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The structure and equilibrium properties of a two-dimensional system of superconducting vortices in a periodic pinning potential with square symmetry are studied numerically. For a range of the strength of the pinning potential, the…

Superconductivity · Physics 2009-11-07 Toby Joseph , Chandan Dasgupta

Vortices are topological defects associated with superfluids and superconductors, which, when mobile, dissipate energy destroying the dissipation-less nature of the superfluid. The nature of this "quantum dissipation" is rooted in the…

High Energy Physics - Theory · Physics 2023-05-10 Wei-Can Yang , Chuan-Yin Xia , Hua-Bi Zeng , Makoto Tsubota , Jan Zaanen

The asymptotic partition function for quantized Abelian Higgs vortices at high temperature $T$ is found to leading and subleading order, and from this the equation of state of the vortex gas is derived, including the first quantum…

High Energy Physics - Theory · Physics 2022-07-27 N. S. Manton

We demonstrate that the confinement of half-quantized vortices (HQVs) in coherently coupled Bose-Einstein condensates (BECs) simulates certain aspects of the confinement in $SU(2)$ quantum chromodynamics (QCD) in 2+1 space-time dimensions.…

Quantum Gases · Physics 2018-02-14 Minoru Eto , Muneto Nitta

We investigate quantum fluctuations of a vortex lattice in a one-dimensional optical lattice. Our method gives full access to all the modes of the vortex lattice and we discuss in particular the Bloch bands of the Tkachenko modes. Because…

Mesoscale and Nanoscale Physics · Physics 2014-11-17 Michiel Snoek , H. T. C. Stoof

Vortex-antivortex pairs in 2D easy-plane ferromagnets have characteristics of solitons in two dimensions. We investigate numerically and analytically the dynamics of such vortex pairs. In particular we simulate numerically the head-on…

Condensed Matter · Physics 2009-11-07 A. S. Kovalev , S. Komineas , F. G. Mertens

In the background of the strong magnetic field the vacuum is suggested to possess an electromagnetically superconducting phase characterised by the emergence of inhomogeneous quark-antiquark vector condensates which carry quantum numbers of…

High Energy Physics - Lattice · Physics 2013-01-29 V. V. Braguta , P. V. Buividovich , M. N. Chernodub , A. Yu. Kotov , M. I. Polikarpov

We present a scheme for the construction of quantum states of vortex like topological excitations corresponding to spin- 1/2 strongly XY anisotropic nearest neighbor Heisenberg Ferromagnet on two dimensional lattice. The procedure involving…

Strongly Correlated Electrons · Physics 2016-06-15 Subhajit Sarkar , Ranjan Chaudhury , Samir K. Paul

We establish the general equations of motion for the modes of a vortex lattice in a rapidly rotating Bose-Einstein condensate in three dimensions, taking into account the elastic energy of the lattice and the vortex line bending energy. As…

Soft Condensed Matter · Physics 2009-11-10 S. Andrew Gifford , Gordon Baym

It has been observed empirically that two dimensional vortices tend to cluster forming a giant vortex. To account for this observation Onsager introduced a concept of negative absolute temperature in equilibrium statistical mechanics. In…

Statistical Mechanics · Physics 2018-07-17 Renato Pakter , Yan Levin

We numerically study the dynamics of vortex lattice formation in a rotating cigar-shaped Bose-Einstein condensate. The study is a three-dimensional simulation of the Gross-Pitaevskii equation with a phenomenological dissipation term. The…

Other Condensed Matter · Physics 2009-11-11 Kenichi Kasamatsu , Masahiko Machida , Narimasa Sasa , Makoto Tsubota

The fluctuations of the vortex density in a turbulent quantum fluid are deduced from local second-sound attenuation measurements. These measurements are performed with a micromachined open-cavity resonator inserted across a flow of…

In this paper we propose a comprehensive framework for the quantum hydrodynamics of the Fractional Quantum Hall (FQH) states. We suggest that the electronic fluid in the FQH regime could be phenomenologically described by the quantized…

Strongly Correlated Electrons · Physics 2015-06-16 P. Wiegmann

In two spatial dimensions, vortex-vortex interactions approximately vary with the logarithm of the inter-vortex distance, making it possible to describe an ensemble of vortices as a Coulomb gas. We introduce a duality between vortices in a…

Quantum Gases · Physics 2025-02-28 Seong-Ho Shinn , Adolfo del Campo

By utilizing the AdS/CFT correspondence, we explore the dynamics of strongly coupled superfluid vortices in a disk with constant angular velocity. Each vortex in the vortex lattice is quantized with vorticity one from the direct inspection…

High Energy Physics - Theory · Physics 2019-09-18 Chuan-Yin Xia , Hua-Bi Zeng , Hai-Qing Zhang , Zhang-Yu Nie , Yu Tian , Xin Li

Quantum dynamics of a vortex pair is investigated by considering the pair Hamiltonian within various, unequivalent algebraic frameworks. First the vortex pair spectrum is constructed in the standard contest of the e(2)-like dynamical…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. Penna

Using density functional theory, we have theoretically studied the formation and the stability of vortices in quantum liquid droplets composed of a mixture of hyperfine states of potassium. Following the experimental setup that produced…

Quantum Gases · Physics 2025-11-17 Ivan Poparić , Leandra Vranješ Markić , Jordi Boronat

In this review, we discuss various properties of topological solitons in dense QCD matter, with a particular emphasis on the CFL phase exhibiting superfluidity and superconductivity, and their phenomenological implications in terms of the…

High Energy Physics - Phenomenology · Physics 2014-02-04 Minoru Eto , Yuji Hirono , Muneto Nitta , Shigehiro Yasui

Vortex nucleation in a Bose-Einstein condensate subject to a stirring potential is studied numerically using the zero-temperature, two-dimensional Gross-Pitaevskii equation. It is found that this theory is able to describe the creation of…

Condensed Matter · Physics 2009-11-07 Emil Lundh , J. -P. Martikainen , Kalle-Antti Suominen

Coherent Quantum Phase Slip consists in the coherent transfer of vortices in superfluids. We investigate this phenomenon in two miscible coherently coupled components of a spinor Bose gas confined in a toroidal trap. After imprinting…

Quantum Gases · Physics 2016-03-21 A. Gallemí , A. Muñoz Mateo , R. Mayol , M. Guilleumas
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