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In this work, we study the quantum fluctuation dynamics in a Bose gas on a torus $\Lambda=(L\mathbb{T})^3$ that exhibits Bose-Einstein condensation, beyond the leading order Hartree-Fock-Bogoliubov (HFB) fluctuations. Given a Bose-Einstein…

Mathematical Physics · Physics 2023-09-12 Thomas Chen , Michael Hott

Analyzing the noise in the momentum profiles of single realizations of one-dimensional Bose gases, we present the experimental measurement of the full momentum-space density correlations $\langle \delta n_p \delta n_{p'}\rangle$, which are…

Quantum Gases · Physics 2016-03-01 Bess Fang , Aisling Johnson , Tommaso Roscilde , Isabelle Bouchoule

The dynamics of collapsing and exploding trapped Bose-Einstein condensat es caused by a sudden switch of interactions from repulsive to attractive a re studied by numerically integrating the Gross-Pitaevskii equation with atomic loss for an…

Condensed Matter · Physics 2016-08-31 Hiroki Saito , Masahito Ueda

Numerical simulations of vortex motion in a trapped Bose-Einstein condensate were performed by solving the two-dimensional Gross-Pitaevskii equation in the presence of a simple phenomenological model of interaction between the condensate…

Other Condensed Matter · Physics 2008-07-24 Eniko J. M. Madarassy

Analog black/white hole pairs, consisting of a region of supersonic flow, have been achieved in a recent experiment by J. Steinhauer using an elongated Bose-Einstein condensate. A growing standing density wave, and a checkerboard feature in…

Quantum Gases · Physics 2017-09-29 Yi-Hsieh Wang , Ted Jacobson , Mark Edwards , Charles W. Clark

Using parametric conversion induced by a Shapiro-type resonance, we produce and characterize a two-mode squeezed vacuum state in a sodium spin 1 Bose-Einstein condensate. Spin-changing collisions generate correlated pairs of atoms in the…

Quantum Gases · Physics 2020-07-27 An Qu , Bertrand Evrard , Jean Dalibard , Fabrice Gerbier

We consider the fluctuations in atom number that occur within finite-sized measurement cells in a trapped Bose-Einstein condensate (BEC). This approximates the fluctuation measurements made in current experiments with finite resolution in…

Quantum Gases · Physics 2014-01-17 R. N. Bisset , C. Ticknor , P. B. Blakie

We study the quench dynamics of a Bose-Einstein condensate under a Raman-assisted synthetic spin-orbit coupling. To model the dynamical process, we adopt a self-consistent Bogoliubov approach, which is equivalent to applying the…

Quantum Gases · Physics 2016-06-01 Tian-Shu Deng , Wei Zhang , Wei Yi , Guang-Can Guo

We analytically derive the diffusion coefficients that drive a system of $N$ coupled harmonic oscillators to an equilibrium state exhibiting persistent correlations. It is shown that the main effect of the latter consists in a…

Quantum Physics · Physics 2024-11-01 Yamen Hamdouni

An autoresonant approach for exciting space-time quasicrystals in Bose-Einstein condensates is proposed by employing two-component chirped frequency parametric driving or modulation of the interaction strength within Gross-Pitaevskii…

Pattern Formation and Solitons · Physics 2024-05-28 L. Friedland , A. G Shagalov

We investigate collective excitations of an atomic Bose-Einstein condensate in a recently discovered regime [D.O'Dell et al., Phys. Rev. Lett. 84, 5687 (2000)] of a balance between electromagnetically induced $1/r$ attraction and a…

Statistical Mechanics · Physics 2007-05-23 I. E. Mazets

The influence of a weak random potential on the collective modes of a trapped interacting Bose-Einstein condensate at zero temperature is calculated in the limit when the correlation length of the disorder is smaller than the healing length…

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

A linear quantum dynamical theory for squeezing the output of the trapped Bose-Einstein condensate is presented with the Bogoliubov approximation. We observe that the non-classical properties, such as sub-Poisson distribution and quadrature…

Quantum Physics · Physics 2009-11-06 Hui Jing , Jing-Ling Chen , Mo-Lin Ge

We investigate dynamics in two-component Bose-Einstein condensates in the context of coupled Gross-Pitaevskii equations and derive results for the evolution of the total density fluctuations. Using these results, we show how, in many cases…

Other Condensed Matter · Physics 2009-11-10 Zachary Dutton , Charles W. Clark

We discuss the mean-field approximation for a trapped weakly-interacting Bose-Einstein condensate (BEC) and its connection with the exact many-body problem by deriving the Gross-Pitaevskii action of the condensate. The mechanics of the BEC…

Statistical Mechanics · Physics 2009-10-31 Luca Salasnich

We study the quantum corrections to the Gross-Pitaevskii equation for two weakly linked Bose-Einstein condensates. The goals are: 1) to investigate dynamical regimes at the borderline between the classical and quantum behaviour of the…

Statistical Mechanics · Physics 2016-08-31 Augusto Smerzi , Srikanth Raghavan

We report first-order spatial and temporal correlations in strongly coupled plasmonic Bose-Einstein condensates. The condensate is large, more than twenty times the spatial coherence length of the polaritons in the uncondensed system and…

We have measured the effect of dipole-dipole interactions on the frequency of a collective mode of a Bose-Einstein condensate. At relatively large numbers of atoms, the experimental measurements are in good agreement with zero temperature…

Quantum Gases · Physics 2015-05-19 G. Bismut , B. Pasquiou , E. Maréchal , P. Pedri , L. Vernac , O. Gorceix , B. Laburthe-Tolra

We study the collective excitation spectrum of a Raman-induced spin-orbit-coupled spin-1 Bose-Einstein condensate confined in a quasi-one-dimensional harmonic trap while varying either the Raman coupling or quadratic Zeeman term by using…

Quantum Gases · Physics 2025-03-25 Rajat , Paramjeet Banger , Sandeep Gautam

An optical speckle potential is used to investigate the static and dynamic properties of a Bose-Einstein condensate in the presence of disorder. For strong disorder the condensate is localized in the deep wells of the potential. With…

Other Condensed Matter · Physics 2009-11-10 J. E. Lye , L. Fallani , M. Modugno , D. Wiersma , C. Fort , M. Inguscio