A combined discontinuous Galerkin method for the dipolar Bose-Einstein condensation

نویسندگان

  • Xiang-Gui Li
  • Jiang Zhu
  • Rongpei Zhang
  • Shengshan Cao
چکیده

Article history: Received 12 September 2013 Received in revised form 8 April 2014 Accepted 3 July 2014 Available online 15 July 2014

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates

New efficient and accurate numerical methods are proposed to compute ground states and dynamics of dipolar Bose-Einstein condensates (BECs) described by a three-dimensional (3D) Gross-Pitaevskii equation (GPE) with a dipolar interaction potential. Due to the high singularity in the dipolar interaction potential, it brings significant difficulties in mathematical analysis and numerical simulatio...

متن کامل

Stability and Collapse Dynamics of Dipolar Bose-Einstein Condensates in One-Dimensional Optical Lattices

The subject of this thesis is the investigation of the stability and the collapse dynamics of a dipolar 52Cr Bose-Einstein condensate (BEC) in a one-dimensional (1D) optical lattice potential. In this work, it is experimentally shown that the stability of the dipolar BEC is strongly modified when increasing the modulation depth of the sinusoidal potential landscape: a cross-over from dipolar de...

متن کامل

Bose-Einstein condensation temperature of dipolar gas in anisotropic harmonic trap

We consider a dilute gas of dipole moments in an arbitrary harmonic trap and treat both the short-range, isotropic interaction and the long-range, anisotropic dipole-dipole interaction perturbatively. In this way, we calculate the leading shift of the critical temperature with respect to that of an ideal gas as a function of the relative orientation of the dipole moments with respect to the har...

متن کامل

Mathematical models and numerical methods for Bose-Einstein condensation

The achievement of Bose-Einstein condensation (BEC) in ultracold vapors of alkali atoms has given enormous impulse to the theoretical and experimental study of dilute atomic gases in condensed quantum states inside magnetic traps and optical lattices. This article offers a short survey on mathematical models and theories as well as numerical methods for BEC based on the mean field theory. We st...

متن کامل

Spinor Bose-Einstein condensates in double well potentials

We consider the statics and dynamics of F = 1 spinor Bose-Einstein condensates (BECs) confined in double well potentials. We use a two-mode Galerkin-type quasi-analytical approximation to describe the stationary states of the system. This way, we are able to obtain not only earlier results based on the single mode approximation (SMA) frequently used in studies of spinor BECs, but also additiona...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • J. Comput. Physics

دوره 275  شماره 

صفحات  -

تاریخ انتشار 2014