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We study the entropy production of Gibbs (equilibrium) measures for chaotic dynamical systems with folding of the phase space. The dynamical chaotic model is that generated by a hyperbolic non-invertible map $f$ on a general basic (possibly…

Dynamical Systems · Mathematics 2011-04-14 Eugen Mihailescu

We study the time evolution of the entanglement entropy in bosonic systems with time-independent, or time-periodic, Hamiltonians. In the first part, we focus on quadratic Hamiltonians and Gaussian initial states. We show that all quadratic…

High Energy Physics - Theory · Physics 2018-03-20 Lucas Hackl , Eugenio Bianchi , Ranjan Modak , Marcos Rigol

The recent direct experimental measurement of quantum entanglement paves the way towards a better understanding of many-body quantum systems and their correlations. Nevertheless, the experimental and theoretical advances had so far been…

Statistical Mechanics · Physics 2019-06-18 Eyal Cornfeld , Eran Sela , Moshe Goldstein

This chapter concerns "control volume analysis", the standard engineering tool for the analysis of flow systems, and its application to entropy balance calculations. Firstly, the principles of control volume analysis are enunciated and…

Fluid Dynamics · Physics 2014-07-22 Robert K. Niven , Bernd R. Noack

The entropy production rate is a key quantity in non-equilibrium thermodynamics of both classical and quantum processes. No universal theory of entropy production is available to date, which hinders progress towards its full grasping. By…

Quantum Physics · Physics 2020-12-18 Alessio Belenchia , Luca Mancino , Gabriel T. Landi , Mauro Paternostro

The single pion production (SPP) in the charged-current neutrino (antineutrino) scattering off the polarized nucleon is discussed. The spin asymmetry is predicted within two approaches. The spin polarizations of the target nucleon that are…

High Energy Physics - Phenomenology · Physics 2019-03-12 Krzysztof M. Graczyk , Beata E. Kowal

Electron-positron pair production for inhomogeneous electric and magnetic fields oscillating in space and time is investigated. By employing accurate numerical methods (Furry-picture quantization and quantum kinetic theory), final particle…

High Energy Physics - Phenomenology · Physics 2020-06-23 Ivan A. Aleksandrov , Christian Kohlfürst

We investigate the total entropy production of a Brownian particle in a driven bistable system. This system exhibits the phenomenon of stochastic resonance. We show that in the time-periodic steady state, the probability density function…

Statistical Mechanics · Physics 2009-11-13 Sourabh Lahiri , A. M. Jayannavar

Entropy production is the crucial quantity characterizing irreversible phenomena and the second law of thermodynamics. Yet, a ubiquitous definition eludes consensus. Given that entropy production arises from incomplete access to…

Quantum Physics · Physics 2024-08-26 Adalberto D. Varizi , Pedro S. Correia

We develop a theory of spin noise spectroscopy of itinerant, noninteracting, spin-carrying fermions in different regimes of temperature and disorder. We use kinetic equations for the density matrix in spin variables. We find a general…

Statistical Mechanics · Physics 2015-05-14 Simon Kos , Alexander V. Balatsky , Peter B. Littlewood , Darryl L. Smith

We compute how phonon creation affects the fidelity of the quantum spin dynamics in trapped ion simulators. A rigorous treatment of the quantum dynamics is made by employing an exact operator factorization of the evolution operator.…

Quantum Gases · Physics 2010-03-31 C. -C. Joseph Wang , James Freericks

Motivated by the Bose et al.-Matletto-Vedral (BMV) proposal for detecting quantum superposition of spacetime geometries, we study a toy model of a quantum entanglement generation between two spins (qubits) mediated by a relativistic free…

Quantum Physics · Physics 2023-04-19 Yoshimasa Hidaka , Satoshi Iso , Kengo Shimada

We discuss a dynamical mechanism of pion production from disoriented chiral condensates (DCC). It leads to an explosive production of pions via the parametric amplification mechanism, which is similar to the reheating mechanism in…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hideaki Hiro-Oka , Hisakazu Minakata

I critically examine the notion of ``irreversibility,'' and discuss in what sense it applies to the spontaneous creation of particles in external fields. The investigation reveals that particle creation in very strong fields can only be…

High Energy Physics - Theory · Physics 2009-04-30 J. Rau

We present a novel scheme for the appearance of Stochastic Resonance when the dynamics of a Brownian particle takes place in a confined medium. The presence of uneven boundaries, giving rise to an entropic contribution to the potential, may…

Statistical Mechanics · Physics 2009-11-13 P. S. Burada , G. Schmid , D. Reguera , M. H. Vainstein , J. M. Rubi , P. Hanggi

We study the self-energy amplitudes for the rho-omega meson system produced by an effective field theory model at the quark level characterized by a finite range quark-quark interaction and an isospin breaking bare quark mass difference…

Nuclear Theory · Physics 2008-11-26 K. L. Mitchell , P. C. Tandy

The log-periodic equation for the entropy $S = - (k/a) \sum_{i=1}^{N} p_{i} \sin(a \ln p_{i})$, based on the forgotten Sharma-Taneja entropy measure, is studied for the first time with $N$ the total number of system states and $p_{i}$ the…

Data Analysis, Statistics and Probability · Physics 2014-01-21 E. Canessa

The calculation of an amplitude involving resonance production is presented. This calculation employs for the resonance state a relativistic Gamow vector. It is used for investigating the question of compatibility of the relativistic Gamow…

High Energy Physics - Theory · Physics 2007-05-23 H. Kaldass

The spinor condensate with spin states degenerated in the ground spin-space provides a unique platform for investigating the edge of quantum mechanics and statistical physics. We study the evolution of the condensate under the scattering of…

Quantum Gases · Physics 2020-04-15 Yixin Xu , Zhongda Zeng , Zbignew Domanski , Zhibing Li

The weak law of large numbers implies that, under mild assumptions on the source, the Renyi entropy per produced symbol converges (in probability) towards the Shannon entropy rate. This paper quantifies the speed of this convergence for…

Information Theory · Computer Science 2017-05-01 Maciej Skorski