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The weak noise limit of dissipative dynamical systems is often the most fascinating one. In such a case fluctuations can interact with a rich complexity frequently hidden in deterministic systems to give rise of completely new phenomena…

Statistical Mechanics · Physics 2021-09-15 Jakub Spiechowicz , Jerzy Łuczka

In this paper, we present a quasi-polynomial time classical algorithm that estimates the partition function of quantum many-body systems at temperatures above the thermal phase transition point. It is known that in the worst case, the same…

Quantum Physics · Physics 2021-02-22 Aram Harrow , Saeed Mehraban , Mehdi Soleimanifar

Previous theoretical studies on superconductivity were focused on the static states and adiabatic processes. Quantum mechanics simulations of time-dependent processes in superconductors were rarely performed previously. Here we use…

Superconductivity · Physics 2024-12-13 Zhigang Song , Xin Li

We examine the possibility that a metastable quantum state could experiment a phenomenon similar to thermal activation but at zero temperature. In order to do that we study the real-time dynamics of the reduced Wigner function in a simple…

Quantum Physics · Physics 2007-05-23 Daniel Arteaga , Esteban Calzetta , Albert Roura , Enric Verdaguer

The most important recent results in the theory of phase transitions and quantum effects in quantum anharmonic crystals are presented and discussed. In particular, necessary and sufficient conditions for a phase transition to occur at some…

Statistical Mechanics · Physics 2015-06-04 Sergio Albeverio , Yuri Kozitsky , Yuri Kondratiev , Michael Roeckner

In this paper we examine the behavior in temperature of the free energy on quantum systems in an arbitrary number of dimensions. We define from the free energy a function $C$ of the coupling constants and the temperature, which in the…

Condensed Matter · Physics 2009-10-22 A. H. Castro Neto , Eduardo Fradkin

We consider generalized quantum Ising models, including those which could describe disordered materials or quantum annealers, and we prove that for all temperatures above a system-size independent threshold the path integral Monte Carlo…

Quantum Physics · Physics 2025-07-16 Elizabeth Crosson , Samuel Slezak

We consider a basic model of the lossless interaction between a moving two-level atom and a standing-wave single-mode laser field. Classical treatment of the translational atomic motion provides the semiclassical Hamilton-Schrodinger…

Atomic Physics · Physics 2012-05-29 S. V. Prants

We consider blocks of quantum spins in a chain at thermal equilibrium, focusing on their properties from a thermodynamical perspective. Whereas in classical systems the temperature behaves as an intensive magnitude, a deviation from this…

Quantum Physics · Physics 2015-05-13 A. Garcia-Saez , A. Ferraro , A. Acin

We perform a study on the evolution of helical quantum turbulence at different temperatures by solving numerically the Gross-Pitaevskii and the Stochastic Ginzburg-Landau equations, using up to $4096^3$ grid points with a pseudospectral…

Fluid Dynamics · Physics 2018-09-26 P. Clark di Leoni , P. D. Mininni , M. -E. Brachet

We show that quantum computation can be performed in a system at thermal equilibrium if a spontaneous symmetry breaking occurs. The computing process is associated to the time evolution of the statistical average of the qubit coherence…

Statistical Mechanics · Physics 2007-05-23 F. de Pasquale , S. M. Giampaolo

A parametrized double-well potential is proposed to address the issue of the impact of shape deformability of some bistable physical systems, on their quantum dynamics and classical statistical mechanics. The parametrized double-well…

Statistical Mechanics · Physics 2021-10-07 F. Naha Nzoupe , Alain M. Dikande , C. Tchawoua

Ultracold polar molecules, in highly anisotropic traps and interacting via a repulsive dipolar potential, may form one-dimensional chains at high densities. According to classical theory, at low temperatures there exists a critical value of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 G. E. Astrakharchik , Gabriele De Chiara , Giovanna Morigi , Jordi Boronat

Path integrals are usually formulated in discrete Euclidean time using the Trotter formula. We propose a new method to study discrete quantum systems, in which we work directly in the Euclidean time continuum. The method is of general…

Condensed Matter · Physics 2014-10-13 B. B. Beard , U. -J. Wiese

We extend to finite temperature a Green's function method that was previously proposed to evaluate ground-state properties of mesoscopic clouds of non-interacting fermions moving under harmonic confinement in one dimension. By calculations…

Statistical Mechanics · Physics 2009-11-07 Z. Akdeniz , P. Vignolo , A. Minguzzi , M. P. Tosi

We analyze the many-body phases of an ensemble of particles interacting via a Lifshitz--Petrich--Gaussian pair potential in a harmonic confinement. We focus on specific parameter regimes where we expect decagonal quasiperiodic cluster…

Quantum Gases · Physics 2019-12-17 Fabio Cinti , Tommaso Macrì

Open quantum systems with nearly degenerate energy levels have been shown to exhibit long-lived metastable states in the approach to equilibrium, even when modelled with certain Lindblad-form quantum master equations. This is a result of…

Quantum Physics · Physics 2024-02-16 Matthew Gerry , Michael J. Kewming , Dvira Segal

We study the crossover from classical to quantum phase transitions at zero temperature within the framework of $\phi^4$ theory. The classical transition at zero temperature can be described by the Landau theory, turning into a quantum Ising…

We consider steady state heat conduction across a quantum harmonic chain connected to reservoirs modelled by infinite collection of oscillators. The heat, $Q$, flowing across the oscillator in a time interval $\tau$ is a stochastic variable…

Statistical Mechanics · Physics 2013-05-29 Keiji Saito , Abhishek Dhar

A unified semiclassical framework is presented to describe the evaporative cooling of trapped atomic gases, accounting for both classical and quantum statistics. By combining global thermodynamics with phase-space distributions, general…

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