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In the framework of the Lindblad theory for open quantum systems, we determine the degree of quantum decoherence of a harmonic oscillator interacting with a thermal bath. It is found that the system manifests a quantum decoherence which is…

Quantum Physics · Physics 2009-11-13 A. Isar

Under unitary time evolution, expectation values of physically reasonable observables often evolve towards the predictions of equilibrium statistical mechanics. The eigenstate thermalization hypothesis (ETH) states that this is also true…

Statistical Mechanics · Physics 2018-04-19 Fabio Anza , Christian Gogolin , Marcus Huber

We describe here a model for inelastic collisions for electronic excitation and deexcitation processes in a general, multifluid plasma. The model is derived from kinetic theory, and applicable to any mixture and mass ratio. The principle of…

Plasma Physics · Physics 2015-10-08 H. P. Le , J. -L. Cambier

Hidden-variable models aim to reproduce the results of quantum theory and to satisfy our classical intuition. Their refutation is usually based on deriving predictions that are different from those of quantum mechanics. Here instead we…

Quantum Physics · Physics 2015-03-05 Radu Ionicioiu , Robert B. Mann , Daniel R. Terno

We have recently argued that if one introduces a relational time in quantum mechanics and quantum gravity, the resulting quantum theory is such that pure states evolve into mixed states. The rate at which states decohere depends on the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rodolfo Gambini , Rafael Porto , Jorge Pullin

Our account of the problem of the classical limit of quantum mechanics involves two elements. The first one is self-induced decoherence, conceived as a process that depends on the own dynamics of a closed quantum system governed by a…

Quantum Physics · Physics 2007-05-23 Mario Castagnino , Manuel Gadella

We investigate many body localization in the presence of a single particle mobility edge. By considering an interacting deterministic model with an incommensurate potential in one dimension we find that the single particle mobility edge in…

Strongly Correlated Electrons · Physics 2015-10-29 Xiaopeng Li , Sriram Ganeshan , J. H. Pixley , S. Das Sarma

Although the foundations of quantum and classical physics are much different, it is often difficult to pinpoint which features of a particular system are intrinsically "quantum". Perhapse, the most clear-cut distinction between "classical"…

Quantum Physics · Physics 2015-02-05 Piotr Szańkowski

The "self-induced decoherence" (SID) approach suggests that (1) the expectation value of any observable becomes diagonal in the eigenstates of the total Hamiltonian for systems endowed with a continuous energy spectrum, and (2), that this…

Quantum Physics · Physics 2007-05-23 Maximilian Schlosshauer

The quantum-to-classical transition through decoherence is a major facet of the semi-classical analysis of quantum models that are supposed to admit a classical regime, as quantum gravity should be. A particular problem of interest is the…

General Relativity and Quantum Cosmology · Physics 2017-04-04 Alexandre Feller , Etera R. Livine

The transition from the quantum to the classical realm remains one of the most profound open questions in physics. While quantum theory predicts the existence of macroscopic superpositions, their apparent absence in the everyday world is…

Quantum Physics · Physics 2026-01-07 Ridha Horchani

The Eigenstate Thermalization Hypothesis (ETH) represents a cornerstone in the theoretical understanding of the emergence of thermal behavior in closed quantum systems. The ETH asserts that expectation values of simple observables in energy…

Statistical Mechanics · Physics 2024-05-15 Giorgio Cipolloni , Jonah Kudler-Flam

It is well known that the dynamical mechanism of decoherence may cause apparent superselection rules, like that of molecular chirality. These `environment-induced' or `soft' superselection rules may be contrasted with `hard' superselection…

Quantum Physics · Physics 2007-05-23 Domenico Giulini

We study the ground-state properties of one-dimensional fluids of classical (i.e., non-quantum) particles interacting pairwisely via a potential, at the fixed particle density $\rho$. Restricting ourselves to periodic configurations of…

Mathematical Physics · Physics 2025-09-24 Laurent Bétermin , Ladislav Šamaj , Igor Travěnec

We present evidence that decoherence can produce a smooth quantum-to-classical transition in nonlinear dynamical systems. High-resolution tracking of quantum and classical evolutions reveals differences in expectation values of…

Quantum Physics · Physics 2009-10-31 Salman Habib , Kosuke Shizume , Wojciech Hubert Zurek

A theory recently proposed by the author aims to explain decoherence and the thermodynamical behaviour of closed systems within a conservative, unitary, framework for quantum gravity by assuming that the operators tied to the gravitational…

High Energy Physics - Theory · Physics 2010-04-06 Bernard S. Kay

The spectrum of eigenenergies of a quantum integrable system whose hamiltonian depends on a single parameter shows degeneracies (crossings) when the parameter varies. We derive a semiclassical expression for the density of crossings in the…

Quantum Physics · Physics 2009-10-31 A. J. Fendrik , M. J. Sánchez

The Eigenstate Thermalization Hypothesis (ETH) implies a form for the matrix elements of local operators between eigenstates of the Hamiltonian, expected to be valid for chaotic systems. Another signal of chaos is a positive Lyapunov…

Statistical Mechanics · Physics 2019-05-01 Laura Foini , Jorge Kurchan

The decay of the overlap between a wave packet evolved with a Hamiltonian H and the same state evolved with H}+$\Sigma $ serves as a measure of the decoherence time $\tau_{\phi}$. Recent experimental and analytical evidence on classically…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. M. Cucchietti , H. M. Pastawski , R. Jalabert

Eigenstate thermalization hypothesis (ETH) represents a breakthrough in many-body physics since it allows to link thermalization of physical observables with the applicability of random matrix theory (RMT). Recent years were also extremely…

Statistical Mechanics · Physics 2024-08-06 Maksymilian Kliczkowski , Rafał Świętek , Miroslav Hopjan , Lev Vidmar