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We present an analytical solution for the vortex lattice in a rapidly rotating trapped Bose-Einstein condensate (BEC) in the lowest Landau level and discuss deviations from the Thomas-Fermi density profile. This solution is exact in the…

Quantum Gases · Physics 2015-05-13 S. I. Matveenko , D. Kovrizhin , S. Ouvry , G. V. Shlyapnikov

We investigate the properties of Bose-Einstein condensates (BECs) in a two-dimensional quasi-periodic optical lattice (OL) with eightfold rotational symmetry by numerically solving the Gross-Pitaevskii equation. In a stationary external…

Quantum Gases · Physics 2020-09-07 Zhen-Xia Niu , Yonghang Tai , Junsheng Shi , Wei Zhang

We study exact solutions of the quasi-one-dimensional Gross-Pitaevskii (GP) equation with the (space, time)-modulated potential and nonlinearity and the time-dependent gain or loss term in Bose-Einstein condensates. In particular, based on…

Pattern Formation and Solitons · Physics 2017-04-19 Zhenya Yan , Dongmei Jiang

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

We study the response of a trapped Bose-Einstein condensate to a sudden turn-on of a rotating drive by solving the two-dimensional Gross-Pitaevskii equation. A weakly anisotropic rotating potential excites a quadrupole shape oscillation and…

Condensed Matter · Physics 2009-11-07 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda

We examine an effectively repulsive Bose-Einstein condensate of atoms that rotates in a quadratic-plus-quartic potential. With use of a variational method we identify the three possible phases of the system (multiple quantization, single…

Condensed Matter · Physics 2009-11-10 A. D. Jackson , G. M. Kavoulakis , E. Lundh

We study the dynamics of vortex lattice formation of a rotating trapped Bose-Einstein condensate by numerically solving the two-dimensional Gross-Pitaevskii equation, and find that the condensate undergoes elliptic deformation, followed by…

Condensed Matter · Physics 2009-11-07 Makoto Tsubota , Kenichi Kasamatsu , Masahito Ueda

The behaviour of a harmonically trapped dipolar Bose-Einstein condensate with its dipole moments rotating at angular frequencies lower than the transverse harmonic trapping frequency is explored in the co-rotating frame. We obtain…

We present simulation results of the vortex dynamics in a trapped Bose-Einstein condensate in the presence of a rotating optical lattice. Changing the potential amplitude and the relative rotation frequency between the condensate and the…

Other Condensed Matter · Physics 2009-11-11 Kenichi Kasamatsu , Makoto Tsubota

We investigate families of soliton solutions in a spin-orbit coupled Bose-Einstein condensate embedded in an optical lattice, which bifurcate from the nearly flat lowest band. Unlike the conventional gap solitons the obtained solutions have…

Quantum Gases · Physics 2024-11-06 Chenhui Wang , Yongping Zhang , V. V. Konotop

Dynamics of exciton-polariton Bose-Einstein condensate is examined by means of the stochastic Gross-Pitaevskii equation including non-Markovian coupling to the excitonic reservoir. Attention is concentrated on properties of the condensate…

Quantum Gases · Physics 2025-05-14 N. V. Kuznetsova , D. V. Makarov , N. A. Asriyan , A. A. Elistratov

We present a new family of stationary solutions to the cubic nonlinear Schroedinger equation with a Jacobian elliptic function potential. In the limit of a sinusoidal potential our solutions model a dilute gas Bose-Einstein condensate…

Condensed Matter · Physics 2009-10-31 Jared C. Bronski , Lincoln D. Carr , Bernard Deconinck , J. Nathan Kutz

We review the topic of quantized vortices in multicomponent Bose-Einstein condensates of dilute atomic gases, with an emphasis on that in two-component condensates. First, we review the fundamental structure, stability and dynamics of a…

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

By engineering appropriate artificial gauge potentials, a Bose-Einstein condensate can be adiabatically loaded into a current carrying state that resembles a vortex lattice of a rotating uniform Bose gas. We give two explicit,…

Quantum Gases · Physics 2014-11-05 Stefan K. Baur , Nigel R. Cooper

The motion of a dark soliton is investigated in a one-dimensional dilute Bose-Einstein condensate confined in a harmonic trap and an optical lattice. The harmonic trap induces a dynamical instability of the soliton, culminating in sound…

Condensed Matter · Physics 2009-11-10 N. G. Parker , N. P. Proukakis , C. F. Barenghi , C. S. Adams

We consider stationary states of an effectively one-dimensional Bose-Einstein condensate in a quasiperiodic lattice. We formulate sufficient conditions for a one-to-one correspondence between the stationary states with a fixed chemical…

Pattern Formation and Solitons · Physics 2026-02-20 G. L. Alfimov , A. P. Fedotov , Ya. A. Murenkov , D. A. Zezyulin

We investigate the properties of a coherent array containing about 200 Bose-Einstein condensates produced in a far detuned 1D optical lattice. The density profile of the gas, imaged after releasing the trap, provides information about the…

Soft Condensed Matter · Physics 2011-02-23 P. Pedri , L. Pitaevskii , S. Stringari , C. Fort , S. Burger , F. S. Cataliotti , P. Maddaloni , F. Minardi , M. Inguscio

We numerically study the optimal control of an atomic Bose-Einstein condensate in an optical lattice. We present two generalizations of the gradient-based algorithm, GRAPE, in the non-linear case and for a two-dimensional lattice. We show…

Quantum Physics · Physics 2025-02-13 E. Dionis , B. Peaudecerf , S. Guérin , D. Guéry-Odelin , D. Sugny

We study the behavior of a Bose-Einstein condensate held in an optical lattice. We first show how a self-trapping transition can be induced in the system by either increasing the number of atoms occupying a lattice site, or by raising the…

Other Condensed Matter · Physics 2007-05-23 C. E. Creffield

We study the transport of atoms across a localized Bose-Einstein condensate in a one-dimensional optical lattice. For atoms scattering off the condensate we predict total reflection as well as full transmission for certain parameter values…

Pattern Formation and Solitons · Physics 2007-05-23 Rodrigo A. Vicencio , Joachim Brand , Sergej Flach
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