Please use this identifier to cite or link to this item: https://doi.org/10.1137/130911111
Title: A simple and efficient numerical method for computing the dynamics of rotating bose-einstein condensates via rotating lagrangian coordinates
Authors: Bao, W. 
Marahrens, D.
Tang, Q.
Zhang, Y.
Keywords: Angular momentum rotation
Dipole-dipole interaction
Gross-Pitaevskii equation
Rotating Bose-Einstein condensate
Rotating Lagrangian coordinates
Time-splitting
Issue Date: 2013
Citation: Bao, W., Marahrens, D., Tang, Q., Zhang, Y. (2013). A simple and efficient numerical method for computing the dynamics of rotating bose-einstein condensates via rotating lagrangian coordinates. SIAM Journal on Scientific Computing 35 (6) : A2671-A2695. ScholarBank@NUS Repository. https://doi.org/10.1137/130911111
Abstract: We propose a simple, efficient, and accurate numerical method for simulating the dynamics of rotating Bose-Einstein condensates (BECs) in a rotational frame with or without longrange dipole-dipole interaction (DDI). We begin with the three-dimensional (3D) Gross-Pitaevskii equation (GPE) with an angular momentum rotation term and/or long-range DDI, state the twodimensional (2D) GPE obtained from the 3D GPE via dimension reduction under anisotropic external potential, and review some dynamical laws related to the 2D and 3D GPEs. By introducing a rotating Lagrangian coordinate system, the original GPEs are reformulated to GPEs without the angular momentum rotation, which is replaced by a time-dependent potential in the new coordinate system. We then cast the conserved quantities and dynamical laws in the new rotating Lagrangian coordinates. Based on the new formulation of the GPE for rotating BECs in the rotating Lagrangian coordinates, a time-splitting spectral method is presented for computing the dynamics of rotating BECs. The new numerical method is explicit, simple to implement, unconditionally stable, and very efficient in computation. It is spectral-order accurate in space and second-order accurate in time and conserves the mass on the discrete level. We compare our method with some representative methods in the literature to demonstrate its efficiency and accuracy. In addition, the numerical method is applied to test the dynamical laws of rotating BECs such as the dynamics of condensate width, angular momentum expectation, and center of mass, and to investigate numerically the dynamics and interaction of quantized vortex lattices in rotating BECs without or with the long-range DDI.Copyright © by SIAM.
Source Title: SIAM Journal on Scientific Computing
URI: http://scholarbank.nus.edu.sg/handle/10635/102759
ISSN: 10648275
DOI: 10.1137/130911111
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

17
checked on Oct 18, 2018

WEB OF SCIENCETM
Citations

14
checked on Oct 2, 2018

Page view(s)

32
checked on Oct 5, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.