Analysis of entanglement in quantum systems with continuous variables by means of Schmidt decomposition

A. Yu. Bogdanov; Yu. I. Bogdanov; K. A. Valiev

doi:10.1117/12.683105

31 May 2006 Analysis of entanglement in quantum systems with continuous variables by means of Schmidt decomposition

A. Yu. Bogdanov, Yu. I. Bogdanov, K. A. Valiev

Proceedings Volume 6264, Quantum Informatics 2005; 626404 (2006) https://doi.org/10.1117/12.683105
Event: Quantum Informatics 2005, 2005, Moscow, Russian Federation

Abstract

We investigate the procedure of Schmidt modes extraction in systems with continuous variables. An algorithm based on singular value matrix decomposition is applied to the study of entanglement in an "atom-photon" system with spontaneous radiation. Also, this algorithm is applied to the study of a bi-photon system with spontaneous parametric down conversion with type-II phase matching for broadband pump. We demonstrate that dynamic properties of entangled states in an atom-photon system with spontaneous radiation are defined by a parameter equal to the product of the fine structure constant and the atom-electron mass ratio. We then consider the evolution of the system during radiation and show that the atomic and photonic degrees of freedom are entangling for the times of the same order of magnitude as the excited state life-time. Then the degrees of freedom are de-entangling and asymptotically approach to the level of small residual entanglement that is caused by momentum dispersion of the initial atomic packet. Finally, we investigate the process of coherence loss between modes in type-II parametric down conversion that is caused by non-linear crystal properties.

Citation Download Citation

A. Yu. Bogdanov, Yu. I. Bogdanov, and K. A. Valiev "Analysis of entanglement in quantum systems with continuous variables by means of Schmidt decomposition", Proc. SPIE 6264, Quantum Informatics 2005, 626404 (31 May 2006); https://doi.org/10.1117/12.683105

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