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We consider a Bose-Einstein condensate subject to a rotating harmonic potential, in connection with recent experiments leading to the formation of vortices. We use the classical hydrodynamic approximation to the non-linear Schr\"odinger…

Soft Condensed Matter · Physics 2016-08-31 Subhasis Sinha , Yvan Castin

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 study the non-equilibrium evolution of binary Bose-Einstein condensates in the presence of weak random potential with a Gaussian correlation function using the time-dependent perturbation theory. We apply this theory to construct a…

Disordered Systems and Neural Networks · Physics 2021-12-28 Abdelaali Boudjemaa

We investigate how Bose-Einstein condensates, whose initial state is either irrotational or contains a single vortex, scatter off a one-dimensional Gaussian potential barrier. We find that for low atom densities the vortex structure within…

Other Condensed Matter · Physics 2009-11-11 A. M. Martin , R. G. Scott , T. M. Fromhold

We study the collision of two Bose-Einstein condensates with pure dipolar interaction. A stationary pure dipolar condensate is known to be stable when the atom number is below a critical value. However, collapse can occur during the…

Statistical Mechanics · Physics 2009-10-12 B. Sun , M. S. Pindzola

We use the Gross-Pitaevskii equation to study Josephson tunneling between two weakly coupled Bose-Einstein condensates, which compose spin-1 bosons. We show that a rotating magnetic field on one side can produce a phase difference across…

Quantum Gases · Physics 2024-01-19 Yilin Liu , Zi-Jian Li , Jiadu Lin , Qing-Dong Jiang

We create and study persistent currents in a toroidal two-component Bose gas, consisting of $^{87}$Rb atoms in two different spin states. For a large spin-population imbalance we observe supercurrents persisting for over two minutes.…

Quantum Gases · Physics 2013-01-15 Scott Beattie , Stuart Moulder , Richard J. Fletcher , Zoran Hadzibabic

Magnetic monopoles, that are particle-like field configurations with which one can associate a topological charge, widely exist in various three dimensional condensate systems. In this paper, by making use of \emph{Duan}'s topological…

Superconductivity · Physics 2008-08-08 Shu-Fan Mo , Ji-Rong Ren , Tao Zhu

In this work, we discuss the Landau's criterion for anisotropic superfluidity. To this end, we consider a point-like impurity moving in a uniform Bose-Einstein condensate with either interparticle dipole-dipole interaction or Raman induced…

Quantum Gases · Physics 2017-03-22 Zeng-Qiang Yu

In this article, we study the existence and asymptotic properties of prescribed mass standing waves for the rotating dipolar Gross-Pitaevskii equation with a harmonic potential in the unstable regime. This equation arises as an effective…

Analysis of PDEs · Mathematics 2024-12-16 Meng-Hui Wu , Shubin Yu , Chun-Lei Tang

The emergence of a finite staggered magnetization in quantum Heisenberg antiferromagnets subject to a uniform magnetic field can be viewed as Bose-Einstein condensation of magnons. Using non-perturbative results for the infrared behavior of…

Statistical Mechanics · Physics 2007-05-23 Andreas Kreisel , Nils Hasselmann , Peter Kopietz

Stability of dark solitons generated by a supersonic flow of Bose-Einstein condensate past an obstacle is investigated. It is shown that in the reference frame attached to the obstacle a transition occurs at some critical value of the flow…

Other Condensed Matter · Physics 2009-11-13 A. M. Kamchatnov , L. P. Pitaevskii

We explore routes to realize electrically driven Bose-Einstein condensation of magnons in insulating antiferromagnets. Even in insulating antiferromagnets, the localized spins can strongly couple to itinerant spins in adjacent metals via…

Mesoscale and Nanoscale Physics · Physics 2017-04-19 Eirik Løhaugen Fjærbu , Niklas Rohling , Arne Brataas

We investigate the spin tunnelling of spin-1 Bose-Einstein condensates in a linearly sweeping magnetic field with a mean-field treatment. We focus on the two typical alkali Bose atoms $^{87}Rb$ and $^{23}Na$ condensates and study their…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Guan-Fang Wang , Li-Bin Fu , Jie Liu

We study the quantum dynamics of a spin-orbit (SO) coupled Bose-Einstein condensate (BEC) in a double-well potential inspired by the experimental protocol recently developed by NIST group. We focus on the regime where the number of atoms is…

Quantum Gases · Physics 2015-06-19 Roberta Citro , Adele Naddeo

By developing a hydrodynamic formalism, we investigate the expansion dynamics of the single-minimum phase of a binary spin-orbit coupled Bose-Einstein condensate, after releasing from an external harmonic trap. We find that the expansion of…

Quantum Gases · Physics 2017-09-01 Chunlei Qu , Lev P. Pitaevskii , Sandro Stringari

We investigate the dynamics of a Bose-Einstein condensate in the presence of a random potential created by optical speckles. We first consider the effect of a weak disorder on the dipole and quadrupole collective oscillations, finding…

Disordered Systems and Neural Networks · Physics 2009-11-11 Michele Modugno

We propose an analytical method to study the entangled spatial and spin dynamics of interacting bimodal Bose-Einstein condensates. We show that at particular times during the evolution spatial and spin dynamics disentangle and the spin…

Quantum Physics · Physics 2009-11-13 Yun Li , Philipp Treutlein , Jakob Reichel , Alice Sinatra

Vortices in a Bose-Einstein condensate are modelled as spontaneously symmetry breaking minimum energy solutions of the time dependent Gross-Pitaevskii equation, using the method of constrained optimization. In a non-rotating axially…

Quantum Gases · Physics 2021-08-09 Julien Garaud , Jin Dai , Antti J. Niemi

We present studies of the time-evolution of a two-component system of Bose-Einstein condensates (BEC) in the |F=1, mf=-1> and |2,1> spin states of Rb-87. The two condensates are created with a well-defined relative phase and complete…

Condensed Matter · Physics 2009-10-31 D. S. Hall , M. R. Matthews , J. R. Ensher , C. E. Wieman , E. A. Cornell