The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics [PDF]
EntropyWe show that the theory of quantum statistical mechanics is a special model in the framework of the quantum probability theory developed by mathematicians, by extending the characteristic function in the classical probability theory to the quantum ...
Yan Gu, Jiao Wang
doaj +2 more sources
The Born Rule—100 Years Ago and Today [PDF]
EntropyThe details of the contents and formulations of the Born rule have changed considerably from its inception by Born in 1926 to the present day. This paper traces the early history of the Born rule 100 years ago, its generalization (essential for today’s ...
Arnold Neumaier
doaj +2 more sources
Quantum group invariant, nonextensive quantum statistical mechanics [PDF]
, 2001 We study the consequences of introducing quantum group invariance in the formalism of nonextensive quantum statistical mechanics. We find that the corresponding thermodynamical system is equivalent to a Bose-Einstein gas in the Boltzmann-Gibbs ...
Marcelo R. Ubriaco
openalex +3 more sources
On the foundation of equilibrium quantum statistical mechanics
, 1998 We discuss the condition for the validity of equilibrium quantum statistical mechanics in the light of recent developments in the understanding of classical and quantum chaotic motion.
Giulio Casati
openalex +4 more sources
Disorder-induced quantum-to-classical transition, or how the world becomes classical [PDF]
EPJ Web of Conferences, 2022 Decoherence theory explains how quantum mechanics gives rise to classical mechanics through the entanglement of a quantum system’s evolution with the degrees of freedom of the environment.
Bringuier Eric
doaj +1 more source
Some speculations about local thermalization of nonequilibrium extended quantum systems
Condensed Matter Physics, 2023 We discuss the possibility of defining an emergent local temperature in extended quantum many-body systems evolving out of equilibrium. For the most simple case of free-fermionic systems, we give an explicit formula for the effective temperature in the ...
M. Coppola, D. Karevski
doaj +1 more source
Exceptional dynamical quantum phase transitions in periodically driven systems
Nature Communications, 2021 Understanding phase transitions in systems out of equilibrium is a topic of high interest. Here the author discusses the spontaneous antiunitary symmetry breaking leading to exceptional dynamical quantum phase transitions in driven many-body systems.
Ryusuke Hamazaki
doaj +1 more source
Statistical mechanics for non-Hermitian quantum systems
Physical Review Research, 2023 We present a systematic study of statistical mechanics for non-Hermitian quantum systems. Our work reveals that the stability of a non-Hermitian system necessitates the existence of a single path-dependent conserved quantity, which, in conjunction with ...
Kui Cao, Su-Peng Kou
doaj +1 more source
Hybrid classical-quantum computing: Applications to statistical mechanics of financial markets [PDF]
E3S Web of Conferences, 2021 Hybrid Classical-Quantum computing is now offered by several commercial quantum computers. In this project, a model of financial options, Statistical Mechanics of Financial Markets (SMFM), uses this approach. However, only Classical (super-)computers are
Ingber Lester
doaj +1 more source
Gas of Particles Obeying the Monotone Statistics
Entropy, 2023 The present note is devoted to the detailed investigation of a concrete model satisfying the block-monotone statistics introduced in a previous paper (joint, with collaborators) of the author.
Francesco Fidaleo
doaj +1 more source