29 March 2013 Coupling of quantum fluctuations in a two-component condensate
Author Affiliations +
Abstract
We model frozen light stored as a spin wave via electromagnetically induced transparency quantum-memory techniques in a Bose-Einstein condensate. The joint evolution of the condensate and the frozen light is typically modeled using coupled Gross-Pitaevskii equations for the two atomic fields, but these equations are only valid in the mean-field limit. Even when the mean-field limit holds for the host condensate, coupling between the host and the spin wave component could lead to a breakdown of the mean-field approximation if the host fluctuations are large compared the mean-field value of the spin wave. We develop a theoretical framework for modeling the corrections to the mean-field theory of a two-component condensate. Our analysis commences with a full second-quantized Hamiltonian for a two-component condensate. The field operators are broken up into a mean-field and a quantum fluctuation component. The quantum fluctuations are truncated to lowest non-vanishing order. We find the transformation diagonalizing the second-quantized approximate Hamiltonian and show that it can be described using the solutions to a system of coupled differential equations.
© (2013) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Collin M. Trail, Collin M. Trail, Barry C. Sanders, Barry C. Sanders, "Coupling of quantum fluctuations in a two-component condensate", Proc. SPIE 8635, Advances in Photonics of Quantum Computing, Memory, and Communication VI, 863517 (29 March 2013); doi: 10.1117/12.2005620; https://doi.org/10.1117/12.2005620
PROCEEDINGS
7 PAGES


SHARE
RELATED CONTENT


Back to Top