Topological thermalization via vortex formation in ultrafast quenches.

  title={Topological thermalization via vortex formation in ultrafast quenches.},
  author={Marcos Tello-Fraile and Andr{\'e}s Cano and Manuel Donaire},
  journal={Physical review. E},
  volume={101 5-1},
We investigate the thermalization of a two-component scalar field across a second-order phase transition under extremely fast quenches. We find that vortices start developing once the thermal bath sets the control parameter to its final value in the nonsymmetric phase. Specifically, we find that vortices emerge as the fluctuating field relaxes and departs macroscopically from its symmetric configuration. The density of primordial vortices at the relaxation time is a decreasing function of the… 

Figures and Tables from this paper



Spontaneous vortex formation on a superconducting film

We carry out numerical simulations of a temperature quench in a Hamiltonian system that models a superconducting film in three-dimensional (3D) space. Theoretical arguments suggest that vortices are

Winding up superfluid in a torus via Bose Einstein condensation

This work simulates Bose-Einstein condensation in a ring using stochastic Gross-Pitaevskii equation and shows that BEC formation can spontaneously generate quantized circulation of the newborn condensate, and results may facilitate measuring the dynamical critical exponent for the BEC transition.

Topological Defects from First Order Gauge Theory Phase Transitions

We investigate the mechanism by which topological defects form in first-order phase transitions with a charged-order parameter. We show how thick superconductor vortices and heavy cosmic strings form

Creation and counting of defects in a temperature quenched Bose-Einstein Condensate

We study the spontaneous formation of defects in the order parameter of a trapped ultracold bosonic gas while crossing the critical temperature for Bose-Einstein Condensation (BEC) at different

Cosmological experiments in superfluid helium?

Symmetry breaking phase transitions occurring in the early Universe are expected to leave behind long-lived topologically stable structures such as monopoles, strings or domain walls1–6. Here I

Density of Kinks after a Quench: When Symmetry Breaks, How Big are the Pieces?

Numerical study of order parameter evolution in the course of symmetry breaking transitions with Landau-Ginzburg{endash}like dynamics shows that the density of topological defects, kinks which form

Direct observation of the proliferation of ferroelectric loop domains and vortex-antivortex pairs.

We discovered stripe patterns of trimerization-ferroelectric domains in hexagonal REMnO(3) (RE=Ho,···,Lu) crystals (grown below ferroelectric transition temperatures (T(c)), reaching up to 1435 °C),

Laboratory simulation of cosmic string formation in the early Universe using superfluid 3He

TOPOLOGICAL defects in the geometry of space–time (such as cosmic strings) may have played an important role in the evolution of the early Universe, by supplying initial density fluctuations which

Kibble–Zurek mechanism in colloidal monolayers

This work investigates the nonequilibrium dynamics in a condensed matter analog, a 2D ensemble of colloidal particles that obeys the so-called Kosterlitz–Thouless–Halperin–Nelson–Young (KTHNY) melting scenario with continuous (second order-like) phase transitions and observes the scaling predicted by the Kibble–Zurek mechanism for the KTHNY universality class.

A: Math

  • Gen. 9, 1387
  • 1976