×

Spin squeezing base on four wave mixing. (English) Zbl 1433.81099

Summary: We investigate how to prepare spin squeezing state base on four wave mixing. By the bosonization method, we analytically and numerically calculate the spin squeezing parameter. Spin squeezed state can be periodically or always prepared for two different cases. The better squeezing can be achieved by increasing the total number of photons and decreasing the. frequency difference.

MSC:

81R30 Coherent states
81R25 Spinor and twistor methods applied to problems in quantum theory
Full Text: DOI

References:

[1] Li, S-S; Nie, Y-Y; Houng, Z-H; Yi, X-J; Huang, Y-B, Commun. Theor. Phys., 50, 633 (2008) · Zbl 1392.81100 · doi:10.1088/0253-6102/50/2/15
[2] Li, S-S, Int. J. Theor. Phys., 51, 724 (2012) · Zbl 1243.81051 · doi:10.1007/s10773-011-0951-3
[3] Zeng, G.R., Jiang, Y., Chen, Z.Q., Yu, Y.: Int. J. Theor. Phys.54, 1617 (2015) · Zbl 1327.81218
[4] Kitagawa, M.; Ueda, M., Phys. Rev. A, 47, 5138 (1993) · doi:10.1103/PhysRevA.47.5138
[5] Pichler, T.; Caneva, T.; Montangero, S.; Lukin, Md; Calarco, T., Phys. Rev. A, 93 (2016) · doi:10.1103/PhysRevA.93.013851
[6] Jin, G-R; Liu, Y-C; Liu, W-M, New J. Phys., 11 (2009) · doi:10.1088/1367-2630/11/7/073049
[7] Wineland, Dj; Bollinger, Jj; Itano, Wm; Heinzen, Dj, Phys. Rev. A, 50, 67 (1994) · doi:10.1103/PhysRevA.50.67
[8] Santarelli, G.; Laurent, P.; Lemonde, P.; Clairon, A., Phys. Rev. Lett., 82, 4619 (1999) · doi:10.1103/PhysRevLett.82.4619
[9] Xia, K.; Twamley, J., Phys. Rev. B, 94, 205118 (2016) · doi:10.1103/PhysRevB.94.205118
[10] Opanchuk, B.; Rosales-Z’Arate, L.; Teh, Ry; Reid, Md, Phys. Rev. A, 94, 062125 (2016) · doi:10.1103/PhysRevA.94.062125
[11] Shao, X.; Yang, L.; Yang, X.; Xiao, M., Phys. Rev. A, 93 (2016) · doi:10.1103/PhysRevA.93.063825
[12] Huang, C.; Hu, X.; Yang, Z.; Li, L.; Rao, S., Opt. Express, 24, 19094 (2016) · doi:10.1364/OE.24.019094
[13] Bencivenga, F., Nature, 520, 205 (2015) · doi:10.1038/nature14341
[14] Emary, C.; Brandes, T., Phys. Rev. Lett., 90 (2003) · doi:10.1103/PhysRevLett.90.044101
[15] Christopher, Cg; Campos, Ra, Phys. Rev. A, 68, 025602 (2003) · doi:10.1103/PhysRevA.68.025602
[16] Chen, G.; Li, J.; Liang, J-Q, Phys. Rev. A, 74, 054101 (2006) · doi:10.1103/PhysRevA.74.054101
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.