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The Quantum Relative Entropy of the Schwarzschild Black Hole and the Area Law

Entropy
The area law obeyed by the thermodynamic entropy of black holes is one of the fundamental results relating gravity to statistical mechanics. In this work, we provide a derivation of the area law for the quantum relative entropy of the Schwarzschild black
Ginestra Bianconi
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Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion Relation

Advances in High Energy Physics, 2018
Planck scale inspired theories which are also often accompanied with maximum energy and/or momentum scale predict deformed dispersion relations compared to ordinary special relativity and quantum mechanics.
Shovon Biswas, Mir Mehedi Faruk
doaj   +1 more source

Asymmetric Information and Quantization in Financial Economics

International Journal of Mathematics and Mathematical Sciences, 2012
We show how a quantum formulation of financial economics can be derived from asymmetries with respect to Fisher information. Our approach leverages statistical derivations of quantum mechanics which provide a natural basis for interpreting quantum ...
Raymond J. Hawkins, B. Roy Frieden
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A topographic exploration of the von Neumann entropy surface for a spin-1 (three-level) nuclear paramagnet

AIP Advances
Paramagnetic spin systems are typically analyzed using classical statistical mechanics, and the discussion is usually limited to the simplest, two-level, isolated spin-1/2 system.
David J. Siminovitch
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Statistical Measures and Complexity of Supersymmetric Polynomials in Quantum Mechanics

Mathematics
We study information-theoretic and complexity measures for the Dunkl-supersymmetric harmonic oscillator to identify the effect of supersymmetry on these quantities.
Vasil Avramov, Hristo Dimov, Miroslav Radomirov, Radoslav C. Rashkov, Tsvetan Vetsov   +4 more
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Analogies between phase transitions in potential games and quantum phase transitions

New Journal of Physics
Potential games at population level has a very natural analogy with statistical mechanical systems. Here we show that there are clear analogies between quantum phase transitions at zero temperature and phase transitions in potential games being played by
Archan Mukhopadhyay, Tanay Saha, Saikat Sur, Sagar Chakraborty   +3 more
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The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics

Entropy
We 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
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Diagnosing Thermality from Geometric Observables

Quantum Reports
We address the problem of determining whether a given mixed quantum state corresponds to thermal equilibrium or to a zero-temperature statistical mixture.
Angelo Plastino
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Quantum statistical mechanics

2021
Abstract Quantum statistical mechanics governs metals, semiconductors, and neutron stars. Statistical mechanics spawned Planck’s invention of the quantum, and explains Bose condensation, superfluids, and superconductors. This chapter briefly describes these systems using mixed states, or more formally density matrices, and introducing ...
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Statistical Mechanics for a Class of Quantum Statistics

Physical Review Letters, 1994
Generalized statistical distributions for identical particles are introduced for the case where filling a single-particle quantum state by particles depends on filling states of different momenta. The system of one-dimensional bosons with a two-body potential that can be solved by means of the thermodynamic Bethe ansatz is shown to be equivalent ...
openaire   +2 more sources