Abstract
We investigate entanglement and spin squeezing in the evolution of a resonant field in a Kell-like medium. With perturbation techniques, we first obtain the approximate analytical solution of the wave function, and then we further analytically and numerically calculate two mode entangled parameter and spin squeezing parameter. Its shows that the stronger entanglement and more squeezing may be achieved by increasing the coupling strength.
Similar content being viewed by others
References
Einstein, A., Podolsky, B., Rosen, N.: Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? Phys. Rev. 47, 777–780 (1935)
Kitagawa, M., Ueda, M.: Squeezed spin states. Phys. Rev. A. 47, 5138–5143 (1993)
Sørensen, A., Duan, L.M., Cirac, J.I., Zoller, P.: Many-particle entanglement with Bose–Einstein condensates. Nature. 409, 63–66 (2001)
Wineland, D.J., Bollinger, J.J., Itano, W.M., Heinzen, D.J.: Squeezed atomic states and projection noise in spectroscopy. Phys. Rev. A. 50, 67–88 (1994)
Jin, G.-R., Liu, Y.-C., Liu, W.-M.: Spin squeezing in a generalized one-axis twisting model. New J. Phys. 11, 073049 (2009)
Wang, X., Sanders, B.C.: Spin squeezing and pairwise entanglement for symmetric multiqubit states. Phys. Rev. A. 68, 012101 (2003)
Wang, X., Miranowicz, A., Liu, Y.-x., Sun, C.P., Nori, F.: Phys. Rev. A. 81, 022106 (2010)
Santarelli, G., Laurent, P., Lemonde, P., Clairon, A.: Quantum Projection Noise in an Atomic Fountain: A High Stability Cesium Frequency Standard. Phys. Rev. Lett. 82, 4619–4622 (1999)
Rudner, M.S., Vandersypen, L.M.K., Vuleti, V., Levitov, L.S.: Generating Entanglement and Squeezed States of Nuclear Spins in Quantum Dots. Phys. Rev. Lett. 107, 206806 (2011)
Xia, K., Twamley, J.: Generating spin squeezing states and Greenberger-Horne-Zeilinger entanglement using a hybrid phonon-spin ensemble in diamond. Phys. Rev. B. 94, 205118 (2016)
Polzik, E.S., Ye, J.: Phys. Rev. A. 93(R), 021404 (2016)
Bhattacherjee, A., Sharma, D.: Enhanced spin squeezing and quantum entanglement near the critical point of the Jaynes–Cummings–Dicke model. Int. J. Mod. Phys. B. 31, 1750062 (2017)
Abad, T., Mølmer, K., Karimipour, V.: Sequentially generated entanglement, macroscopicity, and squeezing in a spin chain. Phys. Rev. A. 96, 042337 (2017)
Agarwal, G.S., Puri, R.R.: Collapse and revival phenomenon in the evolution of a resonant field in a Kerr-like medium. Phys. Rev. A. 39, 2969–2977 (1989)
Sudheesh, C., Lakshmibala, S., Balakrishnan, V.: Wave packet dynamics of entangled two-mode states. J. Phys. B Atomic Mol. Phys. 39, 3345–3359 (2006)
Butler, M., Drummond, P.D.: Squeezed States in a Cooperative Dicke System. Optica Acta: International Journal of Optics. 33, 1–5 (1986)
Sergi, A., Zloshchastiev, K.G.: Non-hermitian quantum dynamics of a two-level system and models of dissipative environments. Int. J. Mod. Phys. B. 27, 1350163 (2013)
Hillery, M., Zubairy, M.S.: Phys. Rev. Lett. 96, 050503 (2006)
Acknowledgements
We acknowledge support from the Science and Technology project of Jiangxi provincial Department of Education (No. GJJ180447).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Liu, Z. Entanglement and Spin Squeezing in the Evolution of a Resonant Field in a Kell-Like Medium. Int J Theor Phys 59, 2249–2254 (2020). https://doi.org/10.1007/s10773-020-04504-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-020-04504-2