Abstract
Stochastic Schrödinger equations provide qualitative and quantitative descriptions of the quantum-classical cross-over. We illustrate this with the regular harmonic oscillator and with a classically chaotic example.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
T.P. Spiller and J.F. Ralph, Phys. Lett. A 194, 235 (1994).
T.P. Spiller, J.F. Ralph, T.D. Clark, R.J. Prance, and H. Prance, J. Low Temp. Phys. 101, 1037 (1995).
N. Gisin and M. Rigo, J. Phys. A 28, 7375–7390 (1995).
M. Rigo and N. Gisin, Quant. Semiclass. Opt. 8(1), 255 (1996).
T.A. Brun, Phys. Lett. A 206, 167 (1995).
T.A. Brun, J. Phys. A 29, 2077 (1995).
M. Rigo, G. Alber, F. Mota-Furtado, and P.F. O’Mahony, submitted to Phys. Rev. A.
E. Joos and H.D. Zeh, Z. Phys. B 59, 223 (1985).
W.H. Zurek, Phys. Today 36, October 1991.
G.C. Ghirardi, A. Rimini, and T. Weber, Phys. Rev. D 34, 470 (1986).
N. Gisin and I.C. Percival, J. Phys. A 25, 5677 (1992); J. Phys. A 26, 2233 (1993); J. Phys. A 26, 2245 (1993).
J. Dalibard, Y. Castin, and K. Molmer, Phys. Rev. Lett. 68, 580 (1992); see also J. Opt. Soc. Am. 10, 524 (1993).
H.J. Carmichael, An Open Systems Approach to Quantum Optics ( Lecture Notes in Physics) (Springer, Berlin, 1993).
H.M. Wiseman and G.J. Milburn, Phys. Rev. A 47, 642 (1993).
P.L. Knight and B. Garraway, in Quantum Dynamics of Simple Systems, G.L. Oppo et al., eds. (44th Scottish University Summer School in Physics, 1996), pp. 199–237
T.A. Brun, N. Gisin, P.F. O’Mahony, and M. Rigo, quant-ph/9608038, Phys. Lett. A, in press, 1997.
I.C. Percival, J. Phys. A 27, 1003 (1994).
J.J. Halliwell and A. Zoupas, Phys. Rev. D 52, 7294 (1995).
R. Schack, T. Brun, and I.C. Percival, J. Phys. A 28, 5401 (1995).
T. Steimle, G. Alber, and I.C. Percival, J. Phys. A 28, L491 (1995).
M. Holland, S. Marksteiner, P. Marte, and P. Zoller, Phys. Rev. Lett. 76, 3683 (1996).
M. Rigo and N. Gisin, Quant. Semiclass. Opt 8, 255–268 (1996).
M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, Berlin, 1990). J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer, Berlin, 1983).
R. Griffiths, J. Stat Phys. 36, 219 (1984); R. Omnès, Rev. Mod. Phys. 64, 339 (1992); H.F. Dowker and J.J. Halliwell, Phys. Rev. D 46, 1580 (1992); M. Gell-Mann and J.B. Hartle, Phys. Rev. D 47, 3345 (1993).
L. Diósi, N. Gisin, J.J. Halliwell, and I.C. Percival, Phys. Rev. Lett. 21, 203 (1995).
T.A. Brun, quant-ph/9606025, submitted to Phys. Rev. Lett.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Gisin, N., Brun, T.A., Rigo, M. (1997). From Quantum to Classical: The Quantum State Diffusion Model. In: Ferrero, M., van der Merwe, A. (eds) New Developments on Fundamental Problems in Quantum Physics. Fundamental Theories of Physics, vol 81. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5886-2_19
Download citation
DOI: https://doi.org/10.1007/978-94-011-5886-2_19
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6487-3
Online ISBN: 978-94-011-5886-2
eBook Packages: Springer Book Archive