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The dynamics of a coupled Bose-Einstein condensate involving trapped atoms in two quantum states is studied using the time-dependent Gross-Pitaevskii equation including an interaction which can transform atoms from one state to the other.…

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

We predict solitary vortices in quasi-planar condensates of dipolar atoms, polarized parallel to the confinement direction, with the effective sign of the dipole-dipole interaction inverted by means of a rapidly rotating field. Energy…

Other Condensed Matter · Physics 2009-11-13 I. Tikhonenkov , B. A. Malomed , A. Vardi

Considering a moving vortex line in a dilute atomic Bose-Einstein condensate within time-dependent Hartree-Fock-Bogoliubov-Popov theory, we derive a criterion for the quasiparticle excitations to follow the vortex core rigidly. The…

Statistical Mechanics · Physics 2009-11-07 S. M. M. Virtanen , T. P. Simula , M. M. Salomaa

We present vortex solutions for the homogeneous two-dimensional Bose-Einstein condensate featuring dipolar atomic interactions, mapped out as a function of the dipolar interaction strength (relative to the contact interactions) and…

Quantum Gases · Physics 2014-11-19 B. C. Mulkerin , D. H. J. O'Dell , A. M. Martin , N. G. Parker

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 study the vortex nucleation in a finite Bose-Einstein condensate. Using a set of non-local and chiral boundary conditions to solve the Schr$\ddot{o}$dinger equation of non-interacting bosons in a rotating trap, we obtain a quantitative…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Eric Akkermans , Sankalpa Ghosh

We investigate the stability and critical velocity of a weakly interacting Bose gas flowing in a random potential. By applying the Bogoliubov theory to a disordered Bose system with a steady flow, the condensate density and the superfluid…

Quantum Gases · Physics 2017-11-22 Taiki Haga

The properties of the superfluid phase of ultra cold bosonic atoms loaded in a circular array are investigated in the framework of the Bose-Hubbard model and the Bogoliubov theory. We derive and solve the Gross-Pitaevskii equation of the…

Quantum Gases · Physics 2009-09-07 E. T. D. Matsushita , E. J. V. de Passos

The vortex configurations in the Bose-Einstein condensate of the mixture of two different spin states |F=1,m_f=-1> and |2,1> of ^{87}Rb atoms corresponding to the recent experiments by Matthews et. al. (Phys. Rev. Lett. 83, 2498 (1999)) are…

Statistical Mechanics · Physics 2009-10-31 S. T. Chui , V. N. Ryzhov , E. E. Tareyeva

This study aims to research on dynamics of two quantized vortices in miscible two-component Bose--Einstein condensates, trapped by a circular box potential by using the Gross--Pitaevskii equation. We consider a situation in which two…

Quantum Gases · Physics 2022-01-26 Junsik Han , Kenichi Kasamatsu , Makoto Tsubota

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 vortex lattice structures of a trapped Bose-Einstein condensate in a rotating lattice potential by numerically solving the time-dependent Gross-Pitaevskii equation. By rotating the lattice potential, we observe the transition from…

Other Condensed Matter · Physics 2009-11-11 T. Sato , T. Ishiyama , T. Nikuni

Quantum fluctuations of Bose-Einstein condensates trapped in disordered lattices are studied by inhomogeneous Bogoliubov theory. Weak-disorder perturbation theory is applied to compute the elastic scattering rate as well as the renormalized…

Quantum Gases · Physics 2013-03-15 Christopher Gaul , Cord A. Müller

When Bose-Eintein condensates are rotated sufficiently fast, a giant vortex phase appears, that is the condensate becomes annular with no vortices in the bulk but a macroscopic phase circulation around the central hole. In a former paper…

Mathematical Physics · Physics 2015-05-19 Nicolas Rougerie

We explore the dynamical stabilities of a quasi-one dimensional (1D) Bose-Einstein condensate (BEC) consisting of fixed $N$ atoms with time-independent external potential. For the stationary states with zero flow density the general…

Quantum Physics · Physics 2009-11-13 Wenhua Hai , Guishu Chong , Jianwen Song

Stabilized by quantum fluctuations, dipolar Bose-Einstein condensates can form self-bound liquidlike droplets in the mean-field unstable regime. However in the Bogoliubov theory, some phonon energies are imaginary in the long-wavelength…

Quantum Gases · Physics 2022-06-07 Fan Zhang , Lan Yin

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 generation of vortices in rotating Bose--Einstein condensates, a situation which has been realized in a recent experiment (K. W. Madison, F. Chevy, W. Wohlleben, J. Dalibard, Phys. Rev. Lett. {\bf 84} 806 (2000)). By combining…

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

Quantum turbulence indicators in dipolar Bose-Einstein condensed fluids, following emissions of vortex-antivortex pairs generated by a circularly moving detuned laser, are being provided by numerical simulations of the corresponding…

Quantum Gases · Physics 2024-01-18 S. Sabari , R. Kishor Kumar , Lauro Tomio

We consider a Bose-Einstein condensate, which is confined in a very tight toroidal/annular trap, in the presence of a potential, which breaks the axial symmetry of the Hamiltonian. We investigate the stationary states of the condensate,…