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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 present theoretical analysis and numerical studies of the quantized vortices in a rotating Bose-Einstein condensate with spatiotemporally modulated interaction in harmonic and anharmonic potentials, respectively. The exact quantized…

Quantum Gases · Physics 2015-05-30 Deng-Shan Wang , Shu-Wei Song , Bo Xiong , W. M. Liu

In the present work we introduce and explore a technique for the efficient removal of vortices from an atomic Bose-Einstein condensate, through the application and subsequent removal of a one-dimensional optical lattice. We showcase a…

Superfluids are distinguished from ordinary fluids by the quantized manner the rotation is manifested in them. Precisely, quantized vortices are known to appear in the bulk of a superfluid subject to external rotation. In this work we study…

Quantum Gases · Physics 2015-10-09 Marios C. Tsatsos , Axel U. J. Lode

Motivated by recent experimental and theoretical studies of fewparticle vortex clusters in Bose-Einstein condensates, we consider the ordinary differential equations of motion and systematically examine settings for up to N = 6 vortices. We…

Pattern Formation and Solitons · Physics 2015-06-16 Anna M. Barry , P. G. Kevrekidis

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 investigate the vortex-lattice structure for single- and two-component Bose-Einstein condensates in the presence of an optical lattice, which acts as a pinning potential for the vortices. The problem is considered in the mean-field…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. P. Mink , C. Morais Smith , R. A. Duine

In order to study the rotating strongly coupled Bose-Einstein condensations(BEC), a holographic model defined in an AdS black hole that duals to a coupled two-component condensations in global $U(1)$ symmetry broken phase with…

Quantum Gases · Physics 2020-08-26 Wei-Can Yang , Chuan-Yin Xia , Muneto Nitta , Hua-Bi Zeng

The surface mode spectrum is computed self-consistently for dilute Bose-Einstein condensates, providing the temperature dependence of the surface mode induced vortex nucleation frequency. Both the thermodynamic critical frequency for vortex…

Soft Condensed Matter · Physics 2008-07-10 T. P. Simula , S. M. M. Virtanen , M. M. Salomaa

Open dissipative systems of quantum fluids have been well studied numerically. In view of a complementary analytical description we extend here the variational optimization method for Bose-Einstein condensates of closed systems to…

The combination of multi-component Bose-Einstein condensates (BECs) and phase imprinting techniques provides an ideal platform for exploring nonlinear dynamics and investigating the quantum transport properties of superfluids. In this…

Quantum Gases · Physics 2023-07-28 Jianchong Xing , Wenkai Bai , Bo Xiong , Jun-Hui Zheng , Tao Yang

We address the challenging proposition of using real experimental parameters in a three-dimensional numerical simulation of fast rotating Bose-Einstein condensates. We simulate recent experiments [V. Bretin, S. Stock, Y. Seurin and J.…

Superconductivity · Physics 2009-11-11 Ionut Danaila

This paper addresses the computation of ground states of multicomponent Bose-Einstein condensates, defined as the global minimiser of an energy functional on an infinite-dimensional generalised oblique manifold. We establish the existence…

Numerical Analysis · Mathematics 2025-04-17 R. Altmann , M. Hermann , D. Peterseim , T. Stykel

We investigate analytically the thermodynamical stability of vortices in the ground state of rotating 2-dimensional Bose-Einstein condensates confined in asymptotically homogeneous trapping potentials in the Thomas-Fermi regime. Our…

Mathematical Physics · Physics 2014-04-18 Tanja Rindler-Daller

We develop an approach for calculating stationary states of rotating Bose-Einstein condensates in harmonic traps which is applicable for arbitrary ratios of the rotation frequency to the transverse frequency of the trap $\omega_{\perp}$.…

Soft Condensed Matter · Physics 2009-02-05 Gordon Baym , C. J. Pethick

In this work we present numerical study of a trapped Bose-Einstein condensate perturbed by an alternating potential. The relevant physical situation has been recently realized in experiment, where the trapped condensate of $^{87}$Rb, being…

Quantum Gases · Physics 2015-06-24 A. N. Novikov , V. I. Yukalov , V. S. Bagnato

We present a method to study the dynamics of a quasi-two dimensional Bose-Einstein condensate which contains initially many vortices at arbitrary locations. We present first the analytical solution of the dynamics in a homogeneous medium…

Recently, we presented a new numerical scheme for vortex lattice formation in a rotating Bose-Einstein condensate (BEC) using smoothed particle hydrodynamics (SPH) with an explicit time-integrating scheme; our SPH scheme could reproduce the…

Computational Physics · Physics 2024-09-04 Satori Tsuzuki , Eri Itoh , Katsuhiro Nishinari

The dynamics of a filled massive vortex is studied numerically and analytically using a two-dimensional model of a two-component Bose--Einstein condensate trapped in a harmonic trap. This condensate exhibits phase separation. In the…

Quantum Gases · Physics 2022-06-29 Victor P. Ruban

Boundaries strongly affect the behavior of quantized vortices in Bose-Einstein condensates, a phenomenon particularly evident in elongated cigar-shaped traps where vortices tend to orient along a short direction to minimize energy.…

Quantum Gases · Physics 2017-11-03 R. N. Bisset , S. Serafini , E. Iseni , M. Barbiero , T. Bienaimé , G. Lamporesi , G. Ferrari , F. Dalfovo