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We consider nonlinear boson states with a nontrivial phase structure in the three-site Bose-Hubbard ring, {\em quantum discrete vortices} (or {\em q-vortices}), and study their "melting" under the action of quantum fluctuations. We…

Other Condensed Matter · Physics 2007-05-23 Chaohong Lee , Tristram J. Alexander , Yuri S. Kivshar

In the framework of elastic theory, we study the vortex-lattice melting transitions in magnesium diboride for magnetic fields both parallel and perpendicular to the anisotropy axis. Using the parameters from experiments, the vortex-lattice…

Superconductivity · Physics 2015-05-13 Qing-Miao Nie , Jian-Ping Lv , Qing-Hu Chen

We directly image Tkachenko waves in a vortex lattice in a dilute-gas Bose-Einstein condensate. The low (sub-Hz) resonant frequencies are a consequence of the small but nonvanishing elastic shear modulus of the vortex-filled superfluid. The…

Soft Condensed Matter · Physics 2009-03-24 I. Coddington , P. Engels , V. Schweikhard , E. A. Cornell

We propose a phenomenological equation for the vortex line density in rotating Bose-Einstein condensates as a function of the angular speed. This equation provides a simple description of the gross features of the increase in vortex number…

Other Condensed Matter · Physics 2007-12-12 Michele Sciacca , David Jou , Maria Stella Mongioví

The surface mode spectrum is computed self-consistently for dilute Bose-Einstein condensates, providing the temperature dependence of the surface mode induced vortex nucleation frequency. Both the thermodynamic critical frequency for vortex…

Soft Condensed Matter · Physics 2008-07-10 T. P. Simula , S. M. M. Virtanen , M. M. Salomaa

We study the melting transition of the low-temperature vortex solid in strongly anisotropic layered superconductors with a concentration of random columnar pinning centers small enough so that the areal density of the pins is much less than…

Superconductivity · Physics 2009-11-10 Chandan Dasgupta , Oriol T. Valls

The mechanism of the flux-line-lattice (FLL) melting in anisotropic high-T_c superconductors in ${\bf B}\parallel {\bf \hat{c}}$ is clarified by Monte Carlo simulations of the 3D frustrated XY model. The percentage of entangled flux lines…

Superconductivity · Physics 2009-10-31 Yoshihiko Nonomura , Xiao Hu , Masashi Tachiki

A striking property of a single-component superfluid under rotation, is that a broken symmetry in the order parameter results in a broken translational symmetry, a vortex lattice. If translational symmetry is restored, the phase of the…

Statistical Mechanics · Physics 2008-12-19 E. K. Dahl , E. Babaev , A. Sudbo

We calculate explicitly the variation $\delta T_c$ of the Bose-Einstein condensation temperature $T_c$ induced by weak repulsive two-body interactions to leading order in the interaction strength. As shown earlier by general arguments,…

Statistical Mechanics · Physics 2009-10-31 Gordon Baym , Jean-Paul Blaizot , Jean Zinn-Justin

The state of the vortex lattice extremely close to the superconducting to normal transition in an applied magnetic field is investigated in high purity niobium. We observe that thermal fluctuations of the order parameter broaden the…

Superconductivity · Physics 2010-10-15 C. J. Bowell , R. J. Lycett , M. Laver , C. D. Dewhurst , R. Cubitt , E. M. Forgan

The dynamics of quantized vortices in rotating $^3$He-B is investigated in the low density (single-vortex) regime as a function of temperature. An abrupt transition is observed at $0.5 T_{\rm c}$. Above this temperature the number of vortex…

Soft Condensed Matter · Physics 2007-05-23 A. P. Finne , V. B. Eltsov , G. Eska , R. Hanninen , J. Kopu , M. Krusius , E. V. Thuneberg , M. Tsubota

We analyse the finite-temperature phase diagram of a dipolar Bose Einstein Condensate confined in a tubular geometry. The effect of thermal fluctuations is accounted for by means of Bogoliubov theory employing the local density…

Quantum Gases · Physics 2024-02-05 Juan Sánchez-Baena , Thomas Pohl , Fabian Maucher

We study a harmonically-confined Bose-Einstein condensate under rotation. Vortex lattice configurations are investigated through a variational approach. Vortices with more than a unit of angular momentum are not stable. We explicitly show…

Condensed Matter · Physics 2009-11-07 V. Subrahmanyam

We propose a scheme for generating two-dimensional turbulence in harmonically trapped atomic condensates with the novelty of controlling the polarization (net rotation) of the turbulence. Our scheme is based on an initial giant…

Quantum Gases · Physics 2016-04-06 A. Cidrim , F. E. A. dos Santos , L. Galantucci , V. S. Bagnato , C. F. Barenghi

We show that the vortex dynamics in Fermi superfluids at ultra-low temperatures is governed by the local heating of the vortex cores creating the heat flux carried by non-equilibrium quasiparticles emitted by moving vortices. This mechanism…

Other Condensed Matter · Physics 2015-05-30 Mihail A. Silaev

We calculate the melting line of the pancake-vortex system in a layered superconductor, interpolating between two-dimensional (2D) melting at high fields and the zero-field limit of single-stack evaporation. Long-range interactions between…

Superconductivity · Physics 2009-10-31 M. J. W. Dodgson , A. E. Koshelev , V. B. Geshkenbein , G. Blatter

The superfluid -- Mott insulator phase transition in a Bose-Einstein condensate of neutral atoms with doubly degenerate internal ground states in an optical lattice is theoretically investigated. The optical lattice is created by two…

Condensed Matter · Physics 2009-11-10 K. V. Krutitsky , R. Graham

We investigate the dynamics of doubly charged vortices generated in dilute Bose-Einstein condensates by using the topological phase imprinting technique. We find splitting times of such vortices and show that thermal atoms are responsible…

Other Condensed Matter · Physics 2008-09-19 K. Gawryluk , T. Karpiuk , M. Brewczyk , K. Rzazewski

Releasing shell-shaped Bose-Einstein condensates from their confinement produces a spherically symmetric density distribution characterized by concentric ripples surrounding a central peak. Here we investigate how a vortex-antivortex dipole…

Quantum Gases · Physics 2026-04-23 A. Tononi

We study the long-time decay of rotating turbulence in Bose-Einstein condensates (BECs). We consider the Gross-Pitaevskii equation in a rotating frame of reference, and review different formulations for the Hamiltonian of a rotating BEC. We…

Quantum Gases · Physics 2024-05-17 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni