Generating a squeezed-coherent-cat state in a double-cavity optomechanical system. (English) Zbl 07761385
Summary: A squeezed-coherent-cat state (SCCS) in a mechanical system not only plays an important role for macroscopic quantum coherence, but also can be a carrier for quantum information. A scheme to generate a SCCS in a two-mode optomechanical system is proposed, in which the modulated hopping interaction of two cavities is introduced. The two cavity modes couple with the same mechanical mode with linear and quadratic interaction, respectively. The SCCS is analytically deduced under an appropriate initial state, and the average phonon number and the parameter of squeeze are numerically calculated. Wigner function shown the properties of superposition and squeezing is plotted. Including the dissipation of the environment, the results show that a high quality mechanical resonator and a low noise environment are required to obtain high fidelity.
© 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
© 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
MSC:
| 81V80 | Quantum optics |
| 81R30 | Coherent states |
| 81P40 | Quantum coherence, entanglement, quantum correlations |
References:
| [1] | P. T.Cochrane, G. J.Milburn, W. J.Munro, Phys. Rev. A1999, 59, 2631. |
| [2] | S. J.vanEnk, O.Hirota, Phys. Rev. A2001, 64, 022313. |
| [3] | D. S.Simon, G.Jaeger, A. V.Sergienko, Phys. Rev. A2014, 89, 012315. |
| [4] | X. Y.Lü, L. L.Zheng, G. L.Zhu, Y.Wu, Phys. Rev. Applied2018, 9, 064006. |
| [5] | B.Vlastakis, G.Kirchmair, Z.Leghtas, S. E.Nigg, L.Frunzio, S. M.Girvin, M.Mirrahimi, M. H.Devoret, R. J.Schoelkopf, Science2013, 342, 607. · Zbl 1355.81054 |
| [6] | J. Q.Zhang, W.Xiong, S.Zhang, Y.Li, M.Feng, Ann. Phys.2015, 527, 180. · Zbl 1312.81032 |
| [7] | E.Solano, G. S.Agarwal, H.Walther, Phys. Rev. Lett.2003, 90, 027903. |
| [8] | L.Zhou, H.Xiong, J. Phy. B2008, 41, 025501. |
| [9] | S. L.Ma, J. K.Xie, F. L.Li, Phys. Rev. A2019, 99, 022302. |
| [10] | R.Daneshmand, M. K.Tavassoly, Ann. Phys.2017, 529, 1600246. |
| [11] | D. J.Wineland, Ann. Phys.2013, 525, 739. |
| [12] | C. H.van derWal, A. C. J.terHaar, F. K.Wilhelm, R. N.Schouten, C. J. P. M.Harmans, T. P.Orlando, S.Lloyd, J. E.Mooij, Science2000, 290, 773. |
| [13] | M.Brune, E.Hagley, J.Dreyer, X. Maître, A.Maali, C.Wunderlich, J. M.Raimond, S.Haroche, Phys. Rev. Lett.1996, 77, 4887. |
| [14] | A.Ourjoumtsev, H.Jeong, R.Tualle‐Brouri, P. Grangier , Nature2007, 448, 784. |
| [15] | J.Chan, T. P. M.Alegre, A. H.Safavi‐Naeini, J. T.Hill, A.Krause, S.Gröblacher, M.Aspelmeyer, O.Painter, Nature2011, 478, 89. |
| [16] | S.Kolkowitz, A. C. B.Jayich, Q. P.Unterreithmeier, S. D.Bennett, P.Rabl, J. G. E.Harris, M. D. Lukin, Science2012, 335, 1603. |
| [17] | M.Aspelmeyer, T. J.Kippenberg, F.Marquardt, Rev. Mod. Phys.2014, 86, 1391. |
| [18] | C. A.Regal, J. D.Teufel, K. W.Lehnert, Nature2008, 4, 555. |
| [19] | L.Zhou, J.Cheng, Y.Han, W. P.Zhang, Phys. Rev. A2013, 88, 063854. |
| [20] | W. Z.Zhang, J.Cheng, J. Y.Liu, L.Zhou, Phys. Rev. A2015, 91, 063836. |
| [21] | N.Német, S.Parkins, Phys. Rev. A2016, 94, 023809. |
| [22] | K. J.Huang, Y.Yan, J. P.Zhu, Y. F.Xiao, G. X.Li, Phys. Rev. A2016, 93, 033832. |
| [23] | B. Y.Zhou, G. X.Li, Phys. Rev. A2016, 94, 033809. |
| [24] | L. L.Zheng, T. S.Yin, Q.Bin, X. Y.Lü, Y.Wu, Phys. Rev. A2019, 99, 013804. |
| [25] | D. E.McClelland, N.Mavalvala, Y. B.Chen, R.Schnabel, Laser Photonics Rev.2011, 5, 677. |
