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Thermodynamically, bosons and fermions differ by their statistics only. A general entropy functional is proposed by superposition of entropic terms, typical for different quantum gases. The statistical properties of the corresponding Janus…

General Physics · Physics 2017-05-02 R. Tsekov

We develop a framework to systematically investigate the influence of many-particle interference on the dynamics of generic $-$ possibly interacting $-$ bosonic systems. We consider mixtures of bosons which belong to several distinguishable…

Quantum Physics · Physics 2020-10-07 Gabriel Dufour , Tobias Brünner , Alberto Rodríguez , Andreas Buchleitner

A fundamental pillar of quantum mechanics concerns indistinguishable quantum particles. In three dimensions they may be classified into fermions or bosons, having, respectively, antisymmetric or symmetric wave functions under particle…

Statistical Mechanics · Physics 2019-02-04 Simone Barbarino , Rosario Fazio , Vlatko Vedral , Yuval Gefen

We study quantum many-body states of immanons, hypothetical particles that obey an exchange symmetry defined for more than two participating particles. Immanons thereby generalize bosons and fermions, which are defined by their behavior…

Quantum Physics · Physics 2017-08-23 Malte C. Tichy , Klaus Mølmer

In this paper we study a mixed system of bosons and fermions with up to six particles in total. All particles are assumed to have the same mass. The two-body interactions are repulsive and are assumed to have equal strength in both the…

Quantum Gases · Physics 2017-06-20 A. S. Dehkharghani , F. F. Bellotti , N. T. Zinner

We evaluate the degree of quantum correlation between two fermions (bosons) subject to continuous time quantum walks in a one-dimensional ring lattice with periodic boundary conditions. In our approach, no particle-particle interaction is…

Quantum Physics · Physics 2012-04-17 Claudia Benedetti , Fabrizio Buscemi , Paolo Bordone

An even number of fermions can behave in a bosonic way. The simplest scenario involves two fermions which can form a single boson. But four fermions can either behave as two bipartite bosons or further assemble into a single four-partite…

Quantum Physics · Physics 2019-09-11 Zakarya Lasmar , P. Alexander Bouvrie , Adam S. Sajna , Malte C. Tichy , Pawel Kurzynski

Fermionization is what happens to the state of strongly interacting repulsive bosons interacting with contact interactions in one spatial dimension. Crystallization is what happens for sufficiently strongly interacting repulsive bosons with…

Composite structure of particles somewhat modifies their statistics, compared to the pure Bose- or Fermi-ones. The spin-statistics theorem, so, is not valid anymore. Say, $\pi$-mesons, excitons, Cooper pairs are not ideal bosons, and,…

Quantum Physics · Physics 2019-12-24 A. M. Gavrilik , Yu. A. Mishchenko

Collision of quantum particles remains an effective way of probing their mutual statistics. Colliders based on quantum point contacts in quantum Hall edge states have been successfully used to probe the statistics of the underlying quantum…

Mesoscale and Nanoscale Physics · Physics 2026-02-25 Sai Satyam Samal , Smitha Vishveshwara , Yuval Gefen , Jukka I. Väyrynen

We study measurable quantities of bosonic and fermionic mixtures on a one-dimensional ring. These few-body ensembles consist of majority atoms obeying certain statistics (Fermi or Bose) and an impurity atom in a different hyperfine state.…

Quantum Gases · Physics 2015-05-01 Rafael E. Barfknecht , Ioannis Brouzos , Angela Foerster

In this short Topical Review, we look at something typically considered trivial, but not given formally elsewhere -- the behaviour of first multiple fermions, then multiple bosons, at a beamsplitter. Extending from this, we then describe…

Quantum Physics · Physics 2024-11-26 Jonte R. Hance

Bosons and fermions are defined by their exchange properties and the underlying symmetries determine the structure of the corresponding state spaces. For two particles there are two possible exchange symmetries, resulting in symmetric or…

Quantum Physics · Physics 2025-06-19 Sophia Denker , Satoya Imai , Otfried Gühne

Quantum coherence, a basic feature of quantum mechanics residing in superpositions of quantum states, is a resource for quantum information processing. Coherence emerges in a fundamentally different way for nonidentical and identical…

Many-body properties of a fermionic impurity embedded in a Bose-Einstein condensate are analyzed analytically using a solvable model, the harmonic-interaction model for Bose-Fermi mixtures. The one-particle and two-particle densities,…

Quantum Gases · Physics 2024-12-03 Ofir E. Alon , Lorenz S. Cederbaum

We build upon work by C. K. Law [Phys. Rev. A 71, 034306 (2005)] to show in general that the entanglement between two fermions largely determines the extent to which the pair behaves like an elementary boson. Specifically, we derive upper…

Quantum Physics · Physics 2013-05-29 Christopher Chudzicki , Olufolajimi Oke , William K. Wootters

According to our understanding of the everyday physical world, observable phenomena are underpinned by persistent objects that can be reidentified (or tracked) across time by observation of their distinctive properties. This understanding…

Quantum Physics · Physics 2019-09-04 Philip Goyal

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

In quantum theory, particles in three spatial dimensions come in two different types: bosons or fermions, which exhibit sharply contrasting behaviours due to their different exchange statistics. Could more general forms of probabilistic…

Quantum Physics · Physics 2013-11-05 Oscar C. O. Dahlsten , Andrew J. P. Garner , Jayne Thompson , Mile Gu , Vlatko Vedral

We solve the time evolution of the density matrix both for fermions and bosons in the presence of a homogeneous but time dependent external electric field. The number of particles produced by the external field, as well as their…

High Energy Physics - Theory · Physics 2009-10-28 Joakim Hallin , Per Liljenberg