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We present a scheme for creating quantum entangled atomic states through the coherent spin-exchange collision of a spinor Bose-Einstein condensate. The state generated possesses macroscopic Einstein-Podolsky-Roson correlation and the…

Quantum Physics · Physics 2007-05-23 H. Pu , P. Meystre

We consider a mixture of two distinct species of atoms of pseudospin-1/2 with both intraspecies and Interspecies spin-exchange interactions, and find all the ground stats in a general case of the parameters in the effective Hamiltonian. In…

Quantum Gases · Physics 2011-03-08 Jinglong Wang , Yu Shi

In this contribution I will review the analysis of the Einstein-Podolsky-Rosen argument, Bell's inequalities and of associated experiments for spins in terms of positive operator valued measures. Specifically, I will explore the relation…

Quantum Physics · Physics 2011-01-04 P. Busch

We study the dynamics of the relative phase following the connection of two independently formed Bose-Einstein condensates. Dissipation is assumed to be due to the creation of quasiparticles induced by a fluctuating condensate particle…

Condensed Matter · Physics 2016-08-31 I. Zapata , F. Sols , A. J. Leggett

The EPRB experiment with massive partcles can be formulated if one defines spin in a relativistic way. Two versions are discussed: The one using the spin operator defined via the relativistic center-of-mass operator, and the one using the…

Quantum Physics · Physics 2009-10-30 Marek Czachor

We formulate the Einstein-Podolsky-Rosen (EPR) gedankenexperiment within the framework of relativistic quantum theory to analyze a situation in which measurements are performed by moving observers. We point out that under certain conditions…

Quantum Physics · Physics 2011-01-11 Hiroaki Terashima , Masahito Ueda

In their well-known argument against the completeness of quantum theory, Einstein, Podolsky, and Rosen (EPR) made use of a state that strictly correlates the positions and momenta of two particles. We prove the existence and uniqueness of…

Quantum Physics · Physics 2007-05-23 Hans Halvorson

When independent Bose-Einstein condensates (BEC), described quantum mechanically by Fock (number) states, are sent into interferometers, the measurement of the output port at which the particles are detected provides a binary measurement,…

Quantum Physics · Physics 2015-05-13 Franck Laloë , William Mullin

This paper reviews the progress that has been made in our knowledge of quantum correlations at the mesoscopic and macroscopic level. We begin by summarizing the Einstein-Podolsky-Rosen (EPR) argument and the Bell correlations that cannot be…

Quantum Physics · Physics 2023-08-16 Run Yan Teh , Laura Rosales-Zárate , Peter D. Drummond , M. D. Reid

We first consider the Einstein-Podolsky-Rosen (EPR) paradox for the system of two particles with spin 1/2 with entangled spins in first-quantized quantum mechanics (QM). If measurement is governed by wavefunction collapse, then gedanken…

General Physics · Physics 2021-07-29 Stuart Samuel

A model of quantum measurement, illustrated using the spin--boson model, is formulated in terms of a cascading pair of quantum phase transitions. The first produces the desired superposition of macroscopic responses to the microscopic state…

Statistical Mechanics · Physics 2019-12-19 Peter B. Weichman

Certification and quantification of correlations for multipartite states of quantum systems appear to be a central task in quantum information theory. We give here a unitary quantum-mechanical perspective of both entanglement and…

Quantum Physics · Physics 2021-07-05 Paulina Marian , Tudor A. Marian

Many-particle entanglement is a fundamental concept of quantum physics that still presents conceptual challenges. While spin-squeezed and other nonclassical states of atomic ensembles were used to enhance measurement precision in quantum…

Quantum Physics · Physics 2018-11-09 Matteo Fadel , Tilman Zibold , Boris Décamps , Philipp Treutlein

The Einstein-Podolsky-Rosen (EPR) paradox gives an argument for the incompleteness of quantum mechanics based on the premises of local realism. A general view is that the argument is compromised, because EPR's premises are falsified by…

Quantum Physics · Physics 2024-12-03 Jesse Fulton , Run Yan Teh , M. D. Reid

The ground state entanglement of the two-mode Bose-Einstein condensate is investigated through a quantum phase transition approach. The entanglement measure is taken as the order parameter and this is a non-local order parameter, which is…

Quantum Physics · Physics 2012-02-23 Wei Fan , Yan Xu. Bing Chen , Zhaoyang Chen , Xunli Feng , C. H. Oh

We show that configurations exist in which the correlation functions and the degree of violation of Bell-type inequalities in the relativistic Einstein-Podolsky-Rosen (EPR) experiment have local extrema for some values of the velocities of…

Quantum Physics · Physics 2009-04-07 Paweł Caban , Jakub Rembieliński , Marta Włodarczyk

The states generated by the two-spin generalization of the two-axis countertwisting Hamiltonian are examined. We analyze the behavior at both short and long timescales, by calculating various quantities such as squeezing, spin expectation…

We prove two equilibrium properties of a system of interacting atoms in three or higher dimensional continuous space. (i) If the particles interact via pair potentials of a nonnegative Fourier transform, their self-organization into…

Mathematical Physics · Physics 2023-05-31 Andras Suto

Einstein-Podolsky-Rosen (EPR) steering is a form of quantum correlation that exhibits a fundamental asymmetry in the properties of quantum systems. Given two observers, Alice and Bob, it is known to exist bipartite entangled states which…

Quantum Physics · Physics 2021-11-09 István Márton , Sándor Nagy , Erika Bene , Tamás Vértesi

We consider two-component Bose-Einstein condensates subject to Weyl spin-orbit coupling. We obtain mean-field ground state phase diagram by variational method. In the regime where interspecies coupling is larger than intraspecies coupling,…

Quantum Gases · Physics 2017-01-16 Ting Wu , Renyuan Liao