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We analyze the diffraction regime of the Kapitza-Dirac effect for particles entangled in momentum. The detection patterns show two-particle interferences. In the single-mode case we identify a discontinuity in the set of joint detection…

Quantum Physics · Physics 2015-06-24 Pedro Sancho

The Dirac theory implies the existence of an internal vector space, in addition to spin space. Using Dirac's coupling of variables in internal space to those in physical space, we construct a new configuration structure for particles in the…

General Physics · Physics 2007-05-23 Janet Pan , Lu Lin

A well known result for the interference of two single-mode fields is that the degree of coherence and the degree of indistinguishablity are same when we consider the detection of a single photon. In this article we present the relation…

Quantum Physics · Physics 2020-08-17 Rathindra Nath Das , Sobhan Kumar Sounda

Multimode two-particle systems show interference effects in one-particle detections when both particles have common modes. We explore the possibility of extending the usual concepts of distinguishability and visibility to these types of…

Quantum Physics · Physics 2007-05-23 P. Sancho

Wave-particle duality in multi-path interference is fraught with issues despite substantial progress in recent years. It was experimentally shown that in certain specific conditions, getting path information in a multi-path experiment can…

Quantum Physics · Physics 2019-10-11 Tabish Qureshi

We derive a many-particle inseparability criterion for mixed states using the relation between single-mode and many-particle nonclassicalities. It works very well not only in the vicinity of the Dicke states, but also for the superposition…

Quantum Physics · Physics 2017-08-09 Mehmet Emre Tasgin

This paper describes a path integral formulation of the free energy principle. The ensuing account expresses the paths or trajectories that a particle takes as it evolves over time. The main results are a method or principle of least action…

Adaptation and Self-Organizing Systems · Physics 2023-09-25 Karl Friston , Lancelot Da Costa , Dalton A. R. Sakthivadivel , Conor Heins , Grigorios A. Pavliotis , Maxwell Ramstead , Thomas Parr

The dynamics of bosons in generic multimode systems, such as Bose-Hubbard models, is not only determined by interactions among the particles, but also by their mutual indistinguishability manifested in many-particle interference. We…

Quantum Physics · Physics 2018-05-25 Tobias Brünner , Gabriel Dufour , Alberto Rodríguez , Andreas Buchleitner

Entanglement can modify the interference patterns of multi-particle systems. We analyse, using the path integral formalism, a novel example of multi-particle interference and some unexplored aspects of this phenomenon by considering the…

Quantum Physics · Physics 2022-03-30 Pedro Sancho

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

Quantum interference of two independent particles in pure quantum states is fully described by the particles' distinguishability: the closer the particles are to being identical, the higher the degree of quantum interference. When more than…

The principle of indirect elimination states that an algorithm for solving discretized differential equations can be used to identify its own bad-converging modes. When the number of bad-converging modes of the algorithm is not too large,…

High Energy Physics - Lattice · Physics 2015-06-25 Martin Bäker

We extend an above barrier analysis made with the Schrodinger equation to the Dirac equation. We demonstrate the perfect agreement between the barrier results and back to back steps. This implies the existence of multiple (indeed infinite)…

High Energy Physics - Theory · Physics 2011-09-13 Stefano De Leo , Pietro Rotelli

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

Recently, we have showed a mechanism that could provide a great transmission enhancement of the light waves passed through subwavelength aperture arrays in thin metal films not by the plasmon-polariton waves, but by the constructive…

Quantum Physics · Physics 2009-11-13 S. V. Kukhlevsky

The interference of polariton guiding modes propagating through "traffic circle" waveguides composed of dielectric spherical particles is investigated. The dependence of intensity of the wave on the position of the particle was studied…

Optics · Physics 2009-11-13 I. Ya. Polishchuk , M. I. Gozman , G. S. Blaustein , A. L. Burin

We consider particles emanating from a source point inside an interval in one-dimensional space and passing through detectors situated at the endpoints of the interval that register their arrival time. Unambiguous measurements of arrival or…

Quantum Physics · Physics 2023-05-30 A. Shadi Tahvildar-Zadeh , Stephanie Zhou

Dicke superradiance, i.e., the enhanced spontaneous emission of coherent radiation, is often attributed to radiation emitted by synchronized dipoles coherently oscillating in phase. At the same time, Dicke derived superradiance assuming…

Quantum Physics · Physics 2021-11-10 D. Bhatti , M. Bojer , J. von Zanthier

We extend the study of Kapitza-Dirac diffraction to the case of two-particle systems. Due to the exchange effects the shape and visibility of the two-particle detection patterns show important differences for identical and distinguishable…

Quantum Physics · Physics 2015-05-20 Pedro Sancho

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…

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