| [26] | M. R.Vanner, I.Pikovski, M. S.Kim, Ann. Phys.2015, 527, 15. · Zbl 1312.81042 |
| [27] | J. Q.Liao, L.Tian, Phys. Rev. Lett.2016, 116, 163602. |
| [28] | J. Q.Liao, J. F.Huang, L.Tian, Phys. Rev. A2016, 93, 033853. |
| [29] | R. Y.Teh, S.Kiesewetter, P. D.Drummond, M. D.Reid, Phys. Rev. A2018, 98, 063814. |
| [30] | B.Xiong, X.Li, S. L.Chao, Z.Yang, W. Z.Zhang, L.Zhou, Opt. Express2019, 27, 13547. |
| [31] | X. Y.Lü, G. L.Zhu, L. L.Zheng, Y.Wu, Phys. Rev. A2018, 97, 033807. |
| [32] | S. Y.Lee, H.Nha, Phys. Rev. A2010, 82, 053812. |
| [33] | H. T.Tan, F.Bariani, G. X.Li, P.Meystre, Phys. Rev. A2013, 88, 023817. |
| [34] | Z. Q.Yin, T. C.Li, X.Zhang, L. M.Duan, Phys. Rev. A2013, 88, 033614. |
| [35] | J.Harris, P.Rabl, A.Schliesser, Ann. Phys.2015, 527, A13. |
| [36] | M.Campisi, P.Hänggi, P.Talkner, Rev. Mod. Phys.2011, 83, 771. |
| [37] | M.Esposito, U.Harbola, S.Mukamel, Rev. Mod. Phys.2009, 81, 1665. · Zbl 1205.82097 |
| [38] | F.Benatti, F.Carollo, R.Floreanini, Ann. Phys.2015, 527, 639. · Zbl 1329.81426 |
| [39] | V.Peano, H. G. L.Schwefel, C.Marquardt, F.Marquardt, Phys. Rev. Lett.2015, 115, 243603. |
| [40] | Y. Q.Ma, S. L.Danilishin, C. N.Zhao, H. X.Miao, W. Z.Korth, Y. B.Chen, R. L.Ward, D. G.Blair, Phys. Rev. Lett.2014, 113, 151102. |
| [41] | H. T.Tan, G. X.Li, P.Meystre, Phys. Rev. A2013, 87, 033829. |
| [42] | W. Z.Zhang, Y.Han, B.Xiong, L.Zhou, New J. Physics2017, 19, 083022. · Zbl 1516.81229 |
| [43] | B.Xiong, X.Li, S. L.Chao, L.Zhou, Opt. Lett.2018, 43, 6053. |
| [44] | C. H.Bai, D. Y.Wang, S.Zhang, S. T.Liu, H. F.Wang, Ann. Phys.2019, 0, 1800271. |
| [45] | Y. Q.Guo, X. M.Guo, P.Li, H.Shen, J.Zhang, T. C.Zhang, Ann. Phys.2018, 530, 1800138. |
| [46] | O. D.Stefano, A.Settineri, V.Macrì, A.Ridolfo, R.Stassi, A. F.Kockum, S.Savasta, F.Nori, Phys. Rev. Lett.2019, 122, 030402. |
| [47] | A.Nunnenkamp, K.Børkje, J. G. E.Harris, S. M.Girvin, Phys. Rev. A2010, 82, 021806. |
| [48] | S. M.Barnett, P. M.Radmore, Methods in Theoretical Quantum Optics, Clarendon, Oxford1997, p. 67, p. 116. |
| [49] | G. S.Agarwal, S. M.Huang, Phys. Rev. A2016, 93, 043844. |
| [50] | D.Vitali, P.Tombesi, M. J.Woolley, A. C.Doherty, G. J.Milburn, Phys. Rev. A2007, 76, 042336. |
| [51] | M. H.Devoret, Quantum Fluctuations: Quantum Fluctuations in Electrical Circuits, (Eds: S.Reynaud (ed.), E.Giacobino (ed.), J.Zinn‐Justin (ed.)), Elsevier, Amsterdam1997, Ch. 10. · Zbl 0937.00055 |
| [52] | Y. X.Zeng, T.Gebremariam, M. S.Ding, C.Li, J. Opt. Soc. Am. B2018, 35, 2334. |
| [53] | Y.Makhlin, G.Schön, A.Shnirman, Rev. Mod. Phys.2001, 73, 357. |
| [54] | M.Hofheinz, H.Wang, M.Ansmann, R. C.Bialczak, E.Lucero, M.Neeley, A. D.O’Connell, D.Sank, J.Wenner, J. M.Martinis, A. N.Cleland, Nature2009, 459, 546. |
| [55] | M.Hofheinz, E. M.Weig, M.Ansmann, R. C.Bialczak, E.Lucero, M.Neeley, A. D.O’Connell, H.Wang, J. M.Martinis, A. N.Cleland, Nature2008, 454, 310. |
| [56] | B.Xiong, X.Li, X. Y.Wang, L.Zhou, Ann. Phys.2017, 385, 757. · Zbl 1372.81187 |
| [57] | T. A.Palomaki, J. D.Teufel, R. W.Simmonds, K. W.Lehnert, Science2013, 342, 710. |
| [58] | J. D.Teufel, D.Li, M. S.Allman, K.Cicak, A. J.Sirois, J. D.Whittaker, R. W.Simmonds, Nature2011, 471, 204. |
| [59] | T. T.Heikkilä, F.Massel, J.Tuorila, R.Khan, M. A.Sillanpää, Phys. Rev. Lett.2014, 112, 203603. |
| [60] | A. J.Rimberg, M. P.Blencowe, A. D.Armour, P. D.Nation, New J. Physics2014, 16, 055008. |
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.
