Abstract
We study a pair of anharmonic optical cavities that is connected by an optical fiber. The photonic spectral density characterizes the evolution of the coupled cavities after the system has been prepared in a Fock or N00N state. We evaluate the photonic spectral density within the recursive projection method and find that the anharmonicity leads to a collapse of the low-energy spectrum. The level spacing of the remaining spectrum agrees quite well with that of the harmonic cavities, whereas the spectral weights are strongly affected by the anharmonicity.
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References
I. Bloch, Science 319, 202 (2008).
V. I. Yukalov, Laser Phys. 19, 1 (2009).
S. Trotzky, P. Cheinet, S. Folling, M. Feld, U. Schnorrberger, A. M. Rey, A. Polkovnikov, E. A. Demler, M. D. Lukin, and I. Bloch, Science 319, 295 (2008).
Y. Shin, M. Saba, A. Schirotzek, T. A. Pasquini, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, Phys. Rev. Lett. 92, 150401 (2004).
M. Albiez, R. Gati, J. Folling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, Phys. Rev. Lett. 95, 010402 (2005).
C. Kollath, A. M. Läuchli, and E. Altman, Phys. Rev. Lett. 98, 180601 (2007).
M. Rigol, V. Dunjko, V. Yurovsky, and M. Olshanii, Phys. Rev. Lett. 98, 050405 (2007).
S. R. Manmana, S. Wessel, R. M. Noack, and A. Muramatsu, Phys. Rev. Lett. 98, 210405 (2007).
M. Eckstein and M. Kollar, Phys. Rev. Lett. 100, 120404 (2008).
M. Kollar and M. Eckstein, Phys. Rev. A 78, 013626 (2008).
M. Möckel and S. Kehrein, Phys. Rev. Lett. 100, 175702 (2008).
V. I. Yukalov, Laser Phys. Lett. 8, 485 (2011).
V. I. Yukalov, A. Rakhimov, and S. Mardonov, Laser Phys. 21, 264 (2011).
G. Roux, Phys. Rev. A 79, 021608 (2009).
M. Rigol, Phys. Rev. A 82, 037601 (2010).
M. Brune, J. Bernu, C. Guerlin, S. Deléglise, C. Sayrin, S. Gleyzes, S. Kuhr, I. Dotsenko, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 101, 240402 (2008).
H. Wang, M. Hofheinz, M. Ansmann, R. C. Bialczak, E. Lucero, M. Neeley, A.D. OConnell, D. Sank, J. Wenner, A. N. Cleland, and J. M. Martinis, Phys. Rev. Lett. 101, 240401 (2008).
H. Carmichael, Nature Phys. 4, 346 (2008).
I. Schuster, A. Kubanek, A. Fuhrmanek, T. Puppe, P. H. W. Pinske, K. Murr, and G. Rempe, Nature Phys. 4, 382 (2008).
A. Imamoglu, H. Schmidt, G. Woods, and M. Deutsch, Phys. Rev. Lett. 79, 1467 (1997).
P. Grangier, D. F. Walls, and K. M. Gheri, Phys. Rev. Lett. 81, 2833 (1998).
M. J. Hartmann, F. G. S. L. Brandao, and M. B. Plenio, Nature Phys. 2, 849 (2006).
M. J. Hartmann, F. G. S. L. Brandao, and M. B. Plenio, Laser & Photon. Rev. 2, 527556 (2008).
A.-C. Ji, Q. Sun, X. C. Xie, and W. M. Liu, Phys. Rev. Lett. 102, 023602 (2009).
K. Ziegler, Phys. Rev. A 81, 034701 (2010).
E. T. Jaynes and F. W. Cummings, Proc. Inst. Elect. Eng. 51, 89 (1963).
F. W. Cummings, Phys. Rev. 140, A1051 (1965).
R. R. Puri and G. S. Argawal, Phys. Rev. A 33, 3610 (1985).
V. Buzek and I. Jex, J. Mod. Optics 36, 1427 (1989).
M. J. Werner and A. Imamoglu, Phys. Rev. A 61, 011801(R) (1999).
K. Ziegler, J. Phys. B: At. Mol. Opt. Phys. 44, 145302 (2011).
M. Cramer, C. M. Dawson, J. Eisert, and T. J. Osborne, Phys. Rev. Lett. 100, 030602 (2008).
C. E. Porter, Statistical Theories of Spectra: Fluctuations (Academic Press, New York, 1965).
M. L. Mehta, Random Matrices (Academic Press, New York, 1967).
T. A. Brody, et al., Rev. Mod. Phys. 53, 385 (1981).
J. J. Garca-Ripoll, P. Zoller, and J. I. Cirac, J. Phys. B: At. Mol. Opt. Phys. 38, S567 (2005).
D. J. Wineland and D. Leibfried, Laser Phys. Lett. 8, 175 (2011).
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Ziegler, K. Photonic spectral density of coupled optical cavities. Laser Phys. 22, 331–337 (2012). https://doi.org/10.1134/S1054660X1201032X
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DOI: https://doi.org/10.1134/S1054660X1201032X