we derive the generalized transitionless Lindbladian required to…

Quantum Physics · Physics 2021-12-16 Alan C. Santos , Marcelo S. Sarandy

Nonlinear time-dependent partial differential equations are essential in modeling complex phenomena across diverse fields, yet they pose significant challenges due to their computational complexity, especially in higher dimensions. This…

Machine Learning · Computer Science 2025-02-20 Yuan Chen , Abdul Khaliq , Khaled M. Furati

This is a review of recent research exploring and extending present-day quantum computing capabilities for fusion energy science applications. We begin with a brief tutorial on both ideal and open quantum dynamics, universal quantum…

Quantum Physics · Physics 2023-02-28 I. Joseph , Y. Shi , M. D. Porter , A. R. Castelli , V. I. Geyko , F. R. Graziani , S. B. Libby , J. L. DuBois

Non-adiabatic molecular phenomena, arising from the breakdown of the Born-Oppenheimer approximation, govern the fate of virtually all photo-physical and photochemical processes and limit the quantum efficiency of molecules and other…

Quantum Physics · Physics 2024-05-15 N. S. Bassler , M. Reitz , R. Holzinger , A. Vibók , G. J. Halász , B. Gurlek , C. Genes

We consider a quantum system in contact with a heat bath consisting in an infinite chain of identical sub-systems at thermal equilibrium at inverse temperature $\beta$. The time evolution is discrete and such that over each time step of…

Mathematical Physics · Physics 2007-05-23 Stephane Attal , Alain Joye

We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths beyond perturbation theory. Our approach is based on the exact time-local quantum master equation for the reduced open…

Quantum Physics · Physics 2022-05-31 Alessandra Colla , Heinz-Peter Breuer

Quantum annealing is a promising algorithm for solving combinatorial optimization problems. It searches for the ground state of the Ising model, which corresponds to the optimal solution of a given combinatorial optimization problem. The…

Statistical Mechanics · Physics 2026-02-25 Tomohiro Hattori , Shu Tanaka

In this chapter we address the topic of quantum thermodynamics in the presence of additional observables beyond the energy of the system. In particular we discuss the special role that the generalized Gibbs ensemble plays in this theory,…

Quantum Physics · Physics 2019-05-01 Erick Hinds Mingo , Yelena Guryanova , Philippe Faist , David Jennings

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we study the continuous variable entanglement for a system consisting of two independent harmonic oscillators interacting with a…

Quantum Physics · Physics 2009-12-31 Aurelian Isar

The increasing scale and nonlinearity of modern energy and power system problems pose significant challenges to classical numerical solvers. In parallel, advances in quantum and quantum-inspired hardware are expected to improve scalability…

Emerging Technologies · Computer Science 2026-04-28 Zeynab Kaseb , Matthias Moller , Peter Palensky , Pedro P. Vergara

The rising energy production costs and the increasing reliance on volatile renewable sources have driven the need for more efficient power system redispatch strategies. In this work, we re-interpret the redispatch problem as a…

Quantum annealing has shown significant potential as an approach to near-term quantum computing. Despite promising progress towards obtaining a quantum speedup, quantum annealers are limited by the need to embed problem instances within the…

Data Structures and Algorithms · Computer Science 2018-07-31 Alastair A. Abbott , Cristian S. Calude , Michael J. Dinneen , Richard Hua

In this work we present an effective Hamiltonian description of the quantum dynamics of a generalized Lambda system undergoing adiabatic evolution. We assume the system to be initialized in the dark subspace and show that its holonomic…

Quantum Physics · Physics 2020-04-08 V. O. Shkolnikov , Guido Burkard