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We solve the Gross-Pitaevskii equations for a dilute atomic gas in a magnetic trap, modeled by an anisotropic harmonic potential. We evaluate the wave function and the energy of the Bose Einstein condensate as a function of the particle…

Condensed Matter · Physics 2009-10-28 F. Dalfovo , S. Stringari

Motivated by recent experiments, we theoretically study a gas of atomic bosons confined in an elliptical harmonic trap; forming a quasi-two-dimensional atomic Bose-Einstein condensate subject to a density-dependent gauge potential which…

Quantum Gases · Physics 2021-10-18 Matthew Edmonds

The ground state of a rotating Bose-Einstein condensate trapped in a two-dimensional anharmonic--anisotropic potential is analyzed numerically at the limit of an infinite number of particles. We find that the density breaks up along the $x$…

Quantum Gases · Physics 2024-12-05 Sunayana Dutta , Axel U. J. Lode , Ofir E. Alon

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

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 predict and describe a new collective mode in rotating Bose-Einstein condensates, which is very similar to the Rossby waves in geophysics. In the regime of fast rotation, the Coriolis force dominates the dynamics and acts as a restoring…

Quantum Physics · Physics 2013-05-20 H. Terças , J. P. A. Martins , J. T. Mendonça

The ground state properties of strongly rotating bosons confined in an asymmetric anharmonic potential exhibit a split density distribution. However, the out-of-equilibrium dynamics of this split structure remain largely unexplored. Given…

Quantum Gases · Physics 2025-07-29 Rhombik Roy , Sunayana Dutta , Ofir E. Alon

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 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…

We theoretically investigate the effect of an anisotropic trap on the instability of the polar $(m_F=0)$ phase of a spin-1 Bose-Einstein condensate. By considering rigorously the spatial quantization, we show that the growth of the nascent…

Other Condensed Matter · Physics 2009-11-13 M. Baraban , H. F. Song , S. M. Girvin , L. I. Glazman

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 study the global density profile of a rapidly rotating Bose-Einstein condensate in a harmonic trap with transverse frequency $\omega_{\perp}$. By introducing an additional variational degree of freedom to the lowest Landau level wave…

Soft Condensed Matter · Physics 2007-05-23 Gentaro Watanabe , C. J. Pethick

We study a two-dimensional rotating Bose-Einstein condensate confined by an anharmonic trap in the framework of the Gross-Pitaevksii theory. We consider a rapid rotation regime close to the transition to a giant vortex state. It was proven…

Mathematical Physics · Physics 2016-07-21 M. Correggi , D. Dimonte

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 examine an effectively repulsive Bose-Einstein condensate of atoms, that rotates in a quadratic-plus-quartic trapping potential. We investigate the phase diagram of the system as a function of the angular frequency of rotation and of the…

Statistical Mechanics · Physics 2015-06-24 A. D. Jackson , G. M. Kavoulakis

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

Using exact diagonalization, we investigate the many-body ground state for vortex patterns in a rotating Bose-condensed gas of $N$ spinless particles, confined in a quasi-two-dimensional harmonic trap and interacting repulsively via…

Quantum Gases · Physics 2020-06-02 Mohd. Imran , M. A. H. Ahsan

By calculating the density response function we identify the excitation spectrum of a Bose-Einstein condensate with equal Rashba and Dresselhaus spin-orbit coupling. We find that the velocity of sound along the direction of spin-orbit…

Quantum Gases · Physics 2013-03-29 Giovanni I. Martone , Yun Li , Lev P. Pitaevskii , Sandro Stringari

The theoretical investigation of rotating Bose-Einstein condensates has mainly focused on the emergence of quantum vortex states and the condensed properties of such systems. In the present work, we concentrate on other facets by examining…

Quantum Gases · Physics 2023-03-14 Sunayana Dutta , Axel U. J. Lode , Ofir E. Alon

We develop an approach for calculating stationary states of rotating Bose-Einstein condensates in harmonic traps which is applicable for arbitrary ratios of the rotation frequency to the transverse frequency of the trap $\omega_{\perp}$.…

Soft Condensed Matter · Physics 2009-02-05 Gordon Baym , C. J. Pethick