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The dynamics of a 2D Bose-Einstein condensate in optical trap is studied taking into consideration fluctuations of the far-off-resonance laser field intensity. The problem is described in the frame of the mean field Gross-Pitaevskii…

Soft Condensed Matter · Physics 2007-05-23 F. Kh. Abdullaev , B. B. Baizakov , V. V. Konotop

We theoretically examine the vortex states of a gas of trapped quasi-two-dimensional ultracold bosons subject to a density-dependent gauge potential, realizing an effective nonlinear rotation of the atomic condensate, which we also show is…

Quantum Gases · Physics 2020-10-28 Matthew Edmonds , Muneto Nitta

We investigate the quantum dynamics of two bosons, trapped in a two-dimensional harmonic trap, upon quenching arbitrarily their interaction strength thereby covering the entire energy spectrum. Utilizing the exact analytical solution of the…

Quantum Gases · Physics 2019-11-13 G. Bougas , S. I. Mistakidis. , P. Schmelcher

We study the out-of-equilibrium quantum dynamics of dipolar polarons, i.e., impurities immersed in a dipolar Bose-Einstein condensate, after a quench of the impurity-boson interaction. We show that the dipolar nature of the condensate and…

Quantum Gases · Physics 2023-12-12 Artem G. Volosniev , Giacomo Bighin , Luis Santos , Luis A. Peña Ardila

We present a variational solution of the Langevin field equation describing the nonequilibrium dynamics of a harmonically trapped Bose-Einstein condensate. If the thermal cloud remains in equilibrium at all times, we find that the equation…

Statistical Mechanics · Physics 2009-11-07 R. A. Duine , H. T. C. Stoof

With use of the nonlinear Schr{\"o}dinger (or Gross-Pitaevskii) equation with strong repulsive cubic nonlinearity, dynamics of multi-component Bose-Einstein condensates (BECs) with a harmonic trap in 2 dimensions is investigated beyond the…

We study quasi-two-dimensional dipolar Bose-Einstein condensates, in which the Bogoliubov excitation spectrum displays, at sufficiently large gas density, a deep roton minimum due to the spatially anisotropic behavior of the dipolar…

Quantum Physics · Physics 2018-06-29 Zehua Tian , Seok-Yeong Chä , Uwe R. Fischer

Quasiparticle approach to dynamics of dark solitons is applied to the case of ring solitons. It is shown that the energy conservation law provides the effective equations of motion of ring dark solitons for general form of the nonlinear…

Pattern Formation and Solitons · Physics 2010-10-05 A. M. Kamchatnov , S. V. Korneev

Results are presented for the dynamics arising due to a sudden quench of a boson interaction parameter with the simultaneous switching on of a commensurate periodic potential, the latter providing a source of non-linearity that can cause…

Statistical Mechanics · Physics 2015-06-16 Marco Tavora , Aditi Mitra

Motivated by a recent experiment [K.C. Wright et. al. Phys. Rev. Lett. 110, 025302 (2013)], we investigate deterministic discontinuous jumps between quantized circulation states in a toroidally trapped Bose-Einstein condensate. These phase…

Quantum Gases · Physics 2015-06-22 A. I. Yakimenko , Y. M. Bidasyuk , M. Weyrauch , Y. I. Kuriatnikov , S. I. Vilchinskii

We introduce the study of dynamical quantum noise in Bose-Einstein condensates through numerical simulation of stochastic partial differential equations obtained using phase space representations. We derive evolution equations for a single…

Soft Condensed Matter · Physics 2009-10-31 M. J. Steel , M. K. Olsen , L. I. Plimak , P. D. Drummond , S. M. Tan , M. J. Collett , D. F. Walls , R. Graham

Using the time-dependent mean-field Gross-Pitaevskii equation we study the dynamics of small repulsive Bose-Einstein condensed vortex states of ^{85}Rb atoms in a cylindrical trap with low angular momentum hbar L per atom (L <= 6), when the…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

We consider a Bose-Einstein condensate subject to a rotating harmonic potential, in connection with recent experiments leading to the formation of vortices. We use the classical hydrodynamic approximation to the non-linear Schr\"odinger…

Soft Condensed Matter · Physics 2016-08-31 Subhasis Sinha , Yvan Castin

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

Motivated by recent experiments we study theoretically the dynamics of vortices in the crossover from two to one-dimension in atomic condensates in elongated traps. We explore the transition from the dynamics of a vortex to that of a dark…

Quantum Gases · Physics 2016-08-31 Marios C. Tsatsos , Matthew J. Edmonds , Nick G. Parker

We study theoretically an atomic Bose-Einstein condensate in a double-well trap both quantum mechanically and classically under conditions such that in the classical model an unstable equilibrium dissolves into large-scale oscillations of…

Quantum Physics · Physics 2010-05-07 Juha Javanainen

We study the vortex dynamics and vortex pinning effect in Bose-Einstein condensate in a rotating double-well trap potential and co-rotating optical lattice. We show that, in agreement with the experiment, the vortex number do not diverge…

Quantum Gases · Physics 2014-08-25 T. Mithun , K. Porsezian , Bishwajyoti Dey

We investigate the stability and dynamics of the orbital angular momentum modes of a repulsive Bose-Einstein condensate trapped in two tunnel-coupled rings in a stack configuration. Within mean-field theory, we derive a two-state model for…

Quantum Physics · Physics 2025-04-11 Eloi Nicolau , Jordi Mompart , Bruno Juliá-Díaz , Verònica Ahufinger

We variationally determine the dynamics of bright soliton trains composed of harmonically trapped Bose-Einstein condensates with attractive interatomic interactions. In particular, we obtain the interaction potential between two solitons.…

Condensed Matter · Physics 2007-05-23 U. Al Khawaja , H. T. C. Stoof , R. G. Hulet , K. E. Strecker , G. B. Partridge

In this short review we present our recent results concerning the rotation of atomic Bose-Einstein condensates confined in quadratic or quartic potentials, and give an overview of the field. We first describe the procedure used to set an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sabine Stock , Baptiste Battelier , Vincent Bretin , Zoran Hadzibabic , Jean Dalibard