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In two dimensions the microscopic theory, which provides a basis for the naive analogy between a quantized vortex in a superfluid and an electron in an uniform magnetic field, is presented. A one-to-one correspondence between the rotational…

Condensed Matter · Physics 2007-05-23 Jian-Ming Tang

Topology in momentum space is the main characteristics of the ground states of a system at zero temperature, the quantum vacua. The gaplessness of fermions in bulk, on the surface or inside the vortex core is protected by topology.…

High Energy Physics - Phenomenology · Physics 2013-08-30 G. E. Volovik

We propose a definition of vorticity at inverse temperature \beta for Gibbs states in quantum XY spin systems on the lattice by testing \exp[-\beta H] on a complete set of observables ("one-point functions"). We show in particular that it…

Mathematical Physics · Physics 2015-04-07 Dimitri Minenkov , Michel Rouleux

We determine the detailed thermodynamic behavior of vortices in the O(2) scalar model in 2D and of global monopoles in the O(3) model in 3D. We construct new numerical techniques, based on cluster decomposition algorithms, to analyze the…

Condensed Matter · Physics 2010-01-15 Nuno D. Antunes , Luis M. Bettencourt , Martin Kunz

We investigate analytically the thermodynamical stability of vortices in the ground state of rotating 2-dimensional Bose-Einstein condensates confined in asymptotically homogeneous trapping potentials in the Thomas-Fermi regime. Our…

Mathematical Physics · Physics 2014-04-18 Tanja Rindler-Daller

The Gross-Pitaevskii equation is widely used for vortex dynamics, but finite domains with hard walls or confining potentials distort bulk behavior through vortex-image effects or induced flows. Periodic boundaries reduce wall artifacts yet…

Quantum Gases · Physics 2026-01-06 Fabio Magistrelli , Marco Antonelli

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 describe the excitations of a vortex lattice in rapidly rotating trapped Bose-Einstein Condensates, focusing on their evolution from the hydrodynamic to the quantum Hall regimes. We observe the dramatic changes and show that single…

Soft Condensed Matter · Physics 2007-05-23 L. O. Baksmaty , S. J. Woo , S. Choi , N. P. Bigelow

Scroll waves exist ubiquitously in three-dimensional excitable media. It's rotation center can be regarded as a topological object called vortex filament. In three-dimensional space, the vortex filaments usually form closed loops, and even…

Pattern Formation and Solitons · Physics 2008-11-07 Ji-Rong Ren , Tao Zhu , Yi-Shi Duan

The one-loop energy density of an infinitely thin static magnetic vortex in SU(2) Yang-Mills theory is evaluated using the Schroedinger picture. Both the gluonic fluctuations as well as the quarks in the vortex background are included. The…

High Energy Physics - Theory · Physics 2009-11-10 J. D. Laenge , M. Engelhardt , H. Reinhardt

We study analytically and numerically stability and interaction patterns of quantized vortex lattices governed by the reduced dynamical law -- a system of ordinary differential equations (ODEs) -- in superconductivity. By deriving several…

Classical Analysis and ODEs · Mathematics 2021-10-26 Zhiguo Xu , Weizhu Bao , Shaoyun Shi

We associate a flow $\phi$ to a solution of the vortex equations on a closed oriented Riemannian 2-manifold $(M,g)$ of negative Euler characteristic and investigate its properties. We show that $\phi$ always admits a dominated splitting and…

Differential Geometry · Mathematics 2024-10-22 Thomas Mettler , Gabriel P. Paternain

We consider superfluidity and quantum vorticity in rotating spacetimes. The system is described by a complex scalar satisfying a nonlinear Klein-Gordon equation. Rotation terms are identified and found to lead to the transfer of angular…

General Relativity and Quantum Cosmology · Physics 2016-11-11 Michael R. R. Good , Chi Xiong , Alvin J. K. Chua , Kerson Huang

In a numerical investigation, we demonstrate the existence and curious evolution of vortices in a ladder-type three-level nonlinear atomic vapor with linear, cubic, and quintic susceptibilities considered simultaneously with the dressing…

Pattern Formation and Solitons · Physics 2012-11-07 Yiqi Zhang , Zhenkun Wu , Chenzhi Yuan , Xin Yao , Keqing Lu , Milivoj Belić , Yanpeng Zhang

Physical configurations corresponding to topological excitations present in the XY limit of a quantum spin 1/2 Heisenberg ferromagnet, are investigated on a two dimensional square lattice. Quantum vortices(anti-vortices) are constructed in…

Statistical Mechanics · Physics 2007-05-23 Ranjan Chaudhury , Samir K. Paul

The classical dynamics and the construction of quantum states in a plane wave curved spacetime are examined, paying particular attention to the similarities with the case of an electromagnetic plane wave in flat spacetime. A natural map…

General Relativity and Quantum Cosmology · Physics 2024-06-28 Giulio Audagnotto , Antonino Di Piazza

The understanding of turbulent flows is one of the biggest current challenges in physics, as no first-principles theory exists to explain their observed spatio-temporal intermittency. Turbulent flows may be regarded as an intricate…

Fluid Dynamics · Physics 2021-12-08 Juan Ignacio Polanco , Nicolás P. Müller , Giorgio Krstulovic

The magnetic response is a state-defining property of superconductors. The magnetic flux penetrates type-II bulk superconductors by forming quantum vortices when the enclosed magnetic flux is equal to the magnetic flux quantum. The flux…

Superconductivity · Physics 2023-06-06 Yusuke Iguchi , Ruby Shi , Kunihiro Kihou , Chul-Ho Lee , Vadim Grinenko , Egor Babaev , Kathryn A. Moler

Recent experiments and realistic flux-gradient-driven computer simulations provide evidence of plastic flow of flux lines in a superconductor. The striking videos of the onset of vortex motion vividly illustrate the existence of flowing…

Superconductivity · Physics 2009-10-30 Franco Nori

We investigate the phenomenon of the diffraction of charged particles by thin material targets using the method of the de Broglie-Bohm quantum trajectories. The particle wave function can be modeled as a sum of two terms…

Quantum Physics · Physics 2016-12-21 N. Delis , C. Efthymiopoulos , G. Contopoulos
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