The Quantum Signature of Chaos through the Dynamics of Entanglement in Classically Regular and Chaotic Systems

• Authors: L. Chew , N. Chung
• Languages of publication: EN

Abstracts

EN

We demonstrate the dependence of the entanglement dynamics on the global classical regime of regular, mixed and chaotic dynamics with initial squeezed coherent states. By squeezing the initial states, we are able to enhance or suppress the entanglement entropy of the dynamically generated quantum states relative to those produced via initial coherent states. This suggests the possibility of exploiting a judicious selection of initial squeezed states to create quantum states with enhanced entanglement entropy dynamically for the purpose of robust quantum information processing.

Keywords

EN

05.45.Mt; 03.67.Bg; 03.67.Mn

Discipline

• 03.67.Bg: Entanglement production and manipulation(for entanglement in Bose-Einstein condensates, see 03.75.Gg)
• 03.67.Mn: Entanglement measures, witnesses, and other characterizations(see also 03.65.Ud Entanglement and quantum nonlocality; 42.50.Dv Quantum state engineering and measurements in quantum optics)
• 05.45.Mt: Quantum chaos; semiclassical methods

• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 120
• Issue: 6A
• Pages: A-95-A-99

Dates

published

2011-12

Contributors

author

L. Chew

• Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371

author

N. Chung

• Temasek Laboratories, National University of Singapore, Singapore 117508

References

• [1] G. Casati, B. Chirikov, Quantum Chaos: between Order and Disorder, Cambridge University Press, 1995
• [2] M. Lombardi, A. Matzkin, Phys. Rev. E 83, 016207 (2011)
• [3] N.N. Chung, L.Y. Chew, Phys. Rev. E 80, 016204 (2009)
• [4] S. Zhang, Q. Jie, Phys. Rev. A 77, 012312 (2008)
• [5] M. Lombardi, A. Matzkin, Europhys. Lett. 74, 771 (2006)
• [6] M. Novaes, Ann. Phys. 318, 308 (2005)
• [7] P.A. Miller, S. Sarkar, Phys. Rev. E 60, 1542 (1999)
• [8] J. Audretsch, Entangled Systems: New Directions in Quantum Physics, Wiley-VCH, 2007
• [9] N.N. Chung, L.Y. Chew, Phys. Rev. A 80, 012103 (2009)
• [10] N.N. Chung, L.Y. Chew, Phys. Rev. A 76, 032113 (2007)
• [11] C.S. Hsue, J.L. Chern, Phys. Rev. D 29, 643 (1984)
• [12] B. Yurke, D. Stoler, Phys. Rev. Lett. 57, 13 (1986)
• [13] H. Fujisaki, T. Miyadera, A. Tanaka, Phys. Rev. E 67, 066201 (2003)
• [14] M. Novaes, M.A.M. De Aguiar, Phys. Rev. E 70, 045201(R) (2004)
• [15] M. Tomiya, N. Yoshinaga, S. Sakamoto, A. Hirai, Comput. Phys. Commun. 169, 313 (2005)
• [16] D. Stoler, Phys. Rev. D 1, 3217 (1970)
• [17] H.P. Yuen, Phys. Rev. D 13, 2226 (1976)
• [18] J.J. Gong, P.K. Aravind, Am. J. Phys. 58, 1003 (1990)

Identifiers

DOI

10.12693/APhysPolA.120.A-95