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We extend classical coarse-grained entropy, commonly used in many branches of physics, to the quantum realm. We find two coarse-grainings, one using measurements of local particle numbers and then total energy, and the second using local…

Quantum Physics · Physics 2019-01-17 Dominik Šafránek , J. M. Deutsch , Anthony Aguirre

Entropy production plays a fundamental role in the study of non-equilibrium systems by offering a quantitative handle on the degree of time-reversal symmetry breaking. It depends crucially on the degree of freedom considered as well as on…

Statistical Mechanics · Physics 2022-05-04 Luca Cocconi , Guillaume Salbreux , Gunnar Pruessner

We investigate the detailed properties of Observational entropy, introduced by \v{S}afr\'{a}nek et al. [Phys. Rev. A 99, 010101 (2019)] as a generalization of Boltzmann entropy to quantum mechanics. This quantity can involve multiple…

Quantum Physics · Physics 2019-01-17 Dominik Šafránek , J. M. Deutsch , Anthony Aguirre

We consider the generation of entropy when particle pairs are created at a cosmological level. Making a reduction via the particle number basis, we compute the classical limit for the entropy generation due to the evolution of the matter…

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Kruczenski , L. E. Oxman , M. Zaldarriaga

We discuss the entropy generation in quantum tunneling of a relativistic particle under the influence of a time varying force with the help of squeezing formalism. It is shown that if one associates classical coarse grained entropy to the…

General Relativity and Quantum Cosmology · Physics 2008-02-03 A. Feinstein , M. A. Pérez Sebastián

A very simplified model of the Universe is considered in order to propose an alternative approach to the irreversible evolution of the Universe at very early times. The entropy generation at the quantum stage can be thought as a consequence…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Mario A. Castagnino , Fabian H. Gaioli , Daniel M. Sforza

We extend the analysis of the thermodynamics of the climate system by investigating the role played by processes taking place at various spatial and temporal scales through a procedure of coarse graining. The coarser is the graining of the…

Statistical Mechanics · Physics 2015-06-15 Valerio Lucarini , Salvatore Pascale

This thesis investigates cosmological particle production within Quantum Field Theory in Curved Spacetimes, both as a dark matter mechanism and through analog simulations using Bose-Einstein condensates. While a full theory of Quantum…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Álvaro Parra-López

These notes provide a brief primer on the basic aspects of "observational entropy" (also known as "quantum coarse-grained entropy"), a general framework for applying the concept of coarse-graining to quantum systems. We review the basic…

Quantum Physics · Physics 2020-10-02 Joseph Schindler

Understanding the structure and dynamics of liquids is pivotal for the study of larger spatiotemporal processes, especially in glass-forming materials at low temperatures. Density scaling, observed in many molecular systems through…

Soft Condensed Matter · Physics 2024-10-29 Jaehyeok Jin , David R. Reichman , Jeppe C. Dyre , Ulf R. Pedersen

We introduce a definition of coarse-grained entropy that unifies measurement-based (observational entropy) and max-entropy-based (Jaynes) approaches to coarse-graining, by identifying physical constraints with information theoretic priors.…

Quantum Physics · Physics 2025-03-21 Joseph Schindler , Philipp Strasberg , Niklas Galke , Andreas Winter , Michael G. Jabbour

A general framework to describe a vast majority of biology-inspired systems is to model them as stochastic processes in which multiple couplings are in play at the same time. Molecular motors, chemical reaction networks, catalytic enzymes,…

Statistical Mechanics · Physics 2020-11-25 Daniel M. Busiello , Deepak Gupta , Amos Maritan

We study nonequilibrium thermodynamic properties of a driven one-dimensional quantum fluid by combining nonlinear Luttinger liquid theory with the quantum kinetic equation. In particular, we derive an entropy production consistent with the…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 Edvin G. Idrisov , Thomas L. Schmidt

The entropy growth in a cosmological process of pair production is completely determined by the associated squeezing parameter, and is insensitive to the number of particles in the initial state. The total produced entropy may represent a…

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Gasperini , M. Giovannini

We propose a broadly applicable formalism for the description of coarse grained entropy production in quantum mechanical processes. Our formalism is based on the Husimi transform of the quantum state, which encodes the notion that…

High Energy Physics - Phenomenology · Physics 2010-04-21 Teiji Kunihiro , Berndt Muller , Akira Ohnishi , Andreas Schafer

In this paper, we investigate cosmological particle production using quantum field theory (QFT). We will consider how production of scalar particles can occur in an expanding universe. By introducing a time-dependent energy parameter…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Ng

We investigate the basic theoretical issues in the quantum entanglement of particle pairs created from the vacuum in a time-dependent background field or spacetime. Similar to entropy generation from these processes which depends on the…

General Relativity and Quantum Cosmology · Physics 2010-05-07 Shih-Yuin Lin , Chung-Hsien Chou , B. L. Hu

We study the large time fluctuations of entropy production in Markov processes. In particular, we consider the effect of a coarse-graining procedure which decimates {\em fast states} with respect to a given time threshold. Our results…

Statistical Mechanics · Physics 2010-05-21 A. Puglisi , S. Pigolotti , L. Rondoni , A. Vulpiani

Active matter systems operate far from equilibrium due to the continuous energy injection at the scale of constituent particles. At larger scales, described by coarse-grained models, the global entropy production rate S quantifies the…

Statistical Mechanics · Physics 2017-04-26 Cesare Nardini , Etienne Fodor , Elsen Tjhung , Frederic van Wijland , Julien Tailleur , Michael E. Cates

Gravitons produced from quantum vacuum fluctuations during an inflationary stage in the early Universe have zero entropy as far as they reflect the time evolution (squeezing) of a pure state, their large occupation number notwithstanding. A…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Kiefer , D. Polarski , A. A. Starobinsky
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