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Quantum particles and classical particles are described in a common setting of classical statistical physics. The property of a particle being "classical" or "quantum" ceases to be a basic conceptual difference. The dynamics differs,…

Quantum Physics · Physics 2015-05-13 C. Wetterich

We investigate the dynamics of bound states of two interacting particles, either bosons or fermions, performing a continuous-time quantum walk on a one-dimensional lattice. We consider the situation where the distance between both particles…

Mesoscale and Nanoscale Physics · Physics 2015-11-06 P. L. Krapivsky , J. M. Luck , K. Mallick

Para-particles are fascinating because they are neither bosons nor fermions. While unlikely to be found in nature, they might represent accurate descriptions of physical phenomena like topological phases of matter. We report the quantum…

We discuss the problem of anyonic statistics in one and two spatial dimensions from the point of view of statistical physics. In particular we want to understand how the choice of the Bornvon Karman or the twisted periodic boundary…

Statistical Mechanics · Physics 2021-02-03 Riccardo Fantoni

The quantum statistics of bosons or fermions are manifest through even or odd relative angular momentum of a pair. We show theoretically that, under certain conditions, a pair of certain test particles immersed in a fractional quantum Hall…

Quantum Gases · Physics 2014-10-22 Yuhe Zhang , G. J. Sreejith , N. D. Gemelke , J. K. Jain

While elementary particles obey either bosonic or fermionic exchange statistics, generalized exchange statistics that interpolate between bosons and fermions -- applicable to quasi-particles -- constitute an intriguing topic, both from the…

Quantum Physics · Physics 2025-05-30 Raúl Hidalgo-Sacoto , Thomas Busch , D. Blume

We introduce the boson and the fermion point processes from the elementary quantum mechanical point of view. That is, we consider quantum statistical mechanics of canonical ensemble for a fixed number of particles which obey Bose-Einstein,…

Mathematical Physics · Physics 2007-05-23 H. Tamura , K. R. Ito

Two-dimensional systems such as quantum spin liquids or fractional quantum Hall systems exhibit anyonic excitations that possess more general statistics than bosons or fermions. This exotic statistics makes it challenging to solve even a…

Strongly Correlated Electrons · Physics 2023-08-24 Nico Kirchner , Darragh Millar , Babatunde M. Ayeni , Adam Smith , Joost K. Slingerland , Frank Pollmann

The phase factor $(-1)^{2s}$ that features in the exchange symmetry for identical spin-$s$ fermions or bosons is not simply and automatically equal to the phase factor one can observe in an interference experiment that involves physically…

Quantum Physics · Physics 2019-02-08 S. J. van Enk

Diffusion processes with branching play an important role in statistical dynamics. They are a common approach to the computing of quantum mechanical groundstates, and serve as models for population dynamics and as physical pictures for…

Condensed Matter · Physics 2008-02-03 Thomas Fricke

A Fermion to Boson transformation is accomplished by attaching to each Fermion a tube carrying a single quantum of flux oriented opposite to the applied magnetic field. When the mean field approximation is made in Haldane's spherical…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 John J. Quinn , Arkadiusz Wojs , Jennifer J. Quinn , Arthur T. Benjamin

Following Ref. [Oriols X 2007 Phys. Rev. Lett., 98 066803], an algorithm to deal with the exchange interaction in non-separable quantum systems is presented. The algorithm can be applied to fermions or bosons and, by construction, it…

Quantum Physics · Physics 2014-08-05 A. Alarcón , S. Yaro , X. Cartoixà , X. Oriols

Entanglement is a fundamental feature of quantum theory as well as a key resource for quantum computing and quantum communication, but the entanglement mechanism has not been found at present. We think when the two subsystems exist…

Quantum Physics · Physics 2016-06-21 Xiang-Yao Wu , Xiao-Jing Liu , Jing-Bin Lu , Tian-Shun Li , Si-Qi Zhang , Yu Liang , Ji Ma , Hong Li

We propose an experimental scheme to probe the quantum statistics of two identical particles. The transition between the quantum and classical statistics of two identical particles is described by the particles having identical multiple…

Quantum Physics · Physics 2025-06-11 Won-Young Hwang , Kicheon Kang

Quantum walks in atomic systems, owing to their continuous nature, are especially well-suited for the simulation of many-body physics and can potentially offer an exponential speedup in solving certain black box problems. Photonics offers…

Physical systems, characterized by an ensemble of interacting elementary constituents, can be represented and studied by different algebras of observables or operators. For example, a fully polarized electronic system can be investigated by…

Quantum Physics · Physics 2009-11-07 R. Somma , G. Ortiz , J. E. Gubernatis , E. Knill , R. Laflamme

In this work we experimentally demonstrate the quantum interference of force effect using pairs of entangled photons. Although photons are massless particles, they have linear momentum, and our experiments show that the quantum…

Recent results on particle momentum and spin correlations are discussed in view of the role played by the effects of quantum statistics, including multiboson and coherence phenomena, and final state interaction. Particularly, it is…

Nuclear Theory · Physics 2009-11-10 R. Lednicky

In addition to being a workhorse for modern quantum technologies, entanglement plays a key role in fundamental tests of quantum mechanics. The entanglement of photons in multiple levels, or dimensions, explores the limits of how large an…

Quantum Physics · Physics 2018-03-12 Manuel Erhard , Mehul Malik , Anton Zeilinger

We propose an entanglement concentration scheme which uses only the effects of quantum statistics of indistinguishable particles. This establishes the fact that useful quantum information processing can be accomplished by quantum statistics…

Quantum Physics · Physics 2009-11-07 N. Paunkovic , Y. Omar , S. Bose , V. Vedral