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We investigate numerically the response of an atomic Bose-Einstein condensate to a weakly-elliptical rotating trap over a large range of rotation frequencies. We analyse the quadrupolar shape oscillation excited by rotation, and…

Other Condensed Matter · Physics 2009-11-11 N. G. Parker , C. S. Adams

Considerable efforts are currently devoted to the preparation of ultracold neutral atoms in the emblematic strongly correlated quantum Hall regime. The routes followed so far essentially rely on thermodynamics, i.e. imposing the proper…

Quantum Gases · Physics 2012-08-31 Marco Roncaglia , Matteo Rizzi , Jean Dalibard

We consider a weakly-interacting, harmonically-trapped Bose-Einstein condensed gas under rotation and investigate the connection between the energies obtained from mean-field calculations and from exact diagonalizations in a subspace of…

Condensed Matter · Physics 2009-10-31 A. D. Jackson , G. M. Kavoulakis , B. Mottelson , S. M. Reimann

One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical…

Statistical Mechanics · Physics 2008-09-23 M. Aizenman , E. H. Lieb , R. Seiringer , J. P. Solovej , J. Yngvason

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

We propose a method to produce entangled states of several particles starting from a Bose-Einstein condensate. In the proposal, a single fast $\pi/2$ pulse is applied to the atoms and due to the collisional interaction, the subsequent free…

Quantum Physics · Physics 2009-11-06 Anders Sorensen , Lu-Ming Duan , Ignacio Cirac , Peter Zoller

We study the formation and stability of a single vortex state in a weakly-interacting Bose-Einstein condensate that is confined in a rotating harmonic potential. Our results are consistent with the fact that any single off-center vortex is…

Other Condensed Matter · Physics 2009-11-10 G. M. Kavoulakis

We study binary Bose-Einstein condensates subject to synthetic magnetic fields in mutually parallel or antiparallel directions. Within the mean-field theory, the two types of fields have been shown to give the same vortex-lattice phase…

Quantum Gases · Physics 2024-04-10 Takumi Yoshino , Shunsuke Furukawa , Masahito Ueda

We investigate the nonequilibrium dynamics of a two-dimensional rotating Bose gas confined in a symmetric anharmonic trap, employing the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We study states ranging from…

Recently Liu et al. [PRL 87, 030404 (2001)] examined the lowest state of a weakly-interacting Bose-Einstein condensate. In addition to other interesting results, using the method of the pair correlation function, they questioned the…

Statistical Mechanics · Physics 2009-11-07 G. M. Kavoulakis , S. M. Reimann , B. Mottelson

We study the rotational properties of a Bose-Einstein condensate confined in a rotating harmonic trap for different trap anisotropies. Using simple arguments, we derive expressions for the velocity field of the quantum fluid for condensates…

Statistical Mechanics · Physics 2007-05-23 J. J. Garcia-Ripoll , V. M. Perez-Garcia

We investigate the structure of vortex states in rotating two-component Bose-Einstein condensates with equal intracomponent but varying intercomponent coupling constants. A phase diagram in the intercomponent-coupling versus…

Condensed Matter · Physics 2009-11-10 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda

We study the creation of vortex states in a trapped Bose-Einstein condensate by a rotating force. For a harmonic trapping potential the rotating force induces only a circular motion of the whole condensate around the trap center which does…

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

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

Simulations of a rotationally stirred condensate show that a regime of simple behaviour occurs in which a single vortex cycles in and out of the condensate. We present a simple quantitative model of this behaviour, which accurately…

Condensed Matter · Physics 2009-10-31 B. M. Caradoc-Davies , R. J. Ballagh , K. Burnett

We propose to probe the quantum ground state of a spin-1 Bose-Einstein condensate with the transmission spectra of an optical cavity. By choosing a circularly polarized cavity mode with an appropriate frequency, we can realize coupling…

Quantum Gases · Physics 2012-11-06 J. M. Zhang , S. Cui , H. Jing , D. L. Zhou , W. M. Liu

We study the formation of vortices in a dilute Bose-Einstein condensate confined in a rotating anisotropic trap. We find that the number of vortices and angular momentum attained by the condensate depends upon the rotation history of the…

Statistical Mechanics · Physics 2009-11-11 B. Jackson , C. F. Barenghi

The quantum critical behavior of the Bose-Hubbard model for a description of two coupled Bose-Einstein condensates is studied within the framework of an algebraic theory. Energy levels, wavefunction overlaps with those of the Rabi and Fock…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Feng Pan , J. P. Draayer

Achieving full control of a Bose-Einstein condensate can have valuable applications in metrology, quantum information processing, and quantum condensed matter physics. We propose protocols to simultaneously control the internal (related to…

Quantum Physics · Physics 2026-01-13 Yue Ban , Xi Chen , J. G. Muga , E. Ya Sherman

The thermodynamic stability of quantized vortex patterns in rotating Bose-Einstein condensates is assessed at finite temperature using complex Langevin sampling. We construct a temperature-rotation frequency phase diagram and find that that…

Quantum Gases · Physics 2024-09-13 Kimberlee Keithley , Kris T. Delaney , Glenn H. Fredrickson