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The observable properties of topological quantum matter are often described by topological field theories. We here demonstrate that this principle extends beyond thermal equilibrium. To this end, we construct a model of two-dimensional…

Statistical Mechanics · Physics 2020-07-01 Federico Tonielli , Jan Carl Budich , Alexander Altland , Sebastian Diehl

A system of chromodynamic fields, which can be treated as classical, is generated at the earliest stage of relativistic heavy-ion collisions. Numerical simulations show that the system is unstable but the nature of the instability is not…

High Energy Physics - Phenomenology · Physics 2022-08-19 Sylwia Bazak , Stanislaw Mrowczynski

In terms of the de Broglie-Bohm pilot-wave formulation of quantum theory, we develop field-theoretical models of quantum nonequilibrium systems which could exist today as relics from the very early universe. We consider relic excited states…

High Energy Physics - Theory · Physics 2015-10-12 Nicolas G. Underwood , Antony Valentini

We study the problem of a quantum quench in which the initial state is the ground state of an inhomogeneous hamiltonian, in two different models, conformal field theory and ordinary free field theory, which are known to exhibit…

Statistical Mechanics · Physics 2018-08-28 Spyros Sotiriadis , John Cardy

We describe some general results that constrain the dynamical fluctuations that can occur in non-equilibrium steady states, with a focus on molecular dynamics. That is, we consider Hamiltonian systems, coupled to external heat baths, and…

Statistical Mechanics · Physics 2017-11-22 Robert L. Jack , Marcus Kaiser , Johannes Zimmer

The self-energy functional theory (SFT) is generalized to describe the real-time dynamics of correlated lattice-fermion models far from thermal equilibrium. This is achieved by means of a reformulation of the original equilibrium theory in…

Strongly Correlated Electrons · Physics 2013-10-21 Felix Hofmann , Martin Eckstein , Enrico Arrigoni , Michael Potthoff

As the quantification of metabolism, nonequilibrium steady states play a central role in living matter, but are beyond the purview of equilibrium statistical mechanics. Here we develop a fermionic theory of nonequilibrium steady states in…

Statistical Mechanics · Physics 2024-04-24 Eric De Giuli , Masanari Shimada

Under the action of coherent periodic driving a generic quantum system will undergo Floquet heating and continously absorb energy until it reaches a featureless thermal state. The phase-space constraints induced by certain symmetries can,…

Strongly Correlated Electrons · Physics 2021-02-03 Joseph Tindall , Frank Schlawin , Michael A. Sentef , Dieter Jaksch

Although nonequilibrium work and fluctuation relations have been studied in detail within classical statistical physics, extending these results to open quantum systems has proven to be conceptually difficult. For systems that undergo…

We study three prominent diagnostics of chaos and scrambling in the context of two-dimensional conformal field theory: the spectral form factor, out-of-time-ordered correlators, and unitary operator entanglement. With the observation that…

High Energy Physics - Theory · Physics 2020-06-19 Jonah Kudler-Flam , Laimei Nie , Shinsei Ryu

Bipartite entanglement entropy is one of the most useful characterizations of universal properties in a many-body quantum system. Far from equilibrium, there exist two highly effective theories describing its dynamics -- the quasiparticle…

Statistical Mechanics · Physics 2025-08-20 Shachar Fraenkel , Colin Rylands

A brief review is given of a new method for studying the critical behavior of quantum impurity problems, based on conformal field theory techniques, which I developed with Andreas Ludwig. Some results on the overscreened Kondo problem are…

Condensed Matter · Physics 2008-02-03 Ian Affleck

Calculations of nonequilibrium processes become increasingly feasable in quantum field theory from first principles. There has been important progress in our analytical understanding based on 2PI generating functionals. In addition, for the…

High Energy Physics - Theory · Physics 2010-02-04 J. Berges , Sz. Borsanyi

Under certain conditions we prove the existence of a steady-state transport regime for interacting mesoscopic systems coupled to reservoirs (leads). The partitioning and partition-free scenarios are treated on an equal footing. Our…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Valeriu Moldoveanu , Horia D. Cornean , Claude-Alain Pillet

Non-equilibrium steady states for chains of oscillators (masses) connected by harmonic and anharmonic springs and interacting with heat baths at different temperatures have been the subject of several studies. In this paper, we show how…

Mathematical Physics · Physics 2018-05-28 Noé Cuneo , Jean-Pierre Eckmann , Martin Hairer , Luc Rey-Bellet

We study two two-level atomic quantum systems (qubits) placed close to a body held at a temperature different from that of the surrounding walls. While at thermal equilibrium the two-qubit dynamics is characterized by not entangled steady…

Quantum Physics · Physics 2015-09-01 Bruno Bellomo , Mauro Antezza

We consider non-equilibrium quantum steady states in conformal field theory (CFT) on star-graph configurations, with a particular, simple connection condition at the vertex of the graph. These steady states occur after a large time as a…

Statistical Mechanics · Physics 2015-07-28 Benjamin Doyon , Marianne Hoogeveen , Denis Bernard

We theoretically investigate the full time evolution of a nonequilibrium double quantum dot structure from initial conditions corresponding to different product states (no entanglement between dot and lead) to a nonequilibrium steady state.…

Mesoscale and Nanoscale Physics · Physics 2014-12-22 R. Härtle , A. J. Millis

We use gauge/gravity duality to study the thermodynamics of a field theory with asymptotic freedom in the ultraviolet and a fixed point in the infrared. We find a high temperature quark-gluon phase and a low T conformal unparticle phase.…

High Energy Physics - Phenomenology · Physics 2010-04-21 J. Alanen , K. Kajantie

We study the quantum dynamics of localized impurity states created by a point interaction for an electron moving in two dimensions under the influence of a perpendicular magnetic field and an in-plane weak electric field. All impurity…

Condensed Matter · Physics 2009-10-31 Sebastien Gyger , Philippe A. Martin
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