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The vortex density of a rotating superfluid, divided by its particle mass, dictates the superfluid's angular velocity through the Feynman relation. To find how the Feynman relation applies to superfluid mixtures, we investigate a rotating…

Strongly Correlated Electrons · Physics 2009-11-13 Ryan Barnett , Gil Refael , Mason A. Porter , Hans Peter Buchler

We develop a stochastic Gross-Pitaveskii theory suitable for the study of Bose-Einstein condensation in a {\em rotating} dilute Bose gas. The theory is used to model the dynamical and equilibrium properties of a rapidly rotating Bose gas…

Quantum Physics · Physics 2008-09-13 A. S. Bradley , C. W. Gardiner , M. J. Davis

We study the fast rotation limit for a Bose-Einstein condensate in a quadratic plus quartic confining potential within the framework of the two dimensional Gross-Pitaevskii energy functional. As the rotation speed tends to infinity with a…

Mathematical Physics · Physics 2009-12-01 Nicolas Rougerie

We analyze recent experiments at JILA which observe periodic formation of stripes in a rotating Bose condensate [Engels et al. Phys. Rev. Lett. {\bf 89}, 100403 (2002)], and explain this behavior as a consequence of kinetic energy driven…

Condensed Matter · Physics 2009-11-07 Erich J. Mueller , Tin-Lun Ho

Here, we consider damped two-components Bose-Einstein condensates with many-body interactions. We show that, when the external trapping potential has a double-well shape and when the nonlinear coupling factors are modulated in time,…

Quantum Physics · Physics 2015-05-19 Andrea Sacchetti

We study a system of $N$ Bose atoms trapped by a symmetric harmonic potential, interacting via weak central forces. Considering the ground state of the rotating system as a function of the two conserved quantities, the total angular…

Statistical Mechanics · Physics 2009-11-07 M. S. Hussein , O. K. Vorov

We consider a Bose-Einstein condensate subject to a rotating harmonic potential, in connection with recent experiments leading to the formation of vortices. We use the classical hydrodynamic approximation to the non-linear Schr\"odinger…

Soft Condensed Matter · Physics 2016-08-31 Subhasis Sinha , Yvan Castin

We study a Bose-Einstein condensate of 52Cr atoms confined in a toroidal trap with a variable strength of s-wave contact interactions. We analyze the effects of the anisotropic nature of the dipolar interaction by considering the…

Quantum Gases · Physics 2015-05-18 M. Abad , M. Guilleumas , R. Mayol , M. Pi , D. M. Jezek

Dynamics of vortex clusters is essential for understanding diverse superfluid phenomena. In this paper, we examine the dynamics of vortex quadrupoles in a trapped two-dimensional (2D) Bose-Einstein condensate. We find that the movement of…

Quantum Gases · Physics 2016-09-23 Tao Yang , Zhi-Qiang Hu , Shan Zou , Wu-Ming Liu

We investigate the expansion dynamics of spin-orbit-coupled Bose-Einstein condensates subjected to a synthetic magnetic field, after their release from an external harmonic trap. Our findings reveal that the condensate experiences a…

Quantum Gases · Physics 2024-02-28 Juan Wang , Hongguang Liang , Yan Li , Chuan-Hsun Li , Chunlei Qu

We theoretically investigate a Bose-Einstein condensate confined by a rotating harmonic trap whose rotation axis is not aligned with any of its principal axes. The principal axes of the Thomas-Fermi density profiles of the resulting…

Quantum Gases · Physics 2020-07-01 Srivatsa B. Prasad , Brendan C. Mulkerin , Andrew M. Martin

We examine the phase diagram of a Bose-Einstein condensate of atoms, interacting with an attractive pseudopotential, in a quadratic-plus-quartic potential trap rotating at a given rate. Investigating the behavior of the gas as a function of…

Statistical Mechanics · Physics 2009-11-10 G. M. Kavoulakis , A. D. Jackson , Gordon Baym

We consider the mean-field dynamics of Bose-Einstein condensates in rotating harmonic traps and establish several stability and instability properties for the corresponding solution. We particularly emphasize the difference between the…

Analysis of PDEs · Mathematics 2024-01-29 Jack Arbunich , Irina Nenciu , Christof Sparber

In this work we use standard Hamiltonian-system techniques in order to study the dynamics of three vortices with alternating charges in a confined Bose-Einstein condensate. In addition to being motivated by recent experiments, this system…

Chaotic Dynamics · Physics 2015-06-17 Vassilis Koukouloyannis , George Voyatzis , Panayotis G. Kevrekidis

We perform finite-temperature dynamical simulations of the arrest of a rotating Bose-Einstein condensate by a fixed trap anisotropy, using a Hamiltonian classical-field method. We consider a quasi-two-dimensional condensate containing a…

Quantum Gases · Physics 2010-01-16 T. M. Wright , A. S. Bradley , R. J. Ballagh

We study vortex dynamics in trapped two-component Bose-Einstein condensates with a laser- induced spin-orbit coupling using the numerical analysis of the Gross-Pitaevskii equation. The spin-orbit coupling leads to three distinct ground…

Quantum Gases · Physics 2015-12-09 Kenichi Kasamatsu

Distintictive features of supersolids show up in their rotational properties. We calculate the moment of inertia of a harmonically trapped dipolar Bose-Einstein condensed gas as a function of the tunable scattering length parameter,…

Quantum Gases · Physics 2020-02-05 S. M. Roccuzzo , A. Gallemí , A. Recati , S. Stringari

We study the quadrupole oscillation of a Bose-Einstein condensate of $^{87}$Rb atoms confined in an axisymmetric magnetic trap, after it has been stirred by an auxiliary laser beam. The stirring may lead to the nucleation of one or more…

Soft Condensed Matter · Physics 2009-02-12 F. Chevy , K. Madison , J. Dalibard

Using a focused laser beam we stir a Bose-Einstein condensate of 87Rb confined in a magnetic trap and observe the formation of a vortex for a stirring frequency exceeding a critical value. At larger rotation frequencies we produce states of…

Statistical Mechanics · Physics 2009-10-31 K. W. Madison , F. Chevy , W. Wohlleben , J. Dalibard

We investigate a shift in the critical temperature of rotating Bose-Einstein condensates mediated by the melting of the vortex lattice. Numerical simulations reveal that this temperature exhibits contrasting behavior depending on the system…

Quantum Gases · Physics 2024-12-10 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni