Cavity optomechanics with cold atomic gas

Abstract

We present a tutorial review on the topics related to current development in cavity optomechanics, with special emphasis on cavity optomechanical effects with ultracold gases, Bose–Einstein condensates, and spinor Bose–Einstein condensates. Topics including the quantum model and nonlinearity of the cavity optomechanics, the principles of optomechanical cooling, radiation-pressure-induced nonlinear states, the chaotic dynamics in a condensate-mirror-hybrid optomechanical setup, and the spin-mixing dynamics controlled by optical cavities are covered.

Keywords

cavity optomechanics / Bose–Einstein condensate / spinor Bose–Einstein condensate / optical bistability

References

[1] E. F. Nichols and G. F. Hull, Phys. Rev. (Series I), 1901, 13: 301

[2] P. Lebedev, Annalen der Physik, 1901

[3] A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, and H. Walther, Phys. Rev. Lett., 1983, 51: 1550

[4] V. B. Braginsky and A. B. Manukin, Measurement of Weak Forces in Physics Experiments, Chicago: University of Chicago Press, 1977

[5] V. B. Braginsky and S. P. Vyatchanin, Phys. Lett. A, 2002, 293, 228

[6] R. Drever, G. Ford, J. Hough, I. Kerr, A. Munley, J. Pugh, N. Robertson, and H. Ward, in: Proceedings of the Ninth International Conference on General Relativ-ity and Gravitation, Jena, 14-19 July 1980, Cambridge: Cambridge University Press, 1983: 265

[7] A. Abramovici, W. E. Althouse, R. W. P. Drever, , Science, 1992, 256: 325

[8] C. Bradaschia, R. Del Fabbro, A. Di Virgilio, , Nuclear Instruments and Methods in Physics Research A, 1990, 289, 518

[9] T. J. Kippenberg and K. J. Vahala, Science, 2008, 321: 1172

[10] F. Marquardt and S. M. Girvin, Physics, 2009, 2: 40

[11] O. Arcizet, P. F. Cohadon, T. Briant, M. Pinard, and A. Heidmann, Nature (London), 2006, 444: 71

[12] S. Gigan, H. R. Böhm, M. Paternostro, F. Blaser, G. Langer, J. B. Hertzberg, K. C. Schwab, D. Baöerle, M. Aspelmeyer, and A. Zeilinger, Nature (London), 2006, 444: 67

[13] D. Kleckner and D. Bouwmeester, Nature (London), 2006, 444: 75

[14] A. Schliesser, P. Del’Haye, N. Nooshi, K. J. Vahala, and T. J. Kippenberg, Phys. Rev. Lett., 2006, 97: 243905

[15] T. Corbitt, C. Wipf, T. Bodiya, D. Ottaway, D. Sigg, N. Smith, S. Whitcomb, and N. Mavalvala, Phys. Rev. Lett., 2007, 99: 160801

[16] F. Marquardt, J. P. Chen, A. A. Clerk, and S. M. Girvin, Phys. Rev. Lett., 2007, 99: 093902

[17] A. Schliesser, R. Rivi′ere, G. Anetsberger, O. Arcizet, and T. J. Kippenberg, Nat. Phys., 2008, 4: 415

[18] J. D. Teufel, J. W. Harlow, C. A. Regal, and K. W. Lehnert, Phys. Rev. Lett., 2008, 101: 197203

[19] J. M. Dobrindt, Wilson-Rae, and T. J. Kippenberg, Phys. Rev. Lett., 2008, 101: 263602

[20] B. Abbott, R. Abbott, R. Adhikari, , New J. Phys., 2009, 11: 073032

[21] S. Pirandola, D. Vitali, P. Tombesi, and S. Lloyd, Phys. Rev. Lett., 2006, 97: 150403

[22] K. Hammerer, M. Aspelmeyer, E. S. Polzik, and P. Zoller, Phys. Rev. Lett., 2009, 102: 020501

[23] A. Geraci and J. Kitching, Phys. Rev. A, 2009, 80: 032317

[24] S. Mancini, V. I. Man’ko, and P. Tombesi, Phys. Rev. A, 1997, 55: 3042

[25] S. Bose, K. Jacobs, and P. L. Knight, Phys. Rev. A, 1997, 56: 4175

[26] W. Marshall, C. Simon, R. Penrose, and D. Bouwmeester, Phys. Rev. Lett., 2003, 91: 130401

[27] S. Mancini, V. Giovannetti, D. Vitali, and P. Tombesi, Phys. Rev. Lett., 2002, 88: 120401

[28] S. Pirandola, S. Mancini, D. Vitali, and P. Tombesi, Phys. Rev. A, 2003, 68: 062317

[29] M. Paternostro, D. Vitali, S. Gigan, M. S. Kim, C. Brukner, J. Eisert, and M. Aspelmeyer, Phys. Rev. Lett., 2007, 99: 250401

