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We investigate the dynamics of pairs of Fermions and Bosons released from a box and find that their populations have unique generic properties ensuing from the axioms of quantum statistics and symmetries. These depend neither on the…

Quantum Physics · Physics 2013-03-20 Avi Marchewka , Er'el Granot

The new scheme employed (throughout the thermodynamic phase space), in the statistical thermodynamic investigation of classical systems, is extended to quantum systems. Quantum Nearest Neighbor Probability Density Functions are formulated…

Statistical Mechanics · Physics 2015-06-25 U. F. Edgal , D. L. Huber

We study the following problem: Is it possible to explain the quantum interference of probabilities in the purely corpuscular model for elementary particles? We demonstrate that (by taking into account perturbation effects of measurement…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov

We discuss counterintuitive aspects of probabilities for systems of identical particles obeying quantum statistics. Quantum coins and children (two level systems) and quantum dice (many level systems) are used as examples. It is emphasized…

Quantum Physics · Physics 2009-10-31 Chi-Keung Chow , Thomas D. Cohen

Progress in the reliable preparation, coherent propagation and efficient detection of many-body states has recently brought collective quantum phenomena of many identical particles into the spotlight. This tutorial introduces the physics of…

Quantum Physics · Physics 2014-05-09 Malte C. Tichy

Motivated by experiments on splitting one-dimensional quasi-condensates, we study the statistics of the work done by a quantum quench in a bosonic system. We discuss the general features of the probability distribution of the work and focus…

Statistical Mechanics · Physics 2013-07-16 Spyros Sotiriadis , Andrea Gambassi , Alessandro Silva

The counting statistics give insight into the properties of quantum states of light and other quantum states of matter such as ultracold atoms or electrons. The theoretical description of photon counting was derived in the 1960s and was…

Quantum Physics · Physics 2012-08-23 Sibylle Braungardt , Mirta Rodríguez , Roy J. Glauber , Maciej Lewenstein

We derive the statistical distribution functions for the Hubbard chain with infinite Coulomb repulsion among particles and for the statistical spin liquid with an arbitrary magnitude of the local interaction in momentum space. Haldane's…

Condensed Matter · Physics 2009-10-22 Krzysztof Byczuk , Jozef Spalek

Using tools from representation theory, we derive expressions for the coincidence rate of partially-distinguishable particles in an interferometry experiment. Our expressions are valid for either bosons or fermions, and for any number of…

Quantum Physics · Physics 2022-05-04 Dylan Spivak , Murphy Yuezhen Niu , Barry C. Sanders , Hubert de Guise

Traditional statistical mechanics is constrained by the binary paradigms of identical/distinguishable and bosonic/fermionic particle statistics, leading to a fundamental logical gap in describing systems with partial distinguishability. We…

Statistical Mechanics · Physics 2026-01-21 Wang Hao , Meng Yancen , Zhang Kuang , Zhou Rui'en

Effects of quantum statistics for nuclear matter equation of state are analyzed in terms of the recently proposed quantum van der Waals model. The system pressure is expanded over a small parameter $\delta \propto…

Nuclear Theory · Physics 2019-12-04 S. N. Fedotkin , A. G. Magner , M. I. Gorenstein

Fermions are fundamental particles which obey seemingly bizarre quantum-mechanical principles, yet constitute all the ordinary matter that we inhabit. As such, their study is heavily motivated from both fundamental and practical incentives.…

Quantum Physics · Physics 2023-12-19 Andrew Zhao

A thermodynamic system of non-interacting quantum particles changes its statistical distribution formulas if there is a universal limitation for the size of energetic quantum leaps (magnitude of quantum leaps smaller than Planck energy). By…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Rainer Collier

We discuss the possibility of observing quantum nonlocality using the so-called mode entanglement, analyzing the differences between different types of particles in this context. We first discuss the role of coherent states in such…

Quantum Physics · Physics 2007-11-22 S. Ashhab , Koji Maruyama , Franco Nori

We analyze the quantum dynamics of radiation propagating in a single mode optical fiber with dispersion, nonlinearity, and Raman coupling to thermal phonons. We start from a fundamental Hamiltonian that includes the principal known…

Quantum Physics · Physics 2007-05-23 P. D. Drummond , J. F. Corney

The exclusion statistics of quasiparticles is found at any level of the hierarchy of condensed states of composite fermion excitations (for which experimental indications have recently been found). The hierarchy of condensed states of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Piotr Sitko

The recent development of single-atom-resolved probes has made full counting statistics measurements accessible in quantum gas experiments. This capability provides access to high-order moments of physical observables, from which cumulants,…

The conflict between the determinism of geometry in general relativity and the essential statistics of quantum mechanics blocks the development of a unified theory. Electromagnetic radiation is essential to both fields and supplies a common…

Quantum Physics · Physics 2015-01-30 Daniel C. Galehouse

Computational physics is an important tool for analysing, verifying, and -- at times -- replacing physical experiments. Nevertheless, simulating quantum systems and analysing quantum data has so far resisted an efficient classical treatment…

Quantum Physics · Physics 2021-07-07 Sam McArdle

Quantum walks have been employed widely to develop new tools for quantum information processing recently. A natural quantum walk dynamics of interacting particles can be used to implement efficiently the universal quantum computation. In…

Quantum Physics · Physics 2016-10-04 Alexey A. Melnikov , Leonid E. Fedichkin