Beyond the Fermi pseudopotential: A modified Gross-Pitaevskii equation

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Rigorous derivation of the Gross-Pitaevskii equation.

The time-dependent Gross-Pitaevskii equation describes the dynamics of initially trapped Bose-Einstein condensates. We present a rigorous proof of this fact starting from a many-body bosonic Schrödinger equation with a short-scale repulsive interaction in the dilute limit. Our proof shows the persistence of an explicit short-scale correlation structure in the condensate.

متن کامل

A Spectral Integral Equation Solution of the Gross-Pitaevskii Equation

The Gross-Pitaevskii equation (GPE), that describes the wave function of a number of coherent Bose particles contained in a trap, contains the cube of the normalized wave function, times a factor proportional to the number of coherent atoms. The square of the wave function, times the above mentioned factor, is defined as the Hartree potential. A method implemented here for the numerical solutio...

متن کامل

Stochastic Fluctuations in the Gross-pitaevskii Equation

Abstract. We study from a mathematical point of view a model equation for Bose Einstein condensation, in the case where the trapping potential varies randomly in time. The model is the so called Gross-Pitaevskii equation, with a quadratic potential with white noise fluctuations in time. We prove the existence of solutions in 1D and 2D in the energy space. The blowup phenomenon is also discussed...

متن کامل

Vortex helices for the Gross-Pitaevskii equation

We prove the existence of travelling vortex helices to the Gross-Pitaevskii equation in R. These solutions have an infinite energy, are periodic in the direction of the axis of the helix and have a degree one at infinity in the orthogonal direction. Résumé : Nous prouvons l’existence d’ondes progressives à vorticité sur une hélice pour l’équation de GrossPitaevskii dans R. Ces solutions sont d’...

متن کامل

The stochastic Gross–Pitaevskii equation: II

We provide a derivation of a more accurate version of the stochastic Gross– Pitaevskii equation, as introduced by Gardiner et al (2002 J. Phys. B: At. Mol. Opt. Phys. 35 1555). This derivation does not rely on the concept of local energy and momentum conservation and is based on a quasiclassical Wigner function representation of a ‘high temperature’ master equation for a Bose gas, which include...

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

ژورنال

عنوان ژورنال: Physical Review A

سال: 2003

ISSN: 1050-2947,1094-1622

DOI: 10.1103/physreva.67.053612