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A recent experiment has shown that a tangle of quantized vortices in superfluid $^4$He decayed even at mK temperatures where the normal fluid was negligible and no mutual friction worked. Motivated by this experiment, this work studies…

Soft Condensed Matter · Physics 2009-10-31 Makoto Tsubota , Tsunehiko Araki , Sergey K. Nemirovskii

We present a theoretical study of the finite-temperature Kosterlitz-Thouless (KT) and vortex-antivortex lattice (VAL) melting transitions in two-dimensional Fermi gases with $p$- or $d$-wave pairing. For both pairings, when the interaction…

Quantum Gases · Physics 2017-12-27 Gaoqing Cao , Lianyi He , Xu-Guang Huang

We study the dynamics of the relative phase of a bilayer of two-dimensional superfluids after the two superfluids have been decoupled. We find that on short time scales the relative phase shows "light cone" like dynamics and creates a…

Quantum Gases · Physics 2013-05-29 L. Mathey , A. Polkovnikov

A two-dimensional (2D) spin-1 Bose gas exhibits two Berezenskii-Kosterlitz-Thouless (BKT) transitions in the easy-plane ferromagnetic phase. The higher temperature transition is associated with superfluidity of the mass current determined…

We report an experimental study of quench dynamics across the superfluid transition temperature $T_c$ in a strongly interacting Fermi gas by ramping down the trapping potential. The nonzero quasi-condensate number $N_0$ at temperature…

A comprehensive theory of the Kosterlitz-Thouless transition in two-dimensional superfluids in thermal equilibrium can be developed within a dual representation which maps vortices in the superfluid to charges in a Coulomb gas. In this…

Statistical Mechanics · Physics 2016-09-29 L. M. Sieberer , G. Wachtel , E. Altman , S. Diehl

A new experiment has been performed to study the formation of topological defects (quantized vortices) during rapid quenches of liquid 4He through the superfluid transition, with particular care taken to minimise vortex creation via…

Soft Condensed Matter · Physics 2009-10-31 M. E. Dodd , P. C. Hendry , N. S. Lawson , P. V. E. McClintock , C. D. H. Williams

Vortex fluctuations above and below the critical Kosterlitz-Thouless (KT) transition temperature are characterized using simulations of the 2D XY model. The net winding number of vortices at a given temperature in a circle of radius $R$ is…

Statistical Mechanics · Physics 2022-07-07 Mingyu Fan , Gary A. Williams , Karla Galdamez , Charlie McDowell

The Berezinskii-Kosterlitz-Thouless (BKT) phase transition is considered in the condition of lowest temperatures, when thermal fluctuations give place to quantum ones. For this goal, the critical dynamic of the Sine-Gordon model near the…

Statistical Mechanics · Physics 2021-04-23 Mikhail Vasin

We study the two-dimensional bond-diluted XY and six-state clock models by Monte Carlo simulation with cluster spin updates. Various concentrations of depleted bonds were simulated, in which we found a systematic decrease of the…

Statistical Mechanics · Physics 2007-05-23 Tasrief Surungan , Yukata Okabe

We discuss the superconductor to normal phase transition in an infinite-layered type-II superconductor in the limit where the Josephson coupling between layers is negligible. We model each layer as a neutral gas of thermally excited pancake…

Superconductivity · Physics 2009-06-17 K. S. Raman , V. Oganesyan , S. L. Sondhi

An out of equilibrium two-dimensional superfluid relaxes towards equilibrium via a process of coarsening, driven by the annihilation of vortices with antivortices. Here we present a comparison of two different numerical models of this…

Quantum Gases · Physics 2025-03-17 R. J. Tattersall , A. W. Baggaley , T. P. Billam

We analyze the occurrence of the Beresinkii-Kosterlitz-Thouless transition in thin films of NbN at various film thickness, by probing the effect of vortex fluctuations on the temperature dependence of the superfluid density below $T_{BKT}$…

We investigate the superfluid properties of two-dimensional driven Bose liquids, such as polariton condensates, using their long-wavelength description in terms of a compact Kardar-Parisi-Zhang (KPZ) equation for the phase dynamics. We…

Quantum Gases · Physics 2016-09-29 G. Wachtel , L. M. Sieberer , S. Diehl , E. Altman

Experiments on dipolar Bose-Einstein condensates have recently reported the observation of supersolidity. Although quantized vortices constitute a key probe of superfluidity, their observability in dipolar supersolids is largely prevented…

Quantum Gases · Physics 2023-01-04 Marija Šindik , Alessio Recati , Santo Maria Roccuzzo , Luis Santos , Sandro Stringari

Phase transitions give crucial insight into many-body systems, as crossovers between different regimes of order are determined by the underlying dynamics. These dynamics, in turn, are often constrained by dimensionality and geometry. For…

Quantum Gases · Physics 2013-04-26 Guohai Situ , Stefan Muenzel , Jason W. Fleischer

Motivated by the study of cosmological phase transitions, our understanding of the formation of topological defects during spontaneous symmetry-breaking and the associated non-equilibrium field theory has recently changed. Experiments have…

Condensed Matter · Physics 2009-10-28 A. J. Gill , T. W. B. Kibble

The Landau-Ginzburg-Wilson hamiltonian is studied for different values of the parameter $\lambda$ which multiplies the quartic term (it turns out that this is equivalent to consider different values of the coherence length $\xi$ in units of…

Superconductivity · Physics 2009-10-31 G. Alvarez , H. Fort

We demonstrate a three-dimensional Kosterlitz-Thouless (KT) transition in the random field XY model driven out of thermal equilibrium. By employing the spin-wave approximation and functional renormalization group approach, in the weak…

Statistical Mechanics · Physics 2018-09-26 Taiki Haga

Nucleation of vortices in rotating superfluid by spin-up and rapid thermal quench is discussed in the framework of the time-dependent Ginzburg--Landau equation (TDGLE). An analysis of the instability in inhomogeneous rotationally-invariant…

Soft Condensed Matter · Physics 2007-05-23 Igor Aranson , Victor Steinberg