Abstract
We propose a method to measure the quantum state of a single mode of the electromagnetic field. The method is based on the interaction of the field with a probe qubit. The qubit polarizations along coordinate axes are functions of the interaction time and from their Fourier transform we can in general fully reconstruct pure states of the field and obtain partial information in the case of mixed states. The method is illustrated by several examples, including the superposition of Fock states, coherent states, and exotic states generated by the dynamical Casimir effect.
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References
U. Fano, Rev. Mod. Phys. 29, 74 (1957)
G.M. D’Ariano, M.G.A. Paris, M.F. Sacchi, Adv. Imag. Elect. Phys. 128, 205 (2003)
Quantum State Estimation, Lecture Notes in Physics, edited by M.G.A. Paris, J. Řehcáˇek (Springer, Berlin Heidelberg, 2004), Vol. 649
G.M. D’Ariano, L. Maccone, M.F. Sacchi, in Quantum information with continuous variables of atoms and light, edited by N.J. Cerf, G. Leuchs, E.S. Polzik (World Scientific, Singapore, 2007)
A.I. Lvovsky, M.G. Raymer, Rev. Mod. Phys. 81, 299 (2009)
S.N. Filippov, V.I. Man’ko, Phys. Scripta 3, 058101 (2011)
L.G. Lutterbach, L. Davidovich, Phys Rev. Lett. 78, 2547 (1997)
B.T.H. Varcoe, S. Brattke, B.-G. Englert, H. Walther, Fortschr. Phys. 48, 679 (2000)
S. Olivares, F. Casagrande, A. Lulli, M.G.A. Paris, Europhys. Lett. 80, 64002 (2007)
S. Deléglise, I. Dotsenko, C. Sayrin, J. Bernu, M. Brune, J.-M. Raimond, S. Haroche, Nature 455, 510 (2008)
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)
T. Tufarelli, A. Ferraro, M.S. Kim, S. Bose, Phys. Rev. A 85, 032334 (2012)
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, Nature 454, 310 (2008)
P. Meystre, M. Sargent III, Elements of quantum optics, 4th edn. (Springer-Verlag, Berlin, 2007)
G. Benenti, G. Casati, G. Strini, Principles of Quantum Computation and Information (World Scientific, Singapore, 2004), Vol. I: Basic concepts
G. Benenti, G. Casati, G. Strini, Principles of Quantum Computation and Information (World Scientific, Singapore, 2007), Vol. II: Basic tools and special topics
G.T. Moore, J. Math. Phys. 11, 2679 (1970)
V.V. Dodonov, Phys. Scripta 82, 038105 (2010)
P.D. Nation, J.R. Johansson, M.P. Blencowe, F. Nori, Rev. Mod. Phys. 84, 1 (2012)
C.M. Wilson, G. Johansson, A. Pourkabirian, M. Simoen, J.R. Johansson, T. Duty, F. Nori, P. Delsing, Nature 479, 376 (2011)
P. Lähteenmäki, G.S. Paraoanu, J. Hassel, P.J. Hakonen, Proc. Natl. Acad. Soc. 110, 4234 (2013)
J.-C. Jaskula, G.B. Partridge, M. Bonneau, R. Lopes, J. Ruaudel, D. Boiron, C.I. Westbrook, Phys. Rev. Lett. 109, 220401 (2012)
S. Koghee, M. Wouters, Phys. Rev. Lett. 112, 036406 (2014)
S. Felicetti, M. Sanz, L. Lamata, G. Romero, G. Johansson, P. Delsing, E. Solano, Phys. Rev. Lett. 113, 093602 (2014)
R. Stassi, S. De Liberato, L. Garziano, B. Spagnolo, S. Savasta, Phys. Rev. A 92, 013830 (2015)
G. Benenti, A. D’Arrigo, S. Siccardi, G. Strini, Phys. Rev. A 90, 052313 (2014)
C. Sabín, G. Adesso, Phys. Rev. A 92, 042107 (2016)
G. Benenti, G. Strini, Phys. Rev. A 91, 020502(R) (2015)
G. Benenti, S. Siccardi, G. Strini, Eur. Phys. J. D 68, 139 (2014)
C. Ciuti, G. Bastard, I. Carusotto, Phys. Rev. B 72, 115303 (2005)
G. Falci, A. D’Arrigo, A. Mastellone, E. Paladino, Phys. Rev. Lett. 94, 167002 (2005)
A. D’Arrigo, R. Lo Franco, G. Benenti, E. Paladino, G. Falci, Ann. Phys. 350, 211 (2014)
A. Orieux, A. D’Arrigo, G. Ferranti, R. Lo Franco, G. Benenti, E. Paladino, G. Falci, F. Sciarrino, P. Mataloni, Sci. Rep. 5, 8575 (2015)
S.K. Manikandan, V. Jagadish, A. Shaji, arXiv:1507.00583 [quant-ph] (2015)
D.S. Abrams, S. Lloyd, Phys. Rev. Lett. 83, 5162 (1999)
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Angaroni, F., Benenti, G. & Strini, G. Reconstruction of electromagnetic field states by a probe qubit. Eur. Phys. J. D 70, 225 (2016). https://doi.org/10.1140/epjd/e2016-70386-y
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DOI: https://doi.org/10.1140/epjd/e2016-70386-y