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Spatiotemporal evolution of a confined Bose-Einstein condensate is studied by numerically integrating the time-dependent Gross-Pitaevskii equation. Self-interference between the successively expanding and reflecting nonlinear matter waves…

Superconductivity · Physics 2009-11-13 Shi-Jie Yang , Quan-Sheng Wu , Shiping Feng , Yu-Chuan Wen , Yue Yu

We study diffusive dynamics of phase separation in a binary mixture, following critical quench, both in spatial dimensions $d=2$ and $d=3$. Particular focus in this work is to obtain information about effects of system size and correction…

Statistical Mechanics · Physics 2015-05-27 Suman Majumder , Subir K. Das

Motivated by recent experiments on multi-component membranes, the growth kinetics of domains on vesicles is theoretically studied. It is known that the steady-state rate of coalescence cannot be obtained by taking the long-time limit of the…

Soft Condensed Matter · Physics 2013-04-26 Kazuhiko Seki , Shigeyuki Komura , Sanoop Ramachandran

The dissipative dynamics of a vortex in a finite temperature trapped Bose-Einstein condensate are shown to be governed by a {\em diffusive instability}. In the weakly interacting regime we find a cross-over from instability to metastability…

Statistical Mechanics · Physics 2007-05-23 A. S. Bradley , C. W. Gardiner

We investigate the strong out-of-equilibrium dynamics occurring when a harmonically trapped ultracold bosonic gas is evaporatively cooled across the Bose--Einstein condensation transition. By imaging the cloud after free expansion, we study…

Quantum Gases · Physics 2022-03-29 Wolswijk L. , Mordini C. , Farolfi A. , Trypogeorgos D. , Dalfovo F. , Zenesini A. , Ferrari G. , Lamporesi G

The dynamics of a (quasi)one-dimensional interacting atomic Bose-Einstein condensate in a tilted optical lattice is studied in a discrete mean-field approximation, i.e., in terms of the discrete nonlinear Schr\"odinger equation. If the…

Quantum Physics · Physics 2015-05-13 Andrey R. Kolovsky , Edgar A. Gómez , Hans Jürgen Korsch

The size distribution of geometrical spin clusters is exactly found for the one dimensional Ising model of finite extent. For the values of lattice constant $\beta$ above some "critical value" $\beta_c$ the found size distribution…

Statistical Mechanics · Physics 2015-12-10 A. I. Ivanytskyi , V. O. Chelnokov

We study domain distributions in the one-dimensional Ising model subject to zero-temperature Glauber and Kawasaki dynamics. The survival probability of a domain, $S(t)\sim t^{-\psi}$, and an unreacted domain, $Q_1(t)\sim t^{-\delta}$, are…

Statistical Mechanics · Physics 2009-10-31 E. Ben-Naim , P. L. Krapivsky

We study vortex dynamics in trapped two-component Bose-Einstein condensates with a laser- induced spin-orbit coupling using the numerical analysis of the Gross-Pitaevskii equation. The spin-orbit coupling leads to three distinct ground…

Quantum Gases · Physics 2015-12-09 Kenichi Kasamatsu

We explore the out-of-equilibrium temporal dynamics of demixing and phase separation in a two dimensional binary Bose fluid at zero temperature, following a sudden quench across the miscible-immiscible phase boundary. On short timescales,…

Quantum Gases · Physics 2014-03-10 Stefan S. Natu , S. Das Sarma

We consider the Bose-Einstein condensate trapped in optical lattice, which is formed from two kinds of deep potentials. The tight-binding approximation was used. Steady state distribution of the probability amplitudes and the site…

Pattern Formation and Solitons · Physics 2007-12-12 Ekaterina A. Sorokina , Andrei I. Maimistov

Motivated by a recent experiment, we study non-equilibrium quantum phenomena taking place in the quench of a spinor Bose-Einstein condensate through the zero-temperature phase transition separating the polar paramagnetic and planar…

Other Condensed Matter · Physics 2007-09-19 Michael Uhlmann , Ralf Schützhold , Uwe R. Fischer

The phase-separation process of a binary mixture with order-parameter-dependent mobility under shear flow is numerically studied. The ordering is characterized by an alternate stretching and bursting of domains which produce oscillations in…

Soft Condensed Matter · Physics 2021-12-14 G. Gonnella , A. Lamura

We employ Monte Carlo simulations in order to study dynamics of the magnetization and domain growth processes in the random-field Ising models with uniform and Gaussian random field distributions of varying strengths. Domain sizes are…

Statistical Mechanics · Physics 2023-07-19 S. Hrivňak , M. Žukovič

We consider a 2D rotating Bose gas described by the Gross-Pitaevskii (GP) theory and investigate the properties of the ground state of the theory for rotational speeds close to the critical speed for vortex nucleation. While one could…

Mathematical Physics · Physics 2013-06-26 Michele Correggi , Nicolas Rougerie

A trapped Bose--Einstein-condensed mixture of two types of cold atoms with significantly different masses has been simulated numerically within the coupled Gross--Pitaevskii equations. A configuration consisting of a vortex-free core and a…

Quantum Gases · Physics 2022-11-23 Victor P. Ruban

We consider the splitting mechanism of a multiply charged vortex into singly charged vortices in a Bose-Einstein condensate confined in a harmonic potential at zero temperature. The Bogoliubov equations support unstable modes with complex…

Soft Condensed Matter · Physics 2007-05-23 Yuki Kawaguchi , Tetsuo Ohmi

We study the emergence of universal scaling in the time-evolving momentum distribution of a harmonically trapped three-dimensional Bose-Einstein condensate, parametrically driven to a turbulent state. We demonstrate that the…

The hydrodynamics of quantized vortices and solitons in an atomic Bose-Einstein condensate excited by an oscillating potential are studied by numerically solving the two-dimensional Gross-Pitaevskii equation. The oscillating potential keeps…

Quantum Gases · Physics 2015-05-19 Kazuya Fujimoto , Makoto Tsubota

We perform a linear stability analysis of extended domains in phase-separating fluids of equal viscosity, in two dimensions. Using the coupled Cahn-Hilliard and Stokes equations, we derive analytically the stability eigenvalues for long…

Statistical Mechanics · Physics 2009-10-30 Amalie Frischknecht