On the correspondence principle: Implications from a study of the nonlinear dynamics of a macroscopic quantum device

New Journal of Physics

Volumn 11, Issue , 2009, Pages

  Everitt, M J ^a,b  

^a El Shorouk City   (Egypt)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPLICATIONS; DYNAMICS; QUANTUM CHEMISTRY; QUANTUM ELECTRONICS; QUANTUM OPTICS; SQUIDS; SUPERCONDUCTIVITY;

CHAOTIC DYNAMICS; CIRCUIT PARAMETERS; CLASSICAL DYNAMICS; CORRESPONDENCE PRINCIPLES; DEGREES OF FREEDOMS; GENERAL EXPRESSIONS; JOSEPHSON; MACROSCOPIC QUANTUM; NON LINEARITIES; NON-LINEAR DYNAMICS; QUANTUM CHAOS; QUANTUM SYSTEMS; QUANTUM TECHNOLOGIES; QUANTUM TRAJECTORIES; QUANTUM-INFORMATION PROCESSING; SEMICLASSICAL MODELS; SUPERCONDUCTING LOOPS; SUPERCONDUCTING QUANTUM INTERFERENCE DEVICES; WEAK LINKS;

CHAOTIC SYSTEMS;

EID: 60849111995     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/11/1/013014     Document Type: Article

References (35)

1. Spiller T P and Ralph J F 1994 Phys. Lett. A 194 235
2. Spiller T P, Clark T D, Prance H, Prance R J and Ralph J F 1995 The quantum to classical crossover for a weak link capacitor J. Low Temp. Phys. 101 279-303
3. Brun T A, Gisin N, O'Mahony P F and Rigo M 1997 Phys. Lett. A 229 267
4. Brun T A, Percival I C and Schack R 1996 J. Phys. A: Math. Gen. 29 2077
5. Zurek W H 2003 Rev. Mod. Phys. 75 715-75
6. Schack R, Brun T A and Percival I C 1995 J. Phys. A: Math. Gen. 28 5401
7. Everitt M 2007 Recovery of classical chaoticlike behavior in a conservative quantum three-body problem Phys. Rev. E 75 036217
8. Graham R, Schlautmann M and Shepelyansky D L 1991 Dynamical localization in Josephson junctions Phys. Rev. Lett. 67 255-8
9. Montangero S, Romito A, Benenti G and Fazio R 2005 Chaotic dynamics in superconducting nanocircuits Europhys. Lett. 71 893
10. Maity K and Lakshminarayan A 2006 Quantum chaos in the spectrum of operators used in Shor's algorithm Phys. Rev. E 74 035203
11. Lages J and Shepelyansky D L 2006 Suppression of quantum chaos in a quantum computer hardware Phys. Rev. E 74 026208
12. Kiss T et al 2006 Complex chaos in the conditional dynamics of qubits Phys. Rev. A 74 040301
13. Rossini D, Benenti G and Casati G 2006 Conservative chaotic map as a model of quantum many-body environment Phys. Rev. E 74 036209
14. Pozzo E N and Dominguez D 2007 Fidelity and quantum chaos in the mesoscopic device for the Josephson flux qubit Phys. Rev. Lett. 98 057006
15. Greenbaum B D, Habib S, Shizume K and Sundaram B 2007 Semiclassics of the chaotic quantum-classical transition Phys. Rev. E 76 046215
16. Everitt M J, Munro W J and Spiller T P 2008 The quantum-classical crossover of a field mode arXiv:0710.1983v2
17. Giannoni M, Voros A and Zinn-Justin J 1989 Chaos and Quantum Physics (Amsterdam: Elsevier)
18. Friedrich H and Wintgen D 1989 The hydrogen atom in a uniform magnetic field - an example of chaos Phys. Rep. 183 37-79
19. Dittrich T and Graham R 1990 Long time behavior in the quantized standard map with dissipation. Ann. Phys., NY 200 363-421
20. Carlo G, Benenti G, Casati G and Shepelyansky D 2005 Quantum ratchets in dissipative chaotic systems Phys. Rev. Lett. 94 164101
21. Habib S, Jacobs K and Shizume K 2006 Emergence of chaos in quantum systems far from the classical limit Phys. Rev. Lett. 96 010403
22. Merzbacher E 1998 Quantum Mechanics 3rd edn (New York: Wiley)
23. Frantsuz E T, Gorchakov Y D and Khavinson V M 1992 Measurements of the magnetic flux quantum, Planck constant, and elementary charge at VNIIM IEEE Trans. Instrum. Meas. 41 482-5
24. Likharev K 1986 Dynamics of Josephson Junctions and Circuits (London: Taylor and Francis)
25. Wiseman H M 1996 Quantum trajectories and quantum measurement theory Quantum Semiclass. Opt. 8 205-22
26. Percival I C 1998 Quantum State Diffusion (Cambridge: Cambridge University Press)
27. Jacobs K and Steck D A 2006 A straightforward introduction to continuous quantum measurement Contemp. Phys. 47 279-303
28. Barone A and Paterno G 1982 Physics and Applications of the Josephson Effect (New York: Wiley)
29. Habib S, Shizume K and Zurek W H 1998 Decoherence, chaos, and the correspondence principle Phys. Rev. Lett. 80 4361-5
30. Gisin N and Percival I C 1993 Quantum state diffusion, localization and quantum dispersion entropy J. Phys. A: Math. Gen. 26 2233-43
31. Gisin N and Percival I C 1993 The quantum state diffusion picture of physical processes J. Phys. A: Math. Gen. 26 2245-60
32. Brun T A, Percival I C and Schack R 1996 Quantum chaos in open systems: a quantum state diffusion analysis J Phys. A: Math. Gen. 29 2077-90
33. Brun T A, Gisin N, O'Mahony P F and Gigo M 1997 From quantum trajectories to classical orbits Phys. Lett. A 229 267-72
34. Carmichael H J 1993 An Open Systems Approach to Quantum Optics {Lecture Notes in Physics, vol 18) (Berlin: Springer)
35. Hegerfeldt G C 1993 How to reset an atom after a photon detection-applications to photon-counting processes Phys. Rev. A 47 449-55