Parity measurements, decoherence and spiky Wigner functions

Journal of Physics A: Mathematical and General

Volumn 37, Issue 24, 2004, Pages

  Ozorio De Almeida, A M ^a   Brodier, O ^a  

^a CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042679632     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/24/L03     Document Type: Article

References (22)

1. Englert B-G, Sterpi N and Walther H 1993 Parity states in the one-atom maser Opt. Commun. 100 526-35
2. Lutterbach L G and Davidovich L 1997 Method for direct measurement of the Wigner function in cavity QED and ion traps Phys. Rev. Lett. 78 2547-50
3. Bertet P, Auffeves A, Maioli P, Osnaghi S. Meunier T, Brune M, Raimond J M and Haroche S 2002 Direct measurement of the Wigner function of a one-photon Fock state in a cavity Phys. Rev. Lett. 89 200402
4. Giulini D, Joos E, Kiefer C, Kupsch J, Stamatescu I-O and Zeh H D 1996 Decoherence and the Appearance of a Classical World in Quantum Theory (Berlin: Springer)
5. Zurek W H 2003 Decoherence einselection and the quantum origins of the classical Rev. Mod. Phys. 75 715
6. de Olivieira M C and Munro W J 2000 Quantum computation with mesoscopic superposition states Phys. Rev. A 61 042309
7. de Olivieira M C 2003 Teleportation of Bose-Einstein condensates by controlled elastic collisions Phys. Rev. A 67 022307
8. Wigner E P 1932 On the quantum correction for thermodynamic equilibrium Phys. Rev. 40 749-59
9. Hillery M, O'Connel R F, Scully M O and Wigner E P 1984 Distribution functions in physics: fundamentals Phys. Rep. 106 121-67
10. Schleich W P 2001 Quantum Optics in Phase Space (Berlin: Wiley-VCH)
11. Royer A 1977 Wigner function as the expectation value of a parity operator Phys. Rev. A 15 449-50
12. Weyl H and Robertson H 1931 Theory of Groups and Quantum Mechanics (New York: Dover)
13. Grossman A 1976 Parity operator and quantization of δ-functions Commun Math. Phys. 48 191-4
14. Ozorio de Almeida A M 1998 The Weyl representation in classical and quantum mechanics Phys. Rep. 295 265-344
15. Cohen-Tannoudji C, Diu B and Lalo F 1977 Quantum Mechanics (New York/Paris: Wiley/Hermann)
16. Coxeter H S M 1961 Introduction to Geometry (New York: Wiley)
17. Diósi L and Kiefer C 2002 Exact positivity of the Wigner and P-functions of a Markovian open system J. Phys. A: Math. Gen. 35 2675-83
18. Brodier O and Ozorio de Almeida A M 2004 Symplectic evolution of Wigner functions in Markovian open systems Phys. Rev. E 69 016204
19. Englert B-G and Morigi G 2002 Five lectures on dissipative master equations Coherent Evolution in Noisy Environment (Lecture Notes in Physics) ed A Buchleitner and F Hornberger (Berlin: Springer)
20. Brune M, Haroche S, Raimond J-M, Davidovich L and Zagury N 1992 Manipulation of photons in a cavity by dispersive atom-field coupling: quantum-nondemolition measurements and generation of Schrödinger cat states Phys. Rev. A 45 5193
21. Zurek W H 2001 Sub-Planck structures in phase space and its relevance for quantum decoherence Nature 412 712-7
22. Bartelt H O, Brenner K-H and Lohmann A W 1980 The Wigner distribution and its optical production Opt. Commun. 32 32