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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

We calculate the frequencies and damping rates of the low-lying collective modes of a Bose-Einstein condensed gas at nonzero temperature. We use a complex nonlinear Schr\"odinger equation to determine the dynamics of the condensate atoms,…

Condensed Matter · Physics 2014-10-13 U. Al Khawaja , H. T. C. Stoof

We study the collision of two Bose-Einstein condensates with pure dipolar interaction. A stationary pure dipolar condensate is known to be stable when the atom number is below a critical value. However, collapse can occur during the…

Statistical Mechanics · Physics 2009-10-12 B. Sun , M. S. Pindzola

We analyze a process of splitting of the Bose-Einstein condensate and the mutual coherence of two separated atomic clouds. Within the classical fields approximation we show that coherence between clouds is degraded if atoms interact and if…

Quantum Gases · Physics 2015-06-18 Tomasz Górski , Kazimierz Rzążewski

We present a quantum theory of low-lying excitations in a trapped Bose condensate with finite particle numbers. We find that even at zero temperature condensate number fluctuations and/or fluctuations of the excitation frequency due to…

Condensed Matter · Physics 2008-02-03 R. Graham , D. F. Walls , M. J. Collett , M. Fliesser , E. M. Wright

We quantify the effect of phase fluctuations on atom chip interferometry of Bose-Einstein condensates. At very low temperatures, we observe small phase fluctuations, created by mean-field depletion, and a resonant production of vortices…

Other Condensed Matter · Physics 2015-05-13 R. G. Scott , D. A. W. Hutchinson , T. E. Judd , T. M. Fromhold

We investigate Bose-Einstein condensation for interacting bosons at zero and nonzero temperature. Functional renormalization provides us with a consistent method to compute the effect of fluctuations beyond the Bogoliubov approximation. For…

Superconductivity · Physics 2009-01-28 S. Floerchinger , C. Wetterich

We explore the phenomenon of Bose-Einstein condensation in two and one-dimensional Dunkl-boson gases confined within a power-law potential, employing the framework of Dunkl-deformed boson theory. Our investigation involves the calculation…

Quantum Gases · Physics 2025-08-06 A. Hocine , F. Merabtine , B. Hamil , B. C. Lütfüoğlu , M. Benarous

By using the self-consistent Hartree-Fock-Bogoliubov-Popov theory, we present a detailed study of the mean-field stability of spherically trapped Bose-Fermi mixtures at finite temperature. We find that, by increasing the temperature, the…

Statistical Mechanics · Physics 2007-05-23 Xia-Ji Liu , Michele Modugno , Hui Hu

We consider the thermodynamics of a homogeneous superfluid dilute Bose gas in the presence of weak quenched disorder. Following the zero-temperature approach of Huang and Meng, we diagonalize the Hamiltonian of a dilute Bose gas in an…

Other Condensed Matter · Physics 2010-02-05 G. M. Falco , A. Pelster , R. Graham

We present a fully comprehensive multi-mode quantum treatment based on the truncated Wigner approximation (TWA) to study many-body effects and quantum fluctuations on the formation of a discrete time crystal (DTC) in a Bose-Einstein…

Quantum Gases · Physics 2021-07-07 Jia Wang , Peter Hannaford , Bryan J Dalton

We suggested a method to estimate the quantum depletion of interacting Bose particles confined by a three dimensional harmonic trap.

Statistical Mechanics · Physics 2007-05-23 Sang-Hoon Kim

Using the time-dependent Hartree-Fock-Bogoliubov approach, where the condensate is coupled with the thermal cloud and the anomalous density, we study the equilibrium and the dynamical properties of three-dimensional quantum-degenerate Bose…

Quantum Gases · Physics 2017-10-12 Abdelaali Boudjemaa , Nadia Guebli

We describe a pairing mean-field theory related to the Hartree-Fock-Bogoliubov approach, and apply it to the dynamics of dissociation of a molecular Bose-Einstein condensate (BEC) into correlated bosonic atom pairs. We also perform the same…

Quantum Physics · Physics 2015-05-13 S. L. W. Midgley , S. Wuester , M. K. Olsen , M. J. Davis , K. V. Kheruntsyan

Bose-Einstein condensation has been realized in dilute atomic vapors. This achievement has generated immerse interest in this field. Presented is a review of recent theoretical research into the properties of trapped dilute-gas…

Soft Condensed Matter · Physics 2009-10-31 Takeya Tsurumi , Hirofumi Morise , Miki Wadati

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

Fluctuations are a key property of both classical and quantum systems. While the fluctuations are well understood for many quantum systems at zero temperature, the case of an interacting quantum system at finite temperature still poses…

We report on the single-atom-resolved measurement of the distribution of momenta $\hbar k$ in a weakly interacting Bose gas after a 330 ms time-of-flight. We investigate it for various temperatures and clearly separate two contributions to…

Quantum Gases · Physics 2016-12-07 R. Chang , Q. Bouton , H. Cayla , C. Qu , A. Aspect , C. I. Westbrook , D. Clément

The formulation for zero mode of a Bose-Einstein condensate beyond the Bogoliubov approximation at zero temperature [Y.Nakamura et al., Phys. Rev. A 89, 013613 (2014)] is extended to finite temperature. Both thermal and quantum fluctuations…

Quantum Gases · Physics 2017-03-08 Y. Nakamura , T. Kawaguchi , Y. Torii , Y. Yamanaka

We calculate the damping rate of collective excitations for a nearly pure Bose-Einstein condensate regarding the recent experiments in MIT [M.-O. Mews et al, Phys. Rev. Lett. 77, 988 (1996)]. The decay time of collective excitations…

Soft Condensed Matter · Physics 2008-02-03 W. Vincent Liu , William C. Schieve
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