Abstract
A method for building a Schrödinger cat-like state laser is here proposed which follows from the introduction of a particular reservoir engineering technique into the laser theory. Our method demands the building of an effective atom-field interaction in addition to the construction of an isomorphism between the cavity field operators in both the effective and the Jaynes-Cummings Hamiltonians. In other words, we build an isomorphism between the field operators of the conventional laser theory and those of our effective laser, in such a way that the stationary solution of the latter laser follows immediately from that of the former. Our Schrödinger Cat-like state laser presents zero diffusion from cavity losses.
Similar content being viewed by others
Data Availability Statement
This manuscript has associated data in a data repository. [Authors’ comment: The datasets generated and analysed during the current study are available from the corresponding author on reasonable request.].
References
T.H. Maiman, Nature 187, 493 (1960)
A.L. Schawlow, C. Townes, Phys. Rev. 112, 6 (1940)
H. Haken, Laser theory (Springer, Berlin, Heidelberg, 1984)
M. Sargent III., M.O. Scully, W.E. Lamb, Laser Phys. (Addison Wesley, Boston, 1974)
M.O. Scully, W.E. Lamb, Phys. Rev. 159, 208 (1967)
M. Lax, W.H. Louisell, Phys. Rev. 185, 568 (1969)
B. Baseia, H.M. Nussenzveig, Semiclassical Theory of Laser Transmission Loss. Optica Acta: Int. J. Opt. 31, 39 (1984)
Y.M. Golubov, I.V. Sokolov, Sov. Phys. JETP 60, 234 (1984)
Y. Yamamoto et al., Phys. Rev. 34, 4025 (1986)
F. Haake et al., Phys. Rev. 40, 7121 (1989)
J. Bergou et al., Opts. Commun. 72, 82 (1989)
B.L. Sahrp, R. Jowitt, S.T. Sparkes, A.P. Thorne, S.J. Walton, J. Anal. At. Spectrom. 7, 155R (1992)
J. Baudon, R. Mathevet, J. Robert, J. Phys. B Atomic Mol. Opt. Phys. 32, 173 (1999)
W.D. Phillips, Rev. Mod. Phys. 70, 721 (1998)
S. Chu, Rev. Mod. Phys. 70, 685 (1998)
C.N. Cohen-Tannoudji, Rev. Mod. Phys. 70, 707 (1998)
A. Ashkin, Phys. Rev. Lett. 24, 156 (1970)
A. Ashkin et al., Opt. Lett. 11, 288 (1986)
A. Ashkin et al., Nature 330, 769 (1987)
A. Ashkin, J.M. Dziedzic, Science 235, 1517 (1987)
W. Ketterle, Rev. Mod. Phys. 74, 1131 (2002)
E.A. Cornell, C.E. Wieman, Rev. Mod. Phys. 74, 875 (2002)
M. Nielsen, I. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000)
F. de Oliveira Neto, G.D. de Moraes Neto, M.H.Y. Moussa, Ann. Phys. 534, 2100072 (2022)
J.F. Poyatos et al., Phys. Rev. Lett. 77, 4728 (1996)
S. Huang, T. Zu, M. Liu, W. Huang, Sci. Rep. 7, 41988 (2017)
M.A. Tran, D. Huang, J.E. Bowers, APL Photon. 4, 111101 (2019)
S. Haroche, Rev. Mod. Phys. 85, 1083 (2013)
D.J. Wineland, Rev. Mod. Phys. 85, 1103 (2013)
C. Monroe, D.M. Meekhof, B.E. King, D.J. Wineland, Science 272, 1131 (1996)
M. Brune, E. Hagley, J. Dreyer, X. Maître, A. Maali, C. Wunderlich, J.M. Raimond, S. Haroche, Phys. Rev. Lett. 77, 4887 (1996)
D. Leibfried, E. Knill, S. Seidelin, J. Britton, R.B. Blakestad, J. Chiaverini, D.B. Hume, W.M. Itano, J.D. Jost, C. Langer, R. Ozeri, R. Reichle, D.J. Wineland, Nature 438, 639 (2005)
B. Vlastakis, G. Kirchmair, Z. Leghtas, S.E. Nigg, L. Frunzio, S.M. Girvin, M. Mirrahimi, M.H. Devoret, R.J. Schoelkopf, Science 342, 607 (2013)
A. Facon, E.-K. Dietsche, D. Grosso, S. Haroche, J.-M. Raimond, M. Brune, S. Gleyzes, Nature 535, 262 (2016)
A. Omran1, H. Levine1, A. Keesling, G. Semeghini, T. T. Wang, S. Ebadi, H. Bernien, A. S. Zibrov, H. Pichler, S. Choi, J. Cui, M. Rossignolo, P. Rembold, S. Montangero, T. Calarco6, M. Endres, M. Greiner, V. Vuletić, M. D. Lukin, Science 365, 570 (2019)
A. Grimm, N.E. Frattini, S. Puri, S.O. Mundhada, S. Touzard, M. Mirrahimi, S.M. Girvin, S. Shankar, M.H. Devoret, Nature 584, 205 (2020)
C.S. Muñoz, D. Jaksch, Phys. Rev. Lett. 127, 183603 (2021)
D.B. Horoshko, S.Y. Kilin, Phys. Rev. Lett. 78, 840 (1997)
J. Gea-Banacloche, Found. Phys. 28, 531 (1998)
Y. Yamamoto, A. Imamoglu, Mesoscopic Quantum Optics, Johns Wiley & Sons (1999)
M. Orszag, Quantum Optics (Springer, Berlin, 2008)
S. Ashhab, F. Nori, J.R. Johansson, A.M. Zagoskin, New J. Phys. 11, 0230303 (2009)
D.M. Lu, S.B. Zheng, Chin. Phys. Lett. 24, 1567 (2007)
O. Gamel, D.F.V. James, Phys. Rev. A 82, 052106 (2010)
D.F.V. James, J. Jerke, Can. J. Phys. 85, 625 (2007)
K. Vogel et al., Phys. Rev. Lett. 71, 1816 (1993)
Ch. Roos et al., Phys. Rev. Lett. 83, 4713 (1999)
C.J. Villas-Bôas et al., Phys. Rev. A 68, 053808 (2003)
F.O. Prado et al., EPL 107, 13001 (2014)
J.F. Poyatos et al., Phys. Rev. Lett. 77, 4728 (1996)
F.O. Prado et al., Phys. Rev. Lett. 102, 073008 (2009)
L.C. Celeri et al., J. Phys. B 41, 085504 (2008)
G.D. de Moares Neto et al., Phys. Rev. A 90, 062322 (2014)
R. F. Rossetti et al., Phys. Rev. A 90, 033840 (2014);Erratum Phys. Rev. A 93, 069904 (2016)
Acknowledgements
The authors would like to thank CAPES and INCT-IQ for support.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
de Oliveira Neto, F., de Ponte, M.A. & Moussa, M.H.Y. A Schrödinger cat-like state laser with zero diffusion. Eur. Phys. J. Plus 138, 762 (2023). https://doi.org/10.1140/epjp/s13360-023-04366-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-023-04366-7