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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

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

Hong-Ou-Mandel interference, the fact that identical photons that arrive simultaneously on different input ports of a beam splitter bunch into a common output port, can be used to measure optical delays between different paths. It is…

Quantum Physics · Physics 2019-08-05 Yuanyuan Chen , Matthias Fink , Fabian Steinlechner , Juan P. Torres , Rupert Ursin

The Hong-Ou-Mandel effect is a paradigmatic quantum phenomenon demonstrating the interference of two indistinguishable photons that are linearly coupled at a 50:50 beam splitter. Here, we transpose such a two-particle quantum interference…

When two indistinguishable bosons interfere at a beam splitter, they both exit through the same output port. This foundational quantum-mechanical phenomenon, known as the Hong-Ou-Mandel (HOM) effect, has become a cornerstone in the field of…

The two-photon Hong-Ou-Mandel (HOM) interference is a pure quantum effect which indicates the degree of indistinguishability of photons. The four-photon HOM interference exhibits richer dynamics in comparison to the two-photon interference…

Optics · Physics 2019-11-20 A. Ferreri , V. Ansari , C. Silberhorn , P. R. Sharapova

We study the impact of distinguishability and mixedness -- two fundamental properties of quantum states -- on quantum interference. We show that these can influence the interference of multiple particles in different ways, leading to…

Optical interferometry has been a long-standing setup for characterization of quantum states of light. Both the linear and the nonlinear interferences can provide information about the light statistics an underlying detail of the…

Quantum Physics · Physics 2021-03-04 Konstantin E. Dorfman , Shahaf Asban , Bing Gu , Shaul Mukamel

Two particle interference phenomena, such as the Hong-Ou-Mandel effect, are a direct manifestation of the nature of the symmetry properties of indistinguishable particles as described by quantum mechanics. The Hong-Ou-Mandel effect has…

Quantum Physics · Physics 2017-05-24 Nils Trautmann , Gergely Ferenczi , Sarah Croke , Stephen M. Barnett

The implementation of quantum repeaters needed for long-distance quantum communication requires the generation of quantum entanglement distributed among the elementary links. These entanglements must be swapped among the quantum repeaters…

Quantum Physics · Physics 2023-03-20 Mayuka Ichihara , Daisuke Yoshida , Feng-Lei Hong , Tomoyuki Horikiri

The Hong-Ou-Mandel (HOM) effect is a quintessential process in various quantum information technologies and quantum optics applications. In this work, we investigate multi-photon interference, developing a model for the simultaneous…

Quantum Physics · Physics 2025-01-28 Noah Crum , Md Mehdi Hassan , Adrien Green , George Siopsis

Superposition and indistinguishablility between probability amplitudes have played an essential role in observing quantum interference effects of correlated photons. The Hong-Ou-Mandel interference and interferences of the path-entangled…

Quantum Physics · Physics 2015-03-31 Heonoh Kim , Sang Min Lee , Han Seb Moon

The Hong-Ou-Mandel (HOM) effect is a hallmark of nonclassical two-photon interference. This paper develops a unified theory-numerics framework to compute angle-resolved far-field two-photon correlations from arbitrary lossless dielectric…

Quantum Physics · Physics 2026-04-22 Chengnian Huang , Hangyu Ge , Yijia Cheng , Zi He , Feng Liu , Wei E. I. Sha

Optical emitters strongly coupled to photons propagating in one-dimensional waveguides are a promising platform for optical quantum information processing. Here, we present a theoretical study of the scattering of two indistinguishable…

Quantum Physics · Physics 2016-03-24 Alexandre Roulet , Huy Nguyen Le , Valerio Scarani

The Hong-Ou-Mandel interference experiment is a fundamental demonstration of nonclassical interference and a basis for many investigations of quantum information. This experiment involves the interference of two photons reaching a symmetric…

Quantum Physics · Physics 2023-04-05 Nicholas S. DiBrita , Enrique J. Galvez

Interference experiments provide a simple yet powerful tool to unravel fundamental features of quantum physics. Here we engineer an RF-driven, time-dependent bilinear coupling that can be tuned to implement a robust 50:50 beamsplitter…

Hong-Ou-Mandel interferometry allows one to detect the presence of entanglement in two-photon input states. The same result holds for two-particles input states which obey to Fermionic statistics. In the latter case however anti-bouncing…

Quantum Physics · Physics 2009-11-13 Vittorio Giovannetti

Hong-Ou-Mandel interferometers are valuable tools in many Quantum Information and Quantum Optics applications that require photon indistinguishability. The theoretical limit for the Hong-Ou-Mandel visibility is 0.5 for indistinguishable…

The Hong-Ou-Mandel interferometer is a versatile tool for analyzing the joint properties of photon pairs, relying on a truly quantum interference effect between two-photon probability amplitudes. While the theory behind this form of…

The celebrated Hong-Ou-Mandel effect is the paradigm of two-particle quantum interference. It has its roots in the symmetry of identical quantum particles, as dictated by the Pauli principle. Two identical bosons impinging on a beam…

Quantum Physics · Physics 2021-01-01 Nicolas J. Cerf , Michael G. Jabbour
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