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The von Neumann trace form of quantum statistical mechanics is transformed to an integral over classical phase space. Formally exact expressions for the resultant position-momentum commutation function are given. A loop expansion for wave…

Quantum Physics · Physics 2018-11-07 Phil Attard

It is shown that statistical mechanics is applicable to quantum systems with finite numbers of particles, such as complex atoms, atomic clusters, etc., where the residual two-body interaction is sufficiently strong. This interaction mixes…

Statistical Mechanics · Physics 2007-05-23 V. V. Flambaum , A. A. Gribakina , G. F. Gribakin , I. V. Ponomarev

Particle statistics is a fundamental part of quantum physics, and yet its role and use in the context of quantum information have been poorly explored so far. After briefly introducing particle statistics and the Symmetrization Postulate, I…

Quantum Physics · Physics 2007-05-23 Y. Omar

Subtracting accidental coincidences is a common practice quantum optics experiments. For zero mean Gaussian states, such as squeezed vacuum, we show that if one removes accidental coincidences the measurement results are quantitatively the…

Quantum Physics · Physics 2024-11-18 Eric Lantz , Fabrice Devaux , Serge Massar

We experimentally demonstrate the non-monotonic dependence of genuine many-particle interference signals on the particles' mutual distinguishability. Our theoretical analysis shows that such non-monotonicity is a generic feature of the…

We report shot noise cross correlation measurements in a four terminal beam splitter configuration. By using two tunnel barriers as independent electron sources with tunable statistics and energy, we can adjust the degree of quantum…

Other Condensed Matter · Physics 2009-01-07 Yuanzhen Chen , Samir Garzon , Richard A. Webb

Both, spin and statistics of a quantum system can be seen to arise from underlying (quantum) group symmetries. We show that the spin-statistics theorem is equivalent to a unification of these symmetries. Besides covering the Bose-Fermi case…

High Energy Physics - Theory · Physics 2008-11-26 Robert Oeckl

A lossless beam-splitter has certain (complex-valued) probability amplitudes for sending an incoming photon into one of two possible directions. We use elementary laws of classical and quantum optics to obtain general relations among the…

Quantum Physics · Physics 2023-03-27 Masud Mansuripur , Ewan M. Wright

Quantum coherence profoundly alters classical thermodynamic expectations by modifying the structure and accessibility of probability distributions. Classically, transitions to lower-entropy states (local second-law violations) are…

Quantum Physics · Physics 2025-05-20 Andrei Tudor Patrascu

A general and an arbitrarily efficient scheme for entangling the spins (or any spin-like degree of freedom) of two independent uncorrelated identical particles by a combination of two particle interferometry and which way detection is…

Quantum Physics · Physics 2009-11-07 S. Bose , D. Home

Dissipative collective effects are ubiquitous in quantum physics, and their relevance ranges from the study of entanglement in biological systems to noise mitigation in quantum computers. Here, we put forward the first fully quantum…

We elucidate generally the interference of independent Bose fields in view of the conditional probability for the particle number measurements, and clarify its relation to the source number statistics. Despite lack of intrinsic phases, the…

Quantum Physics · Physics 2011-11-07 Toru Kawakubo , Katsuji Yamamoto

We theoretically investigate quantum interference of two single photons at a lossy asymmetric beam splitter, the most general passive 2$\times$2 optical circuit. The losses in the circuit result in a non-unitary scattering matrix with a…

Quantum Physics · Physics 2016-09-22 Ravitej Uppu , Tom A. W. Wolterink , Tristan B. H. Tentrup , Pepijn W. H. Pinkse

Statistical functions such as the moment-generating function, characteristic function, cumulant-generating function, and second characteristic function are cornerstone tools in classical statistics and probability theory. They provide a…

Quantum Physics · Physics 2026-02-06 Haruki Emori

Periodic signals in electrical and electronic equipment can cause interference in nearby devices. Randomized modulation of those signals spreads their energy through the frequency spectrum and can help to mitigate electromagnetic…

Quantum Physics · Physics 2014-11-27 Juan Carlos Garcia-Escartin

Photons are bosons, and yet, when prepared in specific entangled states, they can exhibit non-bosonic behaviour. While this phenomenon has so far been studied in two-photon systems, exchange symmetries and interference effects in…

Quantum Physics · Physics 2025-12-10 Shreya Kumar , Alex E Jones , Daniel Bhatti , Stefanie Barz

It is well known that bosons and fermions exhibit opposite behaviors when experiencing interference, in the sense that bosons have a tendency to bunch whereas fermions have a tendency to antibunch. Recently, this complementarity was…

Quantum Physics · Physics 2026-04-28 Marco Robbio , Michael G. Jabbour , Nicolas J. Cerf

Both statistics and quantum theory deal with prediction using probability. We will show that there can be established a connection between these two areas. This will at the same time suggest a new, less formalistic way of looking upon basic…

Quantum Physics · Physics 2012-07-10 Inge S. Helland

It is commonly believed that there are only two types of particle exchange statistics in quantum mechanics, fermions and bosons, with the exception of anyons in two dimension. In principle, a second exception known as parastatistics, which…

Quantum Physics · Physics 2025-05-13 Zhiyuan Wang , Kaden R. A. Hazzard

Boson sampling is the problem of generating a quantum bit stream whose average is the permanent of a $n\times n$ matrix. The bitstream is created as the output of a prototype quantum computing device with $n$ input photons. It is a…