Orbital variational adiabatic hyperspherical method applied to Bose-Einstein condensates

Hyperspherical lowest-order constrained-variational approximation to resonant Bose-Einstein condensates

We study the ground-state properties of a system of N harmonically trapped bosons of mass m interacting with two-body contact interactions, from small to large scattering lengths. This is accomplished in a hyperspherical coordinate system that is flexible enough to describe both the overall scale of the gas and two-body correlations. By adapting the lowest-order constrained-variational method, ...

Boolean 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...

Ansatz from nonlinear optics applied to trapped Bose-Einstein condensates

A simple analytical ansatz, which has been used to describe the intensity profile of the similariton laser a laser with self-similar propagation of ultrashort pulses , is used as a variational wave function to solve the Gross-Pitaevskii equation for a wide range of interaction parameters. The variational form interpolates between the noninteracting density profile and the strongly interacting T...

Variational studies of Bose-Einstein condensates with embedded vorticity

Spin–orbital-angular-momentum coupling in Bose-Einstein condensates

Spin-orbit coupling (SOC) plays a crucial role in many branches of physics. In this context, the recent experimental realization of the coupling between spin and linear momentum of ultracold atoms opens a completely new avenue for exploring new spin-related superfluid physics. Here we propose that another important and fundamental SOC, the coupling between spin and orbital angular momentum (SOA...