[30] C. Genes, D. Vitali, and P. Tombesi, Phys. Rev. A, 2008, 77: 050307

[31] S. Bose, Phys. Rev. Lett., 2006, 96: 060402

[32] J. R. Friedman, V. Patel, W. Chen, S. K. Tolpygo, and J. E. Lukens, Nature (London), 2000, 406: 43

[33] A. Naik, O. Buu, M. D. LaHaye, A. D. Armour, A. A. Clerk, M. P. Blencowe, and K. C. Schwab, Nature (London), 2006, 443: 193

[34] K. R. Brown, J. Britton, R. J. Epstein, J. Chiaverini, D. Leibfried, and D. J. Wineland, Phys. Rev. Lett., 2006, 97: 133601

[35] I. Wilson-Rae, P. Zoller, and A. Imamoglu, Phys. Rev. Lett., 2004, 92: 075507

[36] K. W. Murch, K. L. Moore, S. Gupta, and D. M. Stamper-Kurn, Nat. Phys., 2008, 4: 561

[37] T. P. Purdy, D. W. C. Brooks, T. Botter, N. Brahms, Z.-Y. Ma, and D. M. Stamper-Kurn, Phys. Rev. Lett., 2010, 105: 133602

[38] F. Brennecke, S. Ritter, T. Donner, and T. Esslinger, Science, 2008, 322: 235

[39] F. Brennecke, T. Donner, S. Ritter, T. Bourdel, M. Köhl, and T. Esslinger, Nature (London), 2007, 450: 268

[40] L. Zhou, H. Pu, H. Y. Ling, and W. Zhang, Phys. Rev. Lett., 2009, 103: 160403

[41] L. Zhou, H. Pu, H.-Y. Ling, K. Zhang, and W. Zhang, Phys. Rev. A, 2010, 81: 063641

[42] P. Treutlein, D. Hunger, S. Camerer, T. W. Hänsch, and J. Reichel, Phys. Rev. Lett., 2007, 99: 140403

[43] D. Hunger, S. Camerer, T. W. Hänsch, D. König, Jörg, P. Kotthaus, J. Reichel, and P. Treutlein, Phys. Rev. Lett., 2010, 104: 143002

[44] L. Tian and P. Zoller, Phys. Rev. Lett., 2004, 93: 266403

[45] H. Ian, Z. R. Gong, Y. X. Liu, C. P. Sun, and F. Nori, Phys. Rev. A, 2008, 78: 013824

[46] W. Chen, K. Zhang, D. S. Goldbaum, M. Bhattacharya, and P. Meystre, Phys. Rev. A, 2009, 80: 011801

[47] K. Zhang, W. Chen, M. Bhattacharya, and P. Meystre, Phys. Rev. A, 2010, 81: 013802

[48] A. J. Leggett and A. Garg, Phys. Rev. Lett., 1985, 54: 857

[49] P. A. M. Neto and D. A. R. Dalvit, Phys. Rev. A, 2000, 62: 042103

[50] W. H. Zurek, Rev. Mod. Phys., 2003, 75: 715

[51] D. Rugar, R. Budakian, H. J. Mamin, and B. W. Chui, Nature (London), 2004, 430: 329

[52] P. Rabl, P. Cappellaro, M. V. G. Dutt, L. Jiang, J. R. Maze, and M. D. Lukin, Phys. Rev. B, 2009, 79: 041302

[53] M. D. LaHaye, J. Suh, P. M. Echternach, K. C. Schwab, and M. L. Roukes, Nature (London), 2009, 459: 960

[54] M. Bhattacharya, S. Singh, P. Giscard, and P. Meystre, Laser Physics, 2010, 20: 57

[55] Y.-J. Wang, M. Eardley, S. Knappe, J. Moreland, L. Hollberg, and J. Kitching, Phys. Rev. Lett., 2006, 97: 227602

[56] K. Hammerer, M. Wallquist, C. Genes, M. Ludwig, F. Marquardt, P. Treutlein, P. Zoller, J. Ye, and H. J. Kimble, Phys. Rev. Lett., 2009, 103: 063005

[57] S. Singh, M. Bhattacharya, O. Dutta, and P. Meystre, Phys. Rev. Lett., 2008, 101: 263603

[58] C. K. Law, Phys. Rev. A, 1995, 51: 2537

[59] M. Pinard, Y. Hadjar, and S. Girvin, Eur. Phys. J. D, 1999, 7: 107

[60] V. Giovannetti and D. Vitali, Phys. Rev. A, 2001, 63: 023812

[61] C. Gardiner and P. Zoller, Quantum Noise, Springer, 2004

[62] D. Walls and G. J. Milburn, Quantum Optics, 2nd Ed., Springer, 1995

[63] P. Meystre and M. Sargent-III, Elements of Quantum Optics, 4th Ed., Springer, 2007

[64] P. Meystre, E. M. Wright, J. D. McCullen, and E. Vi-gnes, J. Opt. Soc. Am. B, 1985, 2: 1830

