Anisotropic Bose-Einstein condensates and metaplectic transformations
نویسندگان
چکیده
منابع مشابه
Anisotropic solitons in dipolar bose-einstein condensates.
Starting with a Gaussian variational ansatz, we predict anisotropic bright solitons in quasi-2D Bose-Einstein condensates consisting of atoms with dipole moments polarized perpendicular to the confinement direction. Unlike isotropic solitons predicted for the moments aligned with the confinement axis [Phys. Rev. Lett. 95, 200404 (2005)10.1103/PhysRevLett.95.200404], no sign reversal of the dipo...
متن کاملBoolean Bose-einstein Condensates Bose-einstein Condensates
Burris, Stanley. ‘‘George Boole.’’ In The Stanford Encyclopedia of Philosophy, edited by Edward N. Zalta. 2010. Available from http://plato.stanford.edu/archives/sum2010/entries/boole/ Krantz, Steven G. Discrete Mathematics Demystified. New York: McGraw-Hill, 2009. Nahin, Paul J. The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age. Princeton, NJ: Princ...
متن کاملAnisotropic Bose-Einstein Condensates and Completely Integrable Dynamical Systems
A Gaussian ansatz for the wave function of two-dimensional harmonically trapped anisotropic Bose-Einstein condensates is shown to lead, via a variational procedure, to a coupled system of two second-order, nonlinear ordinary differential equations. This dynamical system is shown to be in the general class of Ermakov systems. Complete integrability of the resulting Ermakov system is proven. Usin...
متن کاملRotating Bose-Einstein Condensates in Partially Anisotropic Traps
1 Abstract — Zusammenfassung We study three-dimensional rapidly rotating Bose-Einstein condensates in a theoretical context. The main results are lower and upper bounds on the Gross-Pitaevskii energy of the dilute Bose gas in the Thomas-Fermi limit. Similar results were already obtained for strongly anharmonic external potentials in 2D [CRDY07b, CY08] and homogeneous external potentials in 2D [...
متن کاملVariational calculations for anisotropic solitons in dipolar Bose-Einstein condensates
We present variational calculations using a Gaussian trial function to calculate the ground state of the GrossPitaevskii equation (GPE) and to describe the dynamics of the quasi-two-dimensional solitons in dipolar BoseEinstein condensates (BECs). Furthermore, we extend the ansatz to a linear superposition of Gaussians, improving the results for the ground state to exact agreement with numerical...
متن کاملذخیره 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: Journées Équations aux dérivées partielles
سال: 2008
ISSN: 0752-0360
DOI: 10.5802/jedp.50