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In this paper we introduce a diagnostic for measuring the quantum-classical difference for open quantum systems, which is the normalized size of the quantum terms in the Master equation for Wigner function evolution. For a driven Duffing…

Quantum Physics · Physics 2009-04-23 Nathan Wiebe , Parin Sripakdeevong , Arnaldo Gammal , Arjendu K. Pattanayak

We discuss the transition from a quantum to a classical domain for a model where a separation into environment and system is explicitely not given. Utilizing the coarse graining procedure for free quantum fields we also apply the projection…

Quantum Physics · Physics 2007-05-23 A. M. Lisewski

The transition from the quantum to the classical regime of the nucleation of the closed Robertson-Walker Universe with spacially homogeneous matter fields is investigated with a perturbation expansion around the sphaleron configuration. A…

High Energy Physics - Theory · Physics 2009-10-31 J. -Q. Liang , H. J. W. Mueller-Kirsten , D. K. Park , A. V. Shurgaia

The classical and quantum dynamics for an n-dimensional generalization of the kicked planar (n=1) rotator in an additional effective centrifugal potential. Therefore, typical phenomena like the diffusion in classical phase space are similar…

chao-dyn · Physics 2009-10-28 Georg Junker , Harald Karl , Hajo Leschke

Using the mapping of the Fokker-Planck description of classical stochastic dynamics onto a quantum Hamiltonian, we argue that a dynamical glass transition in the former must have a precise definition in terms of a quantum phase transition…

Statistical Mechanics · Physics 2010-08-10 Claudio Castelnovo , Claudio Chamon , David Sherrington

Using the supersymmetry approach, we study spectral statistical properties of a two-dimensional quantum particle subject to a non-uniform magnetic field. We focus mainly on the problem of regularisation of the field theory. Our analysis…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. V. Izyumov , B. D. Simons

We discuss how continuous probing of a quantum system allows estimation of unknown classical parameters embodied in the Hamiltonian of the system. We generalize the stochastic master equation associated with continuous observation processes…

Quantum Physics · Physics 2013-12-09 Antonio Negretti , Klaus Mølmer

We pursue the view that quantum theory may be an emergent structure related to large space-time scales. In particular, we consider classical Hamiltonian systems in which the intrinsic proper time evolution parameter is related through a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Hans-Thomas Elze

We study the classical analog of the quantum metric tensor and its scalar curvature for two well-known quantum physics models. First, we analyze the geometry of the parameter space for the Dicke model with the aid of the classical and…

Quantum Physics · Physics 2021-07-14 Diego Gonzalez , Daniel Gutiérrez-Ruiz , J. David Vergara

We study the evolution of an open quantum system using a Langevin unravelling of the density matrix evolution over matrix product states. As the strength of coupling to and temperature of the environment is increased, we find a transition…

Quantum Physics · Physics 2021-11-15 F. Azad , A. Hallam , J. Morley , A. G. Green

Complex interactions leading to phase transitions continue to hold a due interest in the scientific community. We charactersize a phase transition in a coupled oscillators model where interactions are not local in nature. At a first order…

Adaptation and Self-Organizing Systems · Physics 2025-08-26 Ayushi suman , Sarika Jalan

We study non-equilibrium order parameter dynamics of the non-linear sigma model in the large $N$ limit, using Keldysh formalism. We provide a scheme for obtaining stable numerical solutions of the Keldysh saddle point equations, and use…

Statistical Mechanics · Physics 2020-03-09 Sebastian Gemsheim , Ipsita Mandal , Krishnendu Sengupta , Zhiqiang Wang

The formation of topological defects in second-order phase transitions can be investigated by solving partial differential equations for the evolution of the order parameter in space and time, such as the Langevin equation. We demonstrate…

Statistical Mechanics · Physics 2025-12-02 Fumika Suzuki , Wojciech H. Zurek

We study the quatum to classical transition process in the context of quantum field theory. Extending the influence functional formalism of Feynman and Vernon, we study the decoherence process for self-interacting quantum fields in flat…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Fernando C. Lombardo

The three-dimensional classical dimer model with interactions shows an unexpected continuous phase transition between an ordered dimer crystal and a Coulomb liquid. A detailed analysis of the critical dimer and monomer correlation functions…

Statistical Mechanics · Physics 2008-09-12 Gregoire Misguich , Vincent Pasquier , Fabien Alet

We introduce a model for a two configurations system, and we study the transition from quantum to classical behaviour. We first consider the effect of the interaction with the environment as an external noise and we show that it produces…

Quantum Physics · Physics 2009-10-31 Ph. Blanchard , M. Pasquini , M. Serva

The Wigner function is a useful tool for exploring the transition between quantum and classical dynamics, as well as the behavior of quantum chaotic systems. Evolving the Wigner function for open systems has proved challenging however; a…

Quantum Physics · Physics 2015-11-10 Renan Cabrera , Denys I. Bondar , Kurt Jacobs , Herschel A. Rabitz

We study the spreading of a quantum-mechanical wavepacket in a one-dimensional tight-binding model with a noisy potential, and analyze the emergence of classical diffusion from the quantum dynamics due to decoherence. We consider a finite…

Quantum Physics · Physics 2015-05-13 Ariel Amir , Yoav Lahini , Hagai B. Perets

We investigate the dynamics of a first order transition when the order parameter field undergoes resonant oscillations, driven by a periodically varying parameter of the free energy. This parameter could be a background oscillating field as…

Condensed Matter · Physics 2009-11-07 Rajarshi Ray , Soma Sanyal , Ajit M. Srivastava

The dynamics of a quantum system following a sudden, highly non-adiabatic change of its control parameter (quantum quench) is studied with quasiclassical techniques. Recent works have shown, using exact quantum mechanical approach, that…

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