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Quantum particles and classical particles are described in a common setting of classical statistical physics. The property of a particle being "classical" or "quantum" ceases to be a basic conceptual difference. The dynamics differs,…

Quantum Physics · Physics 2015-05-13 C. Wetterich

We describe a method to compute thermodynamic quantities in the harmonic approximation for identical bosons and fermions in an external confining field. We use the canonical partition function where only energies and their degeneracies…

Quantum Physics · Physics 2012-02-16 J. R. Armstrong , N. T. Zinner , D. V. Fedorov , A. S. Jensen

A parametrically driven classical harmonic oscillator exhibits resonant instability when driven at twice its natural frequency, with the lowest energy configuration remaining unaffected by the drive. In contrast, the ground state of the…

Quantum Physics · Physics 2026-05-27 Ranjani Seshadri

A full treatment for the scattering of an arbitrary number of bosons through a Bell multiport beam splitter is presented that includes all possible output arrangements. Due to exchange symmetry, the event statistics differs dramatically…

Quantum Physics · Physics 2012-04-18 Malte C. Tichy , Markus Tiersch , Fernando de Melo , Florian Mintert , Andreas Buchleitner

The capabilities of a new approach towards the foundations of Statistical Mechanics are explored. The approach is genuine quantum in the sense that statistical behavior is a consequence of objective quantum uncertainties due to entanglement…

Quantum Physics · Physics 2010-03-29 Christian Gogolin

Quantum fluctuation relations provide a microscopic formulation of thermodynamics beyond equilibrium, but experimentally accessing many-body quantum work statistics remains an outstanding challenge. The quantum piston constitutes a…

The dynamical equation of quantum mechanics are rewritten in form of dynamical equations for the measurable, positive marginal distribution of the shifted, rotated and squeezed quadrature introduced in the so called "symplectic tomography".…

Quantum Physics · Physics 2009-10-30 Stefano Mancini , Vladimir I. Man'ko , Paolo Tombesi

p-Mechanics is a consistent physical theory which describes both quantum and classical mechanics simultaneously. We continue the development of p-mechanics by introducing the concept of states. The set of coherent states we introduce allow…

Quantum Physics · Physics 2007-05-23 Alastair Brodlie

We investigate the dynamics of a classical mechanical oscillator coupled to the simplest quantum system, a single qubit. Using the Feynman-Vernon influence functional formalism, we show that the qubit's influence manifests as both…

Quantum Physics · Physics 2026-05-29 Felipe Sobrero , Luca Abrahão , Thiago Guerreiro , Pedro V. Paraguassú

We elucidate the basic physical mechanisms responsible for the quantum-classical transition in one-dimensional, bounded chaotic systems subject to unconditioned environmental interactions. We show that such a transition occurs due to the…

Quantum Physics · Physics 2007-10-18 Benjamin D. Greenbaum , Salman Habib , Kosuke Shizume , Bala Sundaram

The quantum statistical mechanics of an ideal gas with a general free-particle energy obeying fractional exclusion statistics are systematically investigated in arbitrary dimensions. The pressure relations, the relation between pressure and…

Statistical Mechanics · Physics 2009-10-31 Gang Su , Masuo Suzuki

The Bohmian formulation of quantum mechanics is used in order to describe the measurement process in an intuitive way without a reduction postulate in the framework of a deterministic single system theory. Thereby the motion of the hidden…

Quantum Physics · Physics 2007-05-23 H. Geiger , G. Obermair , Ch. Helm

The classical dynamical system possessing a quantum spectrum of energy and "quantum" behavior is suggested and investigated. The proposed model can be considered as a dynamical variant of the old quantum theory for harmonic oscillator in…

Quantum Physics · Physics 2011-05-27 Sergey A. Rashkovskiy

The quantum and classical dynamics of particles kicked by a gaussian attractive potential are studied. Classically, it is an open mixed system (the motion in some parts of the phase space is chaotic, and in some parts it is regular). The…

Quantum Physics · Physics 2013-08-30 Yevgeny Krivolapov , Shmuel Fishman , Edward Ott , Thomas M. Antonsen

The initial states which minimize the predictability loss for a damped harmonic oscillator are identified as quasi-free states with a symmetry dictated by the environment's diffusion coefficients. For an isotropic diffusion in phase space,…

Quantum Physics · Physics 2009-10-31 Gh. -S. Paraoanu , H. Scutaru

An open question of fundamental importance in quantum thermodynamics is how to describe the statistics of work for initial state with quantum coherence. In this paper, work statistics is considered from a fully new perspective of…

Quantum Physics · Physics 2020-02-26 Bao-Ming Xu , Zhan-Chun Tu , Jian Zou

Quantum-classical correspondence for the shape of eigenfunctions, local spectral density of states and occupation number distribution is studied in a chaotic model of two coupled quartic oscillators. In particular, it is shown that both…

chao-dyn · Physics 2019-08-17 L. Benet , F. M. Izrailev , T. H. Seligman , A. Suarez-Moreno

Statistical mechanical concepts and processes such as decoherence, correlation, and dissipation can prove to be of basic importance to understanding some fundamental issues of quantum cosmology and theoretical physics such as the choice of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. L. Hu

Work in closed quantum systems is usually defined by a two-point measurement. This definition of work is compatible with quantum fluctuation theorems but it fundamentally differs from its classical counterpart. In this paper, we study the…

Quantum Physics · Physics 2018-02-16 Ignacio García-Mata , Augusto J. Roncaglia , Diego A. Wisniacki

We identify the conditions under which a stochastic driving inducing energy changes on a system coupled to a thermal bath can be treated as a work source. When these conditions are met, the work statistics satisfies the Crooks fluctuation…

Statistical Mechanics · Physics 2015-06-18 Gatien Verley , Christian Van den Broeck , Massimiliano Esposito