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The unique fluctuation-dissipation theorem for equilibrium stands in contrast with the wide variety of nonequilibrium linear response formulae. Their most traditional approach is "analytic", which, in the absence of detailed balance,…

Statistical Mechanics · Physics 2013-01-21 Marco Baiesi , Christian Maes

The characterization of quantum critical phenomena is pivotal for the understanding and harnessing of quantum many-body physics. However, their complexity makes the inference of such fundamental processes difficult. Thus, efficient and…

Quantum Physics · Physics 2022-04-27 Ricardo Puebla , Alessio Belenchia , Giulio Gasbarri , Eric Lutz , Mauro Paternostro

The collective and purely relaxational dynamics of quantum many-body systems after a quench at temperature $T=0$, from a disordered state to various phases is studied through the exact solution of the quantum Langevin equation of the…

Statistical Mechanics · Physics 2021-11-01 Sascha Wald , Malte Henkel , Andrea Gambassi

Describing open quantum systems in terms of effective non-Hermitian Hamiltonians gives rise to non-unitary time evolution. In this paper, we study the impact of non-unitary dynamics on the emergent hydrodynamics in quantum systems with a…

Statistical Mechanics · Physics 2024-10-10 Dylan E. Mahoney , Jonas Richter

Linear response theory and Green's functions provide a universal framework for understanding dynamical correlations in strongly correlated open quantum systems. While the theoretical foundation for non-Hermitian linear response has been…

Quantum Physics · Physics 2026-03-31 Jeongbin Jo

Understanding how systems respond to external perturbations is fundamental to statistical physics. For systems far from equilibrium, a general framework for response remains elusive. While progress has been made on the linear response of…

Statistical Mechanics · Physics 2026-03-04 Ruicheng Bao , Shiling Liang

We present a quantum algorithm to obtain the response of the atomic nucleus to a small external electromagnetic perturbation. The Hamiltonian of the system is presented by a harmonic oscillator, and the linear combination of unitaries (LCU)…

Quantum Physics · Physics 2022-10-18 Abhishek , Nifeeya Singh , Pooja Siwach , P. Arumugam

Experimental progress in atomic, molecular, and optical platforms in the last decade has stimulated strong and broad interest in the quantum coherent dynamics of many long-range interacting particles. The prominent collective character of…

Quantum Gases · Physics 2024-05-30 Nicolò Defenu , Alessio Lerose , Silvia Pappalardi

We present a model independent, operator algebraic approach to non-equilibrium quantum thermodynamics within the framework of two-dimensional Conformal Field Theory. Two infinite reservoirs in equilibrium at their own temperatures and…

High Energy Physics - Theory · Physics 2017-09-13 Stefan Hollands , Roberto Longo

Advances in controlling and measuring systems of ultra-cold atoms provided strong motivation to theoretical investigations of quantum dynamics in closed many-body systems. Fundamental questions on quantum dynamics and statistical mechanics…

Quantum Gases · Physics 2015-12-04 Ehud Altman

We prove that quantum many-body systems on a one-dimensional lattice locally relax to Gaussian states under non-equilibrium dynamics generated by a bosonic quadratic Hamiltonian. This is true for a large class of initial states - pure or…

Quantum Physics · Physics 2015-05-14 M. Cramer , J. Eisert

Equilibrium is a rather ideal situation, the exception rather than the rule in Nature. Whenever the external or internal parameters of a physical system are varied its subsequent relaxation to equilibrium may be either impossible or take…

Statistical Mechanics · Physics 2016-10-04 Leticia F. Cugliandolo

In this review, we study some aspects of the non-equilibrium dynamics of quantum systems. In particular, we consider the effect of varying a parameter in the Hamiltonian of a quantum system which takes it across a quantum critical point or…

Statistical Mechanics · Physics 2015-05-14 Shreyoshi Mondal , Diptiman Sen , K. Sengupta

Ever since the insight spreaded that tailored dissipation can be employed to control quantum systems and drive them towards pure states, the field of non-equilibrium quantum mechanics gained remarkable momentum. So far research focussed on…

Quantum Physics · Physics 2015-07-31 Nicolai Lang , Hans Peter Büchler

We study the dynamics of a complex open quantum many-body system. The coupling to external degrees of freedom can be viewed as a coupling to a radiation field, to continuum states or to a measuring apparatus. This perturbation is treated in…

Quantum Physics · Physics 2009-11-10 Alexander Volya , Vladimir Zelevinsky

The task of testing whether quantum theory applies to all physical systems and all scales requires considering situations where a quantum probe interacts with another system that need not obey quantum theory in full. Important examples…

Quantum Physics · Physics 2020-03-04 Gaurav Bhole , Jonathan A. Jones , Chiara Marletto , Vlatko Vedral

Quantum collision models allow for the dynamics of open quantum systems to be described by breaking the environment into small segments, typically consisting of non-interacting harmonic oscillators or two-level systems. This work introduces…

Quantum Physics · Physics 2025-10-10 Anton Corr , Stefano Cusumano , Gabriele De Chiara

The physics of many closed, conservative systems can be described by both classical and quantum theories. The dynamics according to classical theory is symplectic and admits linear instabilities which would initially seem at odds with a…

Quantum Physics · Physics 2024-01-08 Michael Q. May , Hong Qin

We present an overview of our studies on the nonequilibrium dynamics of quantum systems that have many interacting particles. Our emphasis is on systems that show strong level repulsion, referred to as chaotic systems. We discuss how full…

Statistical Mechanics · Physics 2019-05-01 Lea F. Santos , E. J. Torres-Herrera

We analyze the behavior of a network of quantum oscillators coupled with a number of external environments. We show that the dynamics is such that the quantum state of the network always obeys a local master equation with a simple…

Quantum Physics · Physics 2015-06-05 Esteban A. Martinez , Juan Pablo Paz