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In this article, we discuss the identity and indistinguishability of quantum systems and the consequent need to introduce an extra postulate in Quantum Mechanics to correctly describe situations involving indistinguishable particles. This…

Quantum Physics · Physics 2009-11-11 Y. Omar

This Tutorial will introduce the mathematical framework for describing systems of identical particles, and explain the notion of indistinguishability. We will then focus our attention on dynamical systems of free particles and formally…

Quantum Physics · Physics 2020-02-19 Mattia Walschaers

This paper proposes groove-like potential structures for the observation of quantum information processing by trapped particles. As an illustration the effect of quantum statistics at a 50-50 beam splitter is investigated. For…

Quantum Physics · Physics 2009-10-31 Erika Andersson , Marcia T. Fontenelle , Stig Stenholm

Born's rule, one of the cornerstones of quantum mechanics, relates detection probabilities to the modulus square of the wave function. Single-particle interference is accordingly limited to pairs of quantum paths and higher-order…

Quantum Physics · Physics 2021-05-13 Marc-Oliver Pleinert , Joachim von Zanthier , Eric Lutz

Many-photon interference in linear-optics setups can be exploited to generate and detect multipartite entanglement. Without recurring to any inter-particle interaction, many entangled states have been created experimentally, and a panoply…

Quantum Physics · Physics 2013-02-18 Malte C. Tichy , Florian Mintert , Andreas Buchleitner

We discuss the possibility of observing quantum nonlocality using the so-called mode entanglement, analyzing the differences between different types of particles in this context. We first discuss the role of coherent states in such…

Quantum Physics · Physics 2007-11-22 S. Ashhab , Koji Maruyama , Franco Nori

The Pauli exclusion principle is a fundamental law underpinning the structure of matter. Due to their anti-symmetric wave function, no two fermions can occupy the same quantum state. Here, we report on the direct observation of the Pauli…

According to the identity principle in quantum theory, states of a system consisted of identical particles should maintain unchanged under interchanging between two of the particles. The whole wavefunction should be symmetrized or…

Quantum Physics · Physics 2009-12-08 Wei-Tao Liu , Wei Wu , Ping-Xing Chen , Cheng-Zu Li , Jian-Min Yuan

Entanglement and interference are both hallmark effects of quantum physics. Particularly rich dynamics arise when multiple (at least partially) indistinguishable particles are subjected to either of these phenomena. By combining both…

Photon distinguishability is a key factor limiting quantum interference in photonic devices, directly impacting the performance of protocols such as Boson Sampling and photonic quantum computing. We present a basis-independent framework for…

Quantum Physics · Physics 2025-09-09 Emilio Annoni , Stephen C. Wein

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

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

All particles of the same type are indistinguishable, according to a fundamental quantum principle. This entails a description of many-particle states using symmetrised or anti-symmetrised wave functions, which turn out to be formally…

Quantum Physics · Physics 2024-04-29 Pawel Blasiak , Marcin Markiewicz

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

Identical quantum particles exhibit only two types of statistics: bosonic and fermionic. Theoretically, this restriction is commonly established through the symmetrization postulate or (anti)commutation constraints imposed on the algebra of…

Quantum Physics · Physics 2024-09-17 Nicolás Medina Sánchez , Borivoje Dakić

We formulate a general theory of wave-particle duality for many-body quantum states, which quantifies how wave- and particle-like properties balance each other. Much as in the well-understood single-particle case, which-way information --…

Quantum Physics · Physics 2021-09-01 Christoph Dittel , Gabriel Dufour , Gregor Weihs , Andreas Buchleitner

In quantum mechanics, each particle is described by a complex valued wave-function characterized by amplitude and phase. When many particles interact each other, cooperative phenomena give rise to a quantum many-body state with a specific…

Quantum Gases · Physics 2022-12-01 Giovanni Pecci , Piero Naldesi , Anna Minguzzi , Luigi Amico

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

One of the central principles of quantum mechanics is that if there are multiple paths that lead to the same event, and there is no way to distinguish between them, interference occurs. It is usually assumed that distinguishing information…

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