aqora

Physics of phase transitions in two dimensions: Berezinskii—Kosterlitz—Thouless and beyond

Valentin Nikolaevich Ryzhov, В. В. Бражкин, Elena E. Tareyeva +2 more

Uspekhi Fizicheskih NaukApr 1, 20251 citation

Berezinskii–Kosterlitz–Thouless phase transition of 2D dilute generalized model

Yunzhou Sun, Jianchu Liang, Si-Liu Xu +1 more

Physica A Statistical Mechanics and its ApplicationsDec 24, 20094 citations

Periodic quenches across the Berezinskii-Kosterlitz-Thouless phase transition

Kate Brown, Thomas Bland, P. Comaron +1 more

The quenched dynamics of an ultracold homogeneous atomic two-dimensional Bose gas subjected to periodic quenches across the Berezinskii-Kosterlitz-Thouless (BKT) phase transition are discussed.Specifically, we address the effect of periodic cycling of the effective atomic interaction strength between a thermal disordered state above and a highly ordered state below the critical BKT interaction strength, by means of numerical simulations of the stochastic projected Gross-Pitaevskii equation.Probing the emerging dynamics as a function of the frequency of sinusoidal driving from low to high frequencies reveals diverse dynamical features, including phase-lagged quasiadiabatic reversible condensate formation, resonant excitation consistent with an intrinsic system relaxation timescale, and the gradual establishment of dynamically recurring or time-averaged nonequilibrium states with enhanced coherence, which are neither condensed nor thermal.Our study paves the way for experimental observation of such driven nonequilibrium ultracold superfluid states.The quenched dynamics of an ultracold homogeneous atomic two-dimensional Bose gas subjected to periodic quenches across the Berezinskii-Kosterlitz-Thouless (BKT) phase transition are discussed.Specifically, we address the effect of periodic cycling of the effective atomic interaction strength between a thermal disordered state above and a highly ordered state below the critical BKT interaction strength, by means of numerical simulations of the stochastic projected Gross-Pitaevskii equation.Probing the emerging dynamics as a function of the frequency of sinusoidal driving from low to high frequencies reveals diverse dynamical features, including phase-lagged quasiadiabatic reversible condensate formation, resonant excitation consistent with an intrinsic system relaxation timescale, and the gradual establishment of dynamically recurring or time-averaged nonequilibrium states with enhanced coherence, which are neither condensed nor thermal.Our study paves the way for experimental observation of such driven nonequilibrium ultracold superfluid states.

arXiv:2006.16683Physical Review ResearchJan 29, 20212 citations

Theoretical analysis of the Berezinskii–Kosterlitz–Thouless transition critical dynamics near the zero temperature

Mikhail Gennag'evich Vasin

The European Physical Journal PlusSep 15, 20220 citations

Non-equilibrium Relaxation Analysis of Kosterlitz-Thouless Phase Transition

之康尾関, Yukiyasu Ozeki

Jan 1, 20010 citations

Berezinskii–Kosterlitz–Thouless transition and criticality of an elliptic deformation of the sine-Gordon model

Nicolò Defenu, V. Bacsó, István Gábor Márián +2 more

Abstract We introduce and study the properties of a periodic model interpolating between the sine-and the sinh-Gordon theories in 1 + 1 dimensions. This model shows the peculiarities, due to the preservation of the functional form of their potential across RG flows, of the two limiting cases: the sine-Gordon, not having conventional order/magnetization at finite temperature, but exhibiting Berezinskii–Kosterlitz–Thouless (BKT) transition; and the sinh-Gordon, not having a phase transition, but being integrable. The considered interpolation, which we term as sn-Gordon model, is performed with potentials written in terms of Jacobi functions. The critical properties of the sn-Gordon theory are discussed by a renormalization-group approach. The critical points, except the sinh-Gordon one, are found to be of BKT type. Explicit expressions for the critical coupling as a function of the elliptic modulus are given.Abstract We introduce and study the properties of a periodic model interpolating between the sine-and the sinh-Gordon theories in 1 + 1 dimensions. This model shows the peculiarities, due to the preservation of the functional form of their potential across RG flows, of the two limiting cases: the sine-Gordon, not having conventional order/magnetization at finite temperature, but exhibiting Berezinskii–Kosterlitz–Thouless (BKT) transition; and the sinh-Gordon, not having a phase transition, but being integrable. The considered interpolation, which we term as sn-Gordon model, is performed with potentials written in terms of Jacobi functions. The critical properties of the sn-Gordon theory are discussed by a renormalization-group approach. The critical points, except the sinh-Gordon one, are found to be of BKT type. Explicit expressions for the critical coupling as a function of the elliptic modulus are given.

arXiv:1706.01444Journal of Physics A Mathematical and TheoreticalJul 13, 20193 citations

Periodic quenches across the Berezinskii-Kosterlitz-Thouless phase transition

Related papers

Periodic quenches across the Berezinskii-Kosterlitz-Thouless phase transition

Related papers