GSGPEs: A MATLAB code for computing the ground state of systems of Gross-Pitaevskii equations

نویسندگان

  • Marco Caliari
  • Stefan Rainer
چکیده

GSGPEs is a Matlab/GNU Octave suite of programs for the computation of the ground state of systems of Gross–Pitaevskii equations. It can compute the ground state in the defocusing case, for any number of equations with harmonic or quasi-harmonic trapping potentials, in spatial dimension one, two or three. The computation is based on a spectral decomposition of the solution into Hermite functions and direct minimization of the energy functional through a Newton-like method with an approximate line-search strategy.

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

GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations II: Dynamics and stochastic simulations

GPELab is a free Matlab toolbox for modeling and numerically solving large classes of systems of Gross-Pitaevskii equations that arise in the physics of Bose-Einstein condensates. The aim of this second paper, which follows [8], is to first present the various pseudospectral schemes available in GPELab for computing the deterministic and stochastic nonlinear dynamics of GrossPitaevskii equation...

متن کامل

Dynamics of Nonlinear Schrödinger /Gross-Pitaevskii Equations; Mass Transfer in Systems with Solitons and Degenerate Neutral Modes

Nonlinear Schrödinger / Gross-Pitaevskii equations play a central role in the understanding of nonlinear optical and macroscopic quantum systems. The large time dynamics of such systems is governed by interactions of the nonlinear ground state manifold, discrete neutral modes (“excited states”) and dispersive radiation. Systems with symmetry, in spatial dimensions larger than one, typically hav...

متن کامل

Location and phase segregation of ground and excited states for 2D Gross–Pitaevskii systems

Abstract. We consider a system of Gross–Pitaevskii equations in R modelling a mixture of two Bose–Einstein condensates with repulsive interaction. We aim to study the qualitative behaviour of ground and excited state solutions. We allow two different harmonic and off-centered trapping potentials and study the spatial patterns of the solutions within the Thomas– Fermi approximation as well as ph...

متن کامل

Geometric Analysis of Bifurcation and Symmetry Breaking in a Gross–Pitaevskii Equation

Gross–Pitaevskii and nonlinear Hartree equations are equations of nonlinear Schrödinger type that play an important role in the theory of Bose–Einstein condensation. Recent results of Aschbacher et al. (3) demonstrate, for a class of 3-dimensional models, that for large boson number (squared L norm), N, the ground state does not have the symmetry properties of the ground state at small N. We pr...

متن کامل

A minimisation approach for computing the ground state of Gross-Pitaevskii systems

In this paper, we present a minimisation method for computing the ground state of systems of coupled Gross–Pitaevskii equations. Our approach relies on a spectral decomposition of the solution into Hermite basis functions. Inserting the spectral representation into the energy functional yields a constrained nonlinear minimisation problem for the coefficients. For its numerical solution, we empl...

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:
  • Computer Physics Communications

دوره 184  شماره 

صفحات  -

تاریخ انتشار 2013