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We describe pair-correlation inherent in the structure of many-particle ground state of quantum gases, namely, Bose Einstein condensate and Cooper-paired Fermi superfluid of atomic gases. We make a comparative study on the pair-correlation…

Superconductivity · Physics 2017-08-23 Bimalendu Deb

We develop a pairing mean-field theory to describe the quantum dynamics of the dissociation of molecular Bose-Einstein condensates into their constituent bosonic or fermionic atoms. We apply the theory to one, two, and three-dimensional…

Other Condensed Matter · Physics 2010-11-09 M. J. Davis , S. J. Thwaite , M. K. Olsen , K. V. Kheruntsyan

We perform first-principles quantum simulations of dissociation of trapped, spatially inhomogeneous Bose-Einstein condensates of molecular dimers. Specifically, we study spatial pair correlations of atoms produced in dissociation after time…

Other Condensed Matter · Physics 2007-11-28 C. M. Savage , K. V. Kheruntsyan

A collision of Bose-Einstein condensates is a useful source of single nonclassically correlated pairs of atoms. Here, we consider elastic scattering of atoms from elongated clouds taking into account an effective, finite duration of the…

Quantum Gases · Physics 2020-04-01 Pawel Zin , Tomasz Wasak , Denis Boiron , Christoph I. Westbrook

Formation of atomic pairs by the dissociation of a molecular condensate or by inelastic collisions in an atomic condensate due to a time-dependent curve crossing process is studied beyond the mean-field approximation. The number of atoms…

Condensed Matter · Physics 2009-11-07 V. A. Yurovsky , A. Ben-Reuven , P. S. Julienne

An unstable condensate of diatomic molecules will coherently disassociate into correlated pairs of atoms. This dissociation process exhibits very rich quantum dynamics depending on the quantum statistics of the constituent atoms. We show…

Other Condensed Matter · Physics 2009-11-11 Michael W. Jack , Han Pu

We develop the theory of the resonant formation of coupled topological-collective coherent modes in the presence of a quantized trap and classical external field. The coupling between the topological and the collective modes can be linear…

Statistical Mechanics · Physics 2007-05-23 Aranya B Bhattacherjee

Ionic Bose polarons are quantum entities emerging from the interaction between an ion and a Bose-Einstein condensate (BEC), featuring long-ranged interactions that can compete with the gas healing length. This can result in strong…

Quantum Gases · Physics 2024-09-11 Ubaldo Cavazos Olivas , Luis A. Peña Ardila , Krzysztof Jachymski

This paper examines the parameter regimes in which coupled atomic and molecular Bose-Einstein condensates do not obey the Gross-Pitaevskii equation. Stochastic field equations for coupled atomic and molecular condensates are derived using…

Condensed Matter · Physics 2009-11-07 J. J. Hope

Based on a two-mode boson model, we study nonclassical properties of the atom-molecule Bose-Einstein condensate. The effects of nonlinear collisions on the dynamics of the molecular formation is studied both in classical and quantum…

Other Condensed Matter · Physics 2007-05-23 Guang-Ri Jin , Chul Koo Kim , Kyun Nahm

Ground-state properties of a few attractively interacting ultra-cold atoms of different mass confined in a one-dimensional harmonic trap are studied in terms of the correlation noise. Depending on the mass ratio between the components'…

Quantum Gases · Physics 2019-04-15 Daniel Pęcak , Tomasz Sowiński

Pair-correlated fermionic atoms are created through dissociation of weakly bound molecules near a magnetic-field Feshbach resonance. We show that correlations between atoms in different spin states can be detected using the atom shot noise…

Other Condensed Matter · Physics 2009-11-11 M. Greiner , C. A. Regal , J. T. Stewart , D. S. Jin

Correlations among identical bosons, which are familiar from statistical physics, play an increasingly important role in high energy multiple particle production processes. They provide information about the region, where the particles are…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kacper Zalewski

Two basic correlation functions are calculated for a model of $N$ harmonically interacting identical particles in a parabolic potential well. The density and the pair correlation function of the model are investigated for the boson case.…

Statistical Mechanics · Physics 2009-10-30 F. Brosens , J. T. Devreese , L. F. Lemmens

We theoretically analyze dissociation of a harmonically trapped Bose-Einstein condensate of molecular dimers and examine how the spatial inhomogeneity of the molecular condensate affects the conversion dynamics and the atom-atom pair…

Quantum Gases · Physics 2015-03-13 Magnus Ogren , K. V. Kheruntsyan

The implications of the formation of a Bose condensate on one- and two-particle spectra are studied for ultrarelativistic nucleus-nucleus collisions in the framework of a hydrodynamic description. It is found that single particle spectra…

Nuclear Theory · Physics 2008-11-26 U. Ornik , M. Plümer , B. R. Schlei , D. Strottman , R. M. Weiner

The ability to cool quantum gases into the quantum degenerate realm has opened up possibilities for an extreme level of quantum-state control. In this paper, we investigate one such control protocol that demonstrates the resonant…

Quantum Gases · Physics 2024-12-02 Liang-Ying Chih , Murray Holland

Recent experimental measurements of atomic intensity correlations through atom shot noise suggest that atomic quadrature phase correlations may soon be measured with a similar precision. We propose a test of local realism with mesoscopic…

Other Condensed Matter · Physics 2009-11-10 K. V. Kheruntsyan , M. K. Olsen , P. D. Drummond

Brooding over bosons, wave packets and Bose - Einstein correlations, we present a generic quantum mechanical system that contains arbitrary number of bosons characterized by wave-packets and that can undergo a Bose-Einstein condensation…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. Zimanyi , T. Csorgo

The resonant formation of nonlinear coherent modes in trapped Bose-Einstein condensates is studied. These modes represent nonground-state Bose condensates. The methods of describing the spectrum of the nonlinear modes are discussed. The…

Condensed Matter · Physics 2007-05-23 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato
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