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We derive an analytic expression for the phase of a quantum vortex in a dipolar Bose-Einstein condensate, capturing anisotropic effects from long-range dipole-dipole interactions. This solution provides a foundation for a dipolar point…

Quantum Gases · Physics 2025-10-28 Ryan Doran , Thomas Bland

We study the asymptotic interaction between two half-quantized vortices in two-component Bose-Einstein condensates. When two vortices in different components are placed at distance 2R, the leading order of the force between them is found to…

Quantum Gases · Physics 2011-06-08 Minoru Eto , Kenichi Kasamatsu , Muneto Nitta , Hiromitsu Takeuchi , Makoto Tsubota

We consider the classical dynamics of a particle in a $d=2,3$-dimensional space-periodic potential under the influence of time-periodic external fields with zero mean. We perform a general time-space symmetry analysis and identify…

Statistical Mechanics · Physics 2009-07-02 S. Denisov , Y. Zolotaryuk , S. Flach , O. Yevtushenko

Diffusion-coagulation can be simply described by a dynamic where particles perform a random walk on a lattice and coalesce with probability unity when meeting on the same site. Such processes display non-equilibrium properties with strong…

Statistical Mechanics · Physics 2018-03-13 L. Turban , J. -Y. Fortin

We study the dynamics of vortices in an asymmetric ring channel driven by an external current I in a Corbino setup. The asymmetric potential can rectify the motion of vortices and cause a net flow without any unbiased external drive, which…

Superconductivity · Physics 2011-10-10 N. S. Lin , T. W. Heitmann , K. Yu , B. L. T. Plourde , V. R. Misko

We address the challenging proposition of using real experimental parameters in a three-dimensional numerical simulation of fast rotating Bose-Einstein condensates. We simulate recent experiments [V. Bretin, S. Stock, Y. Seurin and J.…

Superconductivity · Physics 2009-11-11 Ionut Danaila

In the present work, we calculate the conductance through a single quantum dot weakly coupled to metallic contacts. We use the spin-1/2 Anderson model to describe the quantum dot, while considering a finite Coulomb repulsion. We solve the…

Strongly Correlated Electrons · Physics 2015-05-19 Leandro Tosi , Pablo Roura-Bas , Ana Maria Llois , Luis O. Manuel

We present a model of center vortices, represented by closed random lines in continuous 2+1- dimensional space- time. These random lines are modeled as being piece-wise linear and an ensemble is generated by Monte Carlo methods. The…

High Energy Physics - Lattice · Physics 2014-11-27 Roman Höllwieser , Derar Altarawneh , Michael Engelhardt

We investigate the dynamics of quantum vortex dipoles in a strongly interacting, spin-imbalanced Fermi superfluid at zero temperature. Using fully microscopic time-dependent density functional theory, we demonstrate that the dipole…

Quantum Gases · Physics 2025-11-05 Andrea Barresi , Piotr Magierski , Gabriel Wlazłowski

In the turbulent boundary layer above a flat plate, the velocity profile is known to have the form v=v_0[(1/\kappa) ln z + constant]. The distance from the wall in dimensionless units is z and v_0 is an uniquely defined velocity scale. The…

Statistical Mechanics · Physics 2021-05-26 Amit Kr. Chattopadhyay , Jayanta K. Bhattacharjee

The venerable 2D point-vortex model plays an important role as a simplified version of many disparate physical systems, including superfluids, Bose-Einstein condensates, certain plasma configurations, and inviscid turbulence. This system is…

Chaotic Dynamics · Physics 2013-05-29 Spencer A. Smith , Bruce M. Boghosian

We consider the reconnection of two untwisted, linked quantised vortex rings in a Bose-Einstein condensate. We show that the reconnection is capable of transferring helicity, from the links present in the initial configuration, to a…

Fluid Dynamics · Physics 2014-04-01 Andrew W. Baggaley

It is shown that the geometry of quantum theory can be derived from geometrical structure that may be considered more fundamental. The basic elements of this reconstruction of quantum theory are the natural metric on the space of…

Quantum Physics · Physics 2015-06-18 Marcel Reginatto

We use Monte Carlo simulations of the 2D one component Coulomb gas on a triangular lattice, to study the depinning transition of a 2D vortex lattice in a commensurate periodic potential. A detailed finite size scaling analysis indicates…

Superconductivity · Physics 2009-10-31 Violeta Gotcheva , S. Teitel

We analyze the motion of quantum vortices in a two-dimensional spinless superfluid within Popov's hydrodynamic description. In the long healing length limit (where a large number of particles are inside the vortex core) the superfluid…

Quantum Gases · Physics 2015-06-19 A. Klein , O. Agam , I. Aleiner

The physical origin of mutual friction in quantum fluids is deeply connected to the fundamental nature of superfluidity. It stems from the interaction between the superfluid and normal components, mediated by the dynamics of quantized…

It has been conjectured that transport in integrable one-dimensional (1D) systems is necessarily ballistic. The large diffusive response seen experimentally in nearly ideal realizations of the S=1/2 1D Heisenberg model is therefore puzzling…

Strongly Correlated Electrons · Physics 2010-12-01 J. Sirker , R. G. Pereira , I. Affleck

Two-dimensional arrays of nonlinear electric oscillators are considered theoretically, where nearest neighbors are coupled by relatively small, constant, but non-equal capacitors. The dynamics is approximately reduced to a weakly…

Pattern Formation and Solitons · Physics 2020-07-09 Victor P. Ruban

In two dimensional superfluid, annihilation processes of vortices are investigated by numerical simulation within the dissipative Gross-Pitaevskii equation (GPE) model. First, quantum vortex solution is obtained and its fitting function is…

Quantum Gases · Physics 2020-03-04 Lan Shanquan , Chen Weiru , Liang Xiaoying , Chen Jiexiang , Liu Xiyi

In this paper, we study discrete-time quantum walks on one-dimensional lattices. We find that the coherent dynamics depends on the initial states and coin parameters. For infinite size of lattice, we derive an explicit expression for the…

Cellular Automata and Lattice Gases · Physics 2015-05-18 Xin-Ping Xu
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