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We study a quasispin-$1/2$ Bose-Einstein condensate with synthetically generated spin-orbit coupling in a toroidal trap, and show that the system has a rich variety of ground and metastable states. As the central hole region increases,…

Quantum Gases · Physics 2017-03-22 Xiao-Fei Zhang , Masaya Kato , Wei Han , Shou-Gang Zhang , Hiroki Saito

Motivated by recent experiments, we model the dynamics of a condensed Bose gas in a rotating anisotropic trap, where the equations of motion are analogous to those of charged particles in a magnetic field. As the rotation rate is ramped…

Quantum Gases · Physics 2022-02-09 Vaibhav Sharma , Erich J Mueller

We develop a multimode model that describes the dynamics on a rotating Bose-Einstein condensate confined by a ring-shaped optical lattice with large filling numbers. The parameters of the model are obtained as a function of the rotation…

Quantum Gases · Physics 2020-07-23 M Nigro , P Capuzzi , D M Jezek

For a Bose-Einstein condensate placed in a rotating trap, we study the simplified energy of a vortex line derived in Aftalion-Riviere Phys. Rev. A 64, 043611 (2001) in order to determine the shape of the vortex line according to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Amandine Aftalion , Robert L. Jerrard

Static and dynamic properties of vortices in a two-component Bose-Einstein condensate with Rashba spin-orbit coupling are investigated. The mass current around a vortex core in the plane-wave phase is found to be deformed by the spin-orbit…

Quantum Gases · Physics 2017-04-12 Masaya Kato , Xiao-Fei Zhang , Hiroki Saito

A rotating, two-component Bose-Einstein condensate is shown to exhibit vortices of multiple quantization, which are possible due to the interatomic interactions between the two species. Also, persistent currents are absent in this system.…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 J. Christensson , S. Bargi , K. Karkkainen , Y. Yu , G. M. Kavoulakis , M. Manninen , S. M. Reimann

We study in detail the counterintuitive result that in elongated rotating Bose--Einstein condensates the ground state is composed of one or more vortex lines which bend even in completely symmetric setups. This symmetry breaking allows the…

Condensed Matter · Physics 2007-05-23 J. J. Garcia-Ripoll , V. M. Perez-Garcia

Using the explicit numerical solution of the axially-symmetric Gross-Pitaevskii equation we study the oscillation of the Bose-Einstein condensate induced by a periodic variation in the atomic scattering length $a$. When the frequency of…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

The structure of vortices in Bose-Einstein condensed atomic gases is studied taking into account many-body correlation effects. It is shown that for excited vortices the particle density in the vortex core increases as the angular momentum…

Condensed Matter · Physics 2007-05-23 Jian-Ming Tang

We investigate D-dimensional atomic Bose-Einstein condensates in a hypercylindrical trap with a vortex core along the z-axis and quantized circulation $\hbar m$. We analytically approximate the hypercylindrical Gross-Pitaevskii equation…

Quantum Gases · Physics 2025-07-17 Maria Isabelle Fite , B. A. McKinney

The dynamical vortex production, with a trap-confining time-dependent stirred potential, is studied by using mass-imbalanced cold-atom coupled Bose-Einstein condensates (BEC). The vortex formation is explored by considering that both…

Quantum Gases · Physics 2023-03-29 Anacé N. da Silva , R. Kishor Kumar , Ashton S. Bradley , Lauro Tomio

We study the rotation of a $^{87}$Rb Bose-Einstein condensate confined in a magnetic trap to which a focused, off resonant gaussian laser beam is superimposed. The confining potential is well approximated by the sum of a quadratic and a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vincent Bretin , Sabine Stock , Yannick Seurin , Jean Dalibard

The vortex-vortex interaction in two-component Bose-Einstein condensates is shown to present characteristic effects not possible in single-component condensates. In particular, vortices in different components undergo separate, but…

Soft Condensed Matter · Physics 2015-06-24 P. Ohberg , L. Santos

We conduct a theoretical study of the creation and dynamics of vortices in a two-dimensional binary Bose-Einstein condensate with a mass imbalance between the species. To initiate the dynamics, we use one or two rotating paddle potentials…

Quantum Gases · Physics 2022-08-08 Subrata Das , Koushik Mukherjee , Sonjoy Majumder

We study trapped 2D atomic Bose-Einstein condensates with spin-independent interactions in the presence of an isotropic spin-orbit coupling, showing that a rich physics results from the non-trivial interplay between spin-orbit coupling,…

Quantum Gases · Physics 2015-05-30 Subhasis Sinha , Rejish Nath , Luis Santos

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

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

We consider the quasi-2D two-component Bose-Einstein condensates with Rashba spin-orbit (SO) coupling in a rotating trap. An external Zeeman term favoring spin polarization along the radial direction is also considered, which has the same…

Quantum Gases · Physics 2012-04-27 Xiang-Fa Zhou , Jing Zhou , Congjun Wu

The state of a rotating Bose-Einstein condensate in a harmonic trap is modeled by a wave function that minimizes the Gross-Pitaevskii functional. The resulting minimization problem has two new features compared to other similar functionals…

Analysis of PDEs · Mathematics 2014-08-29 Ayman Kachmar

Single particle states in the atomic trap employing the rotating magnetic field are found using the full time-dependent instantaneous trapping potential. These states are compared with those of the effective time-averaged potential. We show…