Measurement scheme for relative phase diffusion between two Bose-Einstein condensates

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...

Geometric phase gate for entangling two Bose-Einstein condensates

Phase-diffusion dynamics in weakly coupled bose-einstein condensates.

We study the phase sensitivity of collisional phase diffusion between weakly coupled Bose-Einstein condensates, using a semiclassical picture of the two-mode Bose-Hubbard model. When weak coupling is allowed, zero relative phase locking is attained in the Josephson-Fock transition regime, whereas a pi relative phase is only locked in Rabi-Josephson point. Our analytic semiclassical estimates ag...

Two-component Bose-Einstein Condensates

This talk is about two-component Bose-Einstein condensate in a harmonic trap. The aim is to describe the shape and the spatial configuration of the ground state pairs. We will show links between our model and other mathematical problems : optimal partition problems and the Cahn-Hilliard model for phase transition. These links appear in our model in the limit when intercomponent particle interac...

Phase separation and dynamics of two-component Bose-Einstein condensates

We study the interactions between two atomic species in a binary Bose-Einstein condensate to revisit the conditions for miscibility, oscillatory dynamics between the species, steady-state solutions, and their stability. By employing a variational approach for a quasi-one-dimensional, two-atomic species condensate, we obtain equations of motion for the parameters of each species: amplitude, widt...