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We discuss the feasibility of quantum Hall states of vortices in trapped low-density two-dimensional Bose gases with large particle interactions. For interaction strengths larger than a critical dimensionless 2D coupling constant $g_c…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Uwe R. Fischer , Petr O. Fedichev , Alessio Recati

We consider ground states of rotating Bose-Einstein condensates with attractive interactions in non-radially harmonic traps $V(x)=x_1^2+\Lambda ^2x_2^2 $, where $0<\Lambda \not =1$ and $x=(x_1, x_2)\in R^2$. For any fixed rotational…

Analysis of PDEs · Mathematics 2022-12-27 Yujin Guo

We present the exact diagonalization study of rotating Bose-condensed gas interacting via finite-range Gaussian potential confined in a quasi-2D harmonic trap. The system of many-body Hamiltonian matrix is diagonalized in given subspaces of…

Quantum Gases · Physics 2023-07-19 Mohd. Imran , M. A. H. Ahsan

Low-dimensional organic conductors could establish themselves as model systems for the investigation of the physics in reduced dimensions. In the metallic state of a one-dimensional solid, Fermi-liquid theory breaks down and spin and charge…

Strongly Correlated Electrons · Physics 2007-11-08 Martin Dressel

In this short review we present our recent results concerning the rotation of atomic Bose-Einstein condensates confined in quadratic or quartic potentials, and give an overview of the field. We first describe the procedure used to set an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sabine Stock , Baptiste Battelier , Vincent Bretin , Zoran Hadzibabic , Jean Dalibard

Driven vortex lattices have been studied in a material with strong pinning, such as Nb films. Samples in which natural random pinning coexists with artificial ordered arrays of defects (submicrometric Ni dots) have been fabricated with…

Superconductivity · Physics 2009-11-07 M. Velez , D. Jaque , J. I. Martin , F. Guinea , J. L. Vicent

Motivated by recent experiments on Bose-Einstein condensed atoms which rotate in annular/toroidal traps we study the effect of the finiteness of the atom number $N$ on the states of lowest energy for a fixed expectation value of the angular…

Quantum Gases · Physics 2017-03-08 A. Roussou , J. Smyrnakis , M. Magiropoulos , Nikolaos K. Efremidis , G. M. Kavoulakis

We report structural evidence of dynamic reorganization in vortex matter in clean NbSe$_2$ by joint small angle neutron scattering and ac-susceptibility measurements. The application of oscillatory forces in a transitional region near the…

Superconductivity · Physics 2015-08-12 M. Marziali Bermúdez , M. R. Eskildsen , M. Bartkowiak , G. Nagy , V. Bekeris , G. Pasquini

A two-dimensional lattice gas model is proposed. The ground state of this model with a fixed density is neither periodic nor quasi-periodic. It also depends on system size in an irregular manner. On the other hand, it is ordered in the…

Statistical Mechanics · Physics 2015-05-19 Shin-ichi Sasa

In a rotating two-component Bose-Einstein condensate (BEC), the traditional triangular vortex lattice can be replaced by a rectangular vortex lattice or even a structure characterized in terms of vortex sheets, depending on the interspecies…

Other Condensed Matter · Physics 2008-01-23 S. J. Woo , S. Choi , L. O. Baksmaty , N. P. Bigelow

Optomechanical pattern forming instabilities in a cloud of cold atoms lead to self-organized spatial structures of light and atoms. Here, we consider the optomechanical self-structuring of a cold atomic cloud in the presence of a phase…

Atomic Physics · Physics 2020-05-13 Giuseppe Baio , Gordon R. M. Robb , Alison M. Yao , Gian-Luca Oppo

In an isolated ideal Bose system with a fixed energy, the number of microstates depends solely on the configurations of bosons in excited states, implying zero entropy for particles in the ground state. When two such systems merge, the…

Statistical Mechanics · Physics 2025-07-01 Q. H. Liu

The atom optics of Bose-Einstein condensates containing a vortex of circulation one is discussed. We first analyze in detail the reflection of such a condensate falling on an atomic mirror. In a second part, we consider a rotating…

Soft Condensed Matter · Physics 2007-05-23 I. Josopait , L. Dobrek , L. Santos , A. Sanpera , M. Lewenstein

When two Bose-Einstein condensates (BEC's) collide with high collisional energy, the celebrated matter wave interference pattern results. For lower collisional energies the repulsive interaction energy becomes significant, and the…

Other Condensed Matter · Physics 2009-03-19 Itay Shomroni , Elias Lahoud , Shahar Levy , Jeff Steinhauer

Using a focused laser beam we stir a $^{87}$Rb Bose-Einstein condensate confined in a magnetic trap. We observe that the steady states of the condensate correspond to an elliptic cloud, stationary in the rotating frame. These steady states…

Statistical Mechanics · Physics 2009-11-07 K. W. Madison , F. Chevy , V. Bretin , J. Dalibard

We study the rotational properties of a Bose-Einstein condensate confined in a rotating harmonic trap for different trap anisotropies. Using simple arguments, we derive expressions for the velocity field of the quantum fluid for condensates…

Statistical Mechanics · Physics 2007-05-23 J. J. Garcia-Ripoll , V. M. Perez-Garcia

We study the quadrupole oscillation of a Bose-Einstein condensate of $^{87}$Rb atoms confined in an axisymmetric magnetic trap, after it has been stirred by an auxiliary laser beam. The stirring may lead to the nucleation of one or more…

Soft Condensed Matter · Physics 2009-02-12 F. Chevy , K. Madison , J. Dalibard

We study the rotation of atoms in one-dimensional lattice rings. In particular, the "fast mode", where the ground state atoms rotate faster than the stirring rotating the atoms, is studied both analytically and numerically. The conditions…

Quantum Physics · Physics 2009-11-13 T. Wang , S. F. Yelin

We study a square plaquette of four optical microtraps containing ultracold $^{87}$Rb atoms in F=1 hyperfine state. In a presence of external resonant magnetic field the dipolar interactions couple initial $m_F=1$ component to other Zeeman…

Quantum Gases · Physics 2012-01-31 Tomasz Świsłocki , Tomasz Sowiński , Mirosław Brewczyk , Mariusz Gajda

The production of quantized vortices having diverse structures is a remarkable effect of rotating Bose-Einstein condensates. Vortex formation described by the mean-field theory is valid only in the regime of weak interactions. The…

Quantum Gases · Physics 2022-04-06 Budhaditya Chatterjee
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