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We introduce the concept of the {\em odd-frequency} Bose Einstein Condensate (BEC), characterized by the odd frequency/time two-boson expectation value. To illustrate the concept of odd frequency BEC we present simple classification of pair…

Quantum Gases · Physics 2014-09-18 A. V. Balatsky

We theoretically analyze the operating principles of a proposed matter-wave Sagnac interferometer utilizing Bose-Einstein condensate (BEC) phonon modes as an interference medium. Previous work found that the orbital angular momentum phonon…

Quantum Gases · Physics 2023-03-08 B. J. Mommers , M. W. J. Bromley

We discuss the various manifestations of quantum decoherence in the forms of dephasing, entanglement with the environment, and revelation of "which-path" information. As a specific example, we consider an electron interference experiment.…

Quantum Physics · Physics 2015-05-13 Jen-Tsung Hsiang , L. H. Ford

The first- and second-order correlation functions of trapped, interacting Bose-Einstein condensates are investigated numerically on a many-body level from first principles. Correlations in real space and momentum space are treated. The…

Other Condensed Matter · Physics 2008-08-18 Kaspar Sakmann , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

We present a quantum phase space model of Bose-Einstein condensate (BEC) in a double well potential. In a two-mode Fock-state analysis we examine the eigenvectors and eigenvalues and find that the energy correlation diagram indicates a…

Soft Condensed Matter · Physics 2009-11-10 Khan W. Mahmud , Heidi Perry , William P. Reinhardt

The Unruh effect predicts a thermal response for an accelerated detector moving through the vacuum. Here we propose an interferometric scheme to observe an analogue of the circular Unruh effect using a localized laser coupled to a…

General Relativity and Quantum Cosmology · Physics 2020-12-22 Cisco Gooding , Steffen Biermann , Sebastian Erne , Jorma Louko , William G. Unruh , Joerg Schmiedmayer , Silke Weinfurtner

We provide a simple physical picture of the loss of coherence between two coherently split one-dimensional Bose-Einstein condensates. The source of the dephasing is identified with nonlinear corrections to the elementary excitation energies…

Statistical Mechanics · Physics 2012-10-01 I. E. Mazets , J. Schmiedmayer

We analyze a Bose-Einstein condensate (BEC) - based free oscillation atom Michelson interferometer in a weakly confining harmonic magnetic trap. A BEC at the center of the trap is split into two harmonics by a laser standing wave. The…

Atomic Physics · Physics 2013-05-29 Rudra P. Kafle , Dana Z. Anderson , Alex A. Zozulya

We study the interference effects between three weakly linked trapped Bose-Einstein condensates (BEC) as a generalization of the two-component condensates. Three coupled Gross-Pitaevskii equations (GPE) are used to describe the dynamics of…

Statistical Mechanics · Physics 2009-11-07 Sun Zhang , Fan Wang

We discuss the dynamics of a Bose-Einstein condensate in a double-well trap subject to phase noise and particle loss. The phase coherence of a weakly-interacting condensate, experimentally measured via the contrast in an interference…

Quantum Physics · Physics 2009-03-25 D. Witthaut , F. Trimborn , S. Wimberger

We present results on Bose-Einstein condensation (BEC) on general compact quantum graphs, i.e., one-dimensional systems with a (potentially) complex topology. We first investigate non-interacting many-particle systems and provide a complete…

Mathematical Physics · Physics 2018-05-16 Jens Bolte , Joachim Kerner

We present a comprehensive theoretical investigation of Bose-Einstein condensates (BECs) and their manifestations in astrophysical and cosmological contexts. Building upon the foundations of quantum statistics in curved spacetime, we derive…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-25 Nader Haddad

The Bose-Einstein correlation (BEC) in forward region ($2.0<\eta<4.8$) measured at 7 TeV in the Large Hadron Collider (LHC) by the LHCb collaboration is analyzed using two conventional formulas of different types named CF$_{\rm I}$ and…

High Energy Physics - Phenomenology · Physics 2020-05-20 Takuya Mizoguchi , Minoru Biyajima

The particle-number fluctuations originated from collective excitations are investigated for a three-dimensional, repulsively interacting Bose-Einstein condensate (BEC) confined in a harmonic trap. The contribution due to the quantum…

Soft Condensed Matter · Physics 2009-11-10 Shujuan Liu , Hongwei Xiong , Guoxiang Huang , Zhijun Xu

We discuss the dynamics of a Bose-Einstein condensate in a double-well trap subject to phase noise and particle loss. The phase coherence of a weakly-interacting condensate as well as the response to an external driving show a pronounced…

Other Condensed Matter · Physics 2008-12-04 D. Witthaut , F. Trimborn , S. Wimberger

A theory of Bose-Einstein condensation (BEC) of light in a dye microcavity is developed. The photon polarization degeneracy and the interaction between dye molecules and photons in all of the cavity modes are taken into account. The theory…

Quantum Gases · Physics 2013-08-20 D. N. Sob'yanin

The density density correlation function is computed for the Bogoliubov pseudoparticles created in a Bose-Einstein condensate undergoing a black hole flow. On the basis of the gravitational analogy, the method used relies only on quantum…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Paul R. Anderson , Roberto Balbinot , Alessandro Fabbri , Renaud Parentani

Quasi one dimensional Bose-Einstein condensates (BECs) in elongated traps exhibit significant phase fluctuations even at very low temperatures. We present recent experimental results on the dynamic transformation of phase fluctuations into…

Bose-Einstein condensates (BECs) represent one of the very few manifestations of purely quantum effects on a macroscopic level. The vast majority of BECs achieved in the lab to date consist of bosonic atoms, which macroscopically populate…

Quantum Physics · Physics 2020-04-22 Robert Bennett , Yaroslav Gorbachev , Stefan Yoshi Buhmann

We consider a quantum superposition of Bose-Einstein condensates in two immiscible internal states. A decoherence rate for the resulting Schroedinger cat is calculated and shown to be a significant threat to this macroscopic quantum…

Condensed Matter · Physics 2009-10-31 Diego A. R. Dalvit , Jacek Dziarmaga , Wojciech H. Zurek