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Bosonic and fermionic statistics are well known to give rise to antinomic behaviors, most notably boson bunching vs fermion antibunching. Here, we establish a fundamental relation that combines bosonic and fermionic multiparticle…

Quantum Physics · Physics 2026-05-20 Michael G. Jabbour , Nicolas J. Cerf

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

Identical particles exhibit correlations even in the absence of inter-particle interaction, due to the exchange (anti)symmetry of the many-particle wavefunction. Two fermions obey the Pauli principle and anti-bunch, whereas two bosons favor…

Quantum Physics · Physics 2012-09-13 Malte C. Tichy , Markus Tiersch , Florian Mintert , Andreas Buchleitner

In multiparticle quantum interference, bosons show rather generally the tendency to bunch together, while fermions can not. This behavior, which is rooted in the different statistics of the particles, results in a higher coincidence rate…

Quantum Physics · Physics 2020-12-15 Stefano Longhi

Bosonic bunching is a term used to describe the well-known tendency of bosons to bunch together, and which differentiates their behaviour from that of fermions or classical particles. However, in some situations perfectly indistinguishable…

The collective interference of partially distinguishable bosons in multi-mode networks is studied via double-sided Feynman diagrams. The probability for many-body scattering events becomes a multi-dimensional tensor-permanent, which…

Quantum Physics · Physics 2015-02-19 Malte C. Tichy

The symmetrization postulate asserts that the state of particular species of particles can only be of one permutation symmetry type: symmetric for bosons and antisymmetric for fermions. We report some experimental results showing that pairs…

Quantum Physics · Physics 2015-06-17 Guillaume Adenier , Joakim Bergli , Andreas P. Thörn , Arnt Inge Vistnes

We study the problem of particle indistinguishability for the three cases known in nature: identical classical particles, identical bosons and identical fermions. By exploiting the fact that different types of particles are associated with…

Quantum Physics · Physics 2013-08-09 Falk Töppel , Andrea Aiello

The composite character of two-fermion bosons manifests itself in the interference of many composites as a deviation from the ideal bosonic behavior. A state of many composite bosons can be represented as a superposition of different…

Quantum Physics · Physics 2013-01-03 Malte C. Tichy , Peter Alexander Bouvrie , Klaus Mølmer

Quantum mechanical particles in a confining potential interfere with each other while undergoing thermodynamic processes far from thermal equilibrium. By evaluating the corresponding transition probabilities between many-particle…

Statistical Mechanics · Physics 2014-12-16 Zongping Gong , Sebastian Deffner , H. T. Quan

We study statistical signatures of composite bosons made of two fermions using a new many-body approach. Extending number-states to composite bosons, two-particle correlations as well as the dispersion of the probability distribution are…

Quantum Physics · Physics 2009-03-17 M. Combescot , F. Dubin , M. A. Dupertuis

The commonly assumed straight link between boson bunching and particle indistinguishability in quantum interferometry has recently been challenged [Nat. Photon. 17, 702 (2023)]. Exploiting the connection between quantum optical…

Quantum Physics · Physics 2024-08-01 Léo Pioge , Benoit Seron , Leonardo Novo , Nicolas J. Cerf

The experimental study of the second-order interference with fermions is much less than the one with bosons since it is much more difficult to do experiments with fermions than with photons. Based on the conclusion that the behavior of two…

Quantum Physics · Physics 2017-05-25 Jianbin Liu , Hui Chen , Yu Zhou , Huaibin Zheng , Fu-li Li , Zhuo Xu

Correlations of detection events in two detectors are studied in case of linear excitation of the measuring apparatus. On the basis of classical probability theory and fundamental conservation laws, a general formula is derived for the…

Quantum Physics · Physics 2011-03-01 Sandor Varro

We describe an efficient theoretical criterion suitable for the evaluation of the tripartite entanglement of any mixed three-boson or -fermion state, based on the notion of the entanglement of particles for bipartite systems of identical…

Quantum Physics · Physics 2011-08-04 Fabrizio Buscemi , Paolo Bordone

We study the necessary conditions for bosons composed of two distinguishable fermions to exhibit bosonic-like behaviour. We base our analysis on tools of quantum information theory such as entanglement and the majorization criterion for…

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

In this work we study a system of two distinguishable fermions in a 1D harmonic potential. This system has the exceptional property that there is an analytic solution for arbitrary values of the interparticle interaction. We tune the…

Quantum Gases · Physics 2013-07-16 G. Zürn , F. Serwane , T. Lompe , A. N. Wenz , M. G. Ries , J. E. Bohn , S. Jochim

The purpose of this overview article, which can be viewed as a supplement to our previous review on quantum rings, [S. Viefers {\it et al}, Physica E {\bf 21} (2004), 1-35], is to highlight the differences of boson and fermion systems in…

Mesoscale and Nanoscale Physics · Physics 2012-10-03 M. Manninen , S. Viefers , S. M. Reimann

We present a study on two-particle indistinguishability and particle-species identification by introducing a Fisher-information (FI) approach---in which two particles pass through a two-wave mixing operation and the number of particles is…

Quantum Physics · Physics 2019-07-23 Su-Yong Lee , Jeongho Bang , Jaewan Kim
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