Coupling of quantum fluctuations in a two-component condensate

Collin M. Trail; Barry C. Sanders

doi:10.1117/12.2005620

29 March 2013 Coupling of quantum fluctuations in a two-component condensate

Collin M. Trail, Barry C. Sanders

Proceedings Volume 8635, Advances in Photonics of Quantum Computing, Memory, and Communication VI; 863517 (2013) https://doi.org/10.1117/12.2005620
Event: SPIE OPTO, 2013, San Francisco, California, United States

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.

Citation Download Citation

Collin M. Trail and 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); https://doi.org/10.1117/12.2005620

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available