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Related papers: Hysteresis and persistent currents in a rotating B…

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We present variational and numerical solutions for the problem of stability of persistent currents in a two-component Bose-Einstein condensate of distinguishable atoms which rotate in a ring potential. We consider the general class of…

Quantum Gases · Physics 2015-06-18 J. Smyrnakis , M. Magiropoulos , Nikolaos K. Efremidis , G. M. Kavoulakis

Evading the Mermin-Wagner-Hohenberg no-go theorem and revisiting with rigor the ideal Bose gas confined in a square box, we explore a discrete phase transition in two spatial dimensions. Through both analytic and numerical methods we verify…

Quantum Gases · Physics 2015-01-27 Wonyoung Cho , Sang-Woo Kim , Jeong-Hyuck Park

We investigate the thermodynamic stability of quantized vortices in a dilute Bose gas confined by a rotating harmonic trap at finite temperature. Interatomic forces play a crucial role in characterizing the resulting phase diagram,…

Condensed Matter · Physics 2009-10-31 S. Stringari

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

Motivated by a recent experiment [K.C. Wright et. al. Phys. Rev. Lett. 110, 025302 (2013)], we investigate deterministic discontinuous jumps between quantized circulation states in a toroidally trapped Bose-Einstein condensate. These phase…

Quantum Gases · Physics 2015-06-22 A. I. Yakimenko , Y. M. Bidasyuk , M. Weyrauch , Y. I. Kuriatnikov , S. I. Vilchinskii

We present a theoretical and experimental analysis of the transverse monopole mode of a fast rotating Bose-Einstein condensate. The condensate's rotation frequency is similar to the trapping frequency and the effective confinement is only…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sabine Stock , Vincent Bretin , Frederic Chevy , Jean Dalibard

We present an experimental method for rotating a Bose-Einstein condensate trapped in an axisymmetric magnetic potential. This method is based on the anharmonicity of the trapping potential, which couples the center-of-mass motion of the…

Quantum Gases · Physics 2015-01-13 Seji Kang , J. Choi , S. W. Seo , W. J. Kwon , Y. Shin

We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. This is done in the framework of the 2D Gross-Pitaevskii equation and requires a symplectic reduction of the…

Analysis of PDEs · Mathematics 2008-12-01 Amandine Aftalion , Xavier Blanc , Nicolas Lerner

Quantum droplets may form out of a gaseous Bose-Einstein condensate, stabilized by quantum fluctuations beyond mean field. We show that multiple singly-quantized vortices may form in these droplets at moderate angular momenta in two…

Quantum Gases · Physics 2019-10-23 M. Nilsson Tengstrand , P. Stürmer , E. Karabulut , S. M. Reimann

Vortex states of weakly-interacting Bose-Einstein condensates confined in three-dimensional rotating harmonic traps are investigated numerically at zero temperature. The ground state in the rotating frame is obtained by propagating the…

Statistical Mechanics · Physics 2009-10-31 David L. Feder , Charles W. Clark , Barry I. Schneider

Using a focused laser beam we stir a $^{87}$Rb Bose-Einstein condensate confined in a magnetic trap. We observe that the steady states of the condensate correspond to an elliptic cloud, stationary in the rotating frame. These steady states…

Statistical Mechanics · Physics 2009-11-07 K. W. Madison , F. Chevy , V. Bretin , J. Dalibard

We present the exact diagonalization study of rotating Bose-condensed gas interacting via finite-range Gaussian potential confined in a quasi-2D harmonic trap. The system of many-body Hamiltonian matrix is diagonalized in given subspaces of…

Quantum Gases · Physics 2023-07-19 Mohd. Imran , M. A. H. Ahsan

In this letter, atom optic techniques are proposed to control the excitation of a Bose-Einstein condensate in an atomic trap. We show that by employing the dipole potential induced by four highly detuned travelling-wave laser beams with…

Statistical Mechanics · Physics 2009-10-30 Karl-Peter Marzlin , Weiping Zhang

A scissors mode of a rotating Bose-Einstein condensate is investigated both theoretically and experimentally. The condensate is confined in an axi-symmetric harmonic trap, superimposed with a small rotating deformation. For angular…

Statistical Mechanics · Physics 2009-11-07 Marco Cozzini , Sandro Stringari , Vincent Bretin , Peter Rosenbusch , Jean Dalibard

We have created a Bose-Einstein condensate whose spin orientation is metastable. Condensates were transferred into a quadrupole magnetic trap, where Majorana transitions limited the lifetime to a few hundred milliseconds, about 30 times the…

Other Condensed Matter · Physics 2013-06-10 D. S. Naik , S. R. Muniz , C. Raman

This article reviews developments in the theory of rapidly rotating degenerate atomic gases. The main focus is on the equilibrium properties of a single component atomic Bose gas, which (at least at rest) forms a Bose-Einstein condensate.…

Mesoscale and Nanoscale Physics · Physics 2009-11-26 N. R. Cooper

In this paper, we present a theoretical study of a Bose-Einstein condensate of interacting bosons in a quartic trap in one, two, and three dimensions. Using Thomas-Fermi approximation, suitably complemented by numerical solutions of the…

Other Condensed Matter · Physics 2015-05-13 G. K. Chaudhary , Amit K Chattopadhyay , R. Ramakumar

We study harmonically trapped ultracold Bose gases with attractive interparticle interactions under external rotation in three spatial dimensions and determine the critical value of the attraction strength where the gas collapses as a…

Quantum Gases · Physics 2011-06-15 Marios C. Tsatsos

We consider a rapidly rotating Bose-condensed gas in an harmonic plus quartic trap. At sufficiently high rotation rates the condensate acquires an annular geometry with the superposition of a vortex lattice. With increasing rotation rate…

Statistical Mechanics · Physics 2009-11-11 H. Fu , E. Zaremba

We extend the results of a previous paper on the Gross-Pitaevskii description of rotating Bose-Einstein condensates in two-dimensional traps to confining potentials of the form V(r) = r^s, $2<s <\infty$. Writing the coupling constant as…

Mathematical Physics · Physics 2007-10-11 M. Correggi , T. Rindler-Daller , J. Yngvason