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Observations or measurements taken of a quantum system (a small number of fundamental particles) are inherently random. If the state of the system depends on unknown parameters, then the distribution of the outcome depends on these…

统计理论 · 数学 2007-06-13 Richard D. Gill

The quantum statistical mechanics of an ideal gas with a general free-particle energy obeying fractional exclusion statistics are systematically investigated in arbitrary dimensions. The pressure relations, the relation between pressure and…

统计力学 · 物理学 2009-10-31 Gang Su , Masuo Suzuki

We develop a full characterization of abelian quantum statistics on graphs. We explain how the number of anyon phases is related to connectivity. For 2-connected graphs the independence of quantum statistics with respect to the number of…

数学物理 · 物理学 2016-01-19 Jonathan M. Harrison , Jonathan P. Keating , Jonathan M. Robbins , Adam Sawicki

Emerging of free (or quantum Boltzmann) statistics for a model of quantum particle interacting with quantum field is described in the stochastic limit without dipole approximation. The quantum field is considered in a Gaussian (for example…

量子物理 · 物理学 2020-10-28 S. V. Kozyrev

Both the topics of entanglement and particle statistics have aroused enormous research interest since the advent of quantum mechanics. Using two pairs of entangled particles we show that indistinguishability enforces a transfer of…

量子物理 · 物理学 2009-11-07 Y. Omar , N. Paunkovic , S. Bose , V. Vedral

Equation of state with quantum statistics corrections is derived for systems of the Fermi and Bose particles by using their van der Waals (vdW) and effective density-dependent Skyrme mean-field interactions. First few orders of these…

核理论 · 物理学 2022-03-14 S. N. Fedotkin , A. G. Magner , U. V. Grygoriev

Quantum theory implies, and empirical evidence confirms, that while particles $\textit{can}$ exhibit wave-like behavior in interferometric experiments, this behavior is so limited as $\textit{not}$ to allow for third- and higher-order…

量子物理 · 物理学 2025-10-27 Sebastian Horvat

Reduction is shown to be a possible consequence of the basic principles of quantum mechanics, involving no branching of the quantum state of the universe. The key feature of a measurement is attributed to the creation of macroscopic germs…

量子物理 · 物理学 2008-02-19 Roland Omnès

It is shown that a nontrivial quantum structure of our space at macroscopic scales, which may exist as a relic of quantum gravity processes in the early universe, gives rise to a new phenomenon: spontaneous origin of an interference picture…

高能物理 - 理论 · 物理学 2007-05-23 A. A. Kirillov

This chapter seeks to outline a few basic problems in quantum statistical physics where recent experimental advances from the atomic physics community offer the hope of dramatic progress. The focus is on nonequilibrium situations where the…

量子气体 · 物理学 2011-06-21 Austen Lamacraft , Joel Moore

Particle statistics impose fundamental constraints on nonequilibrium quantum dynamics, yet it remains an open question whether anyonic statistics can lead to emergent dynamical scaling beyond the conventional Bose-Fermi paradigm. Here we…

量子气体 · 物理学 2026-03-24 Xu-Chen Yang , Botao Wang , Jianpeng Liu , Bing Yang , Jianmin Yuan , Yongqiang Li

The particle transport through a chain of quantum dots coupled to two bosonic reservoirs is studied. For the case of reservoirs of non-interacting bosonic particles, we derive an exact set of stochastic differential equations, whose memory…

介观与纳米尺度物理 · 物理学 2015-06-15 Anton Ivanov , Georgios Kordas , Andreas Komnik , Sandro Wimberger

Anyons are exotic low-dimensional quasiparticles whose unconventional quantum statistics extends the binary particle division into fermions and bosons. The fractional quantum Hall regime provides a natural host, with first convincing anyon…

介观与纳米尺度物理 · 物理学 2024-09-13 P. Glidic , I. Petkovic , C. Piquard , A. Aassime , A. Cavanna , Y. Jin , U. Gennser , C. Mora , D. Kovrizhin , A. Anthore , F. Pierre

Recent investigations show that the statistical mechanics of a finite number of particles in ideal harmonic systems predicts different results for the same physical properties, depending on the ensemble under consideration. Path integral…

统计力学 · 物理学 2009-10-31 L. F. Lemmens , F. Brosens , J. T. Devreese

Strongly interacting one-dimensional quantum systems often behave in a manner that is distinctly different from their higher-dimensional counterparts. When a particle attempts to move in a one-dimensional environment it will unavoidably…

The Bohmian formulation of quantum mechanics is used in order to describe the measurement process in an intuitive way without a reduction postulate in the framework of a deterministic single system theory. Thereby the motion of the hidden…

量子物理 · 物理学 2007-05-23 H. Geiger , G. Obermair , Ch. Helm

Quantum mechanics is potentially advantageous for certain information-processing tasks, but its probabilistic nature and requirement of measurement back action often limit the precision of conventional classical information-processing…

量子物理 · 物理学 2012-10-05 Mankei Tsang , Carlton M. Caves

We discuss a non-equilibrium statistical system on a graph or network. Identical particles are injected, interact with each other, traverse, and leave the graph in a stochastic manner described in terms of Poisson rates, possibly dependent…

统计力学 · 物理学 2015-05-19 V. Y. Chernyak , M. Chertkov , N. A. Sinitsyn

In this paper we propose a new assignment for mutual exclusion statistics between quasielectrons and quasiholes in the fractional quantum Hall effect. In addition to providing numerical evidence for this assignment, we show that the…

凝聚态物理 · 物理学 2009-10-28 Wu-Pei Su , Yong-Shi Wu , Jian Yang

We analyze here in details the probability to find a given number of particles in a finite volume inside a normal or superfluid finite system. This probability, also known as counting statistics, is obtained using projection operator…

核理论 · 物理学 2020-01-22 Denis Lacroix , Sakir Ayik