[65] R. Bonifacio and P. Meystre, Opt. Commun., 1979, 29: 131

[66] K. Zhang, W. Chen, and P. Meystre, Opt. Commun., 2010, 283: 665

[67] T. Carmon, H. Rokhsari, L. Yang, T. J. Kippenberg, and K. J. Vahala, Phys. Rev. Lett., 2005, 94: 223902

[68] T. Carmon, M. C. Cross, and K. J. Vahala, Phys. Rev. Lett., 2007, 98: 167203

[69] S. Mancini, D. Vitali, and P. Tombesi, Phys. Rev. Lett., 1998, 80: 688

[70] P. F. Cohadon, A. Heidmann, and M. Pinard, Phys. Rev. Lett., 1999, 83: 3174

[71] T. Kippenberg and K. Vahala, Optics Express, 2007, 15: 17172

[72] D. Vitali, S. Gigan, A. Ferreira, H. R. Böhm, P. Tombesi, A. Guerreiro, and V. Vedral, Phys. Rev. Lett., 2007, 98: 030405

[73] R. Simon, N. Mukunda, and B. Dutta, Phys. Rev. A, 1994, 49: 1567

[74] G. Adesso, A. Sera.ni, and F. Illuminati, Phys. Rev. A, 2004, 70: 022318

[75] R. Simon, Phys. Rev. Lett., 2000, 84: 2726

[76] C. Fabre, M. Pinard, S. Bourzeix, A. Heidmann, E. Giacobino, and S. Reynaud, Phys. Rev. A, 1994, 49: 1337

[77] J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris, Nature (London), 2008, 452: 72

[78] M. Bhattacharya, H. Uys, and P. Meystre, Phys. Rev. A, 2008, 77: 033819

[79] R. Hilborn, Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers, 2nd Ed., Oxford: Oxford University Press, 2001

[80] H. J. Korsch, H. J. Jodl, and T. Hartmann, Chaos, 3rd Ed., Springer, 2008

[81] D. M. Stamper-Kurn, M. R. Andrews, A. P. Chikkatur, S. Inouye, H.-J. Miesner, J. Stenger, and W. Ketterle, Phys. Rev. Lett., 1998, 80: 2027

[82] T. Ohmi and K. Machida, J. Phys. Soc. Jap., 1998, 67: 1822

[83] T.-L. Ho, Phys. Rev. Lett., 1998, 742: 81

[84] W. Zhang and D. F. Walls, Phys. Rev. A, 1998, 57: 1248

[85] F. Brennecke, T. Donner, S. Ritter, T. Bourdel, M. Köhl, and T. Esslinger, Nature (London), 2007, 450: 268

[86] G. Szirmai, D. Nagy, and P. Domokos, Phys. Rev. Lett., 2009, 102: 080401

[87] P. Horak, S. M. Barnett, and H. Ritsch, Phys. Rev. A, 2000, 61: 033609

[88] P. Horak and H. Ritsch, Phys. Rev. A, 2001, 63: 023603

[89] J. M. Zhang, W. M. Liu, and D. L. Zhou, Phys. Rev. A, 2008, 77: 033602

[90] J. M. Zhang, W. M. Liu, and D. L. Zhou, Phys. Rev. A, 2008, 78: 043618

[91] M.-S. Chang, Q. Qin, W. Zhang, L. You, and M. S. Chapman, Nat. Phys., 2005, 1: 111

[92] A. T. Black, E. Gomez, L. D. Turner, S. Jung, and P. D. Lett, Phys. Rev. Lett., 2007, 99: 070403

[93] W. Zhang, D. L. Zhou, M.-S. Chang, M. S. Chapman, and L. You, Phys. Rev. A, 2005, 72: 013602

[94] D. R. Romano and E. J. V. de Passos, Phys. Rev. A, 2004, 70: 043614

[95] R. W. Boyd, Nonlinear Optics, San Diego, CA: Academic Press, 2003

[96] S. Gupta, K. L. Moore, K. W. Murch, and D. M. Stamper-Kurn, Phys. Rev. Lett., 2007, 99: 213601

[97] J. M. Higbie, L. E. Sadler, S. Inouye, A. P. Chikkatur, S. R. Leslie, K. L. Moore, V. Savalli, and D. M. Stamper-Kurn, Phys. Rev. Lett., 2005, 95: 050401

[98] C. K. Law, H. Pu, and N. P. Bigelow, Phys. Rev. Lett., 1998, 81: 5257

[99] H. Pu, C. K. Law, S. Raghavan, J. H. Eberly, and N. P. Bigelow, Phys. Rev. A, 1999, 60: 1463

[100] H. Pu, S. Raghavan, and N. P. Bigelow, Phys. Rev. A, 2000, 61: 023602

[101] S. Habib, K. Jacobs, H. Mabuchi, R. Ryne, K. Shizume, and B. Sundaram., Phys. Rev. Lett., 2002, 88: 040402

[102] I. Katz, A. Retzker, R. Straub, and R. Lifshitz, Phys. Rev. Lett., 2007, 99: 040404

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