Quantum jumps revisited: An overview of quantum trajectory theory
The quantum trajectory theory of photon scattering in quantum optics is reviewed. Two features of the theory which bear closely on issues of interpretation in quantum mechanics are emphasized: (1) there exist different unravellings of a scattering process which reveal complementary aspects of the dynamics in the interaction region, and (2) through the making of records via a stochastic implementation of a formalized quantum jump a self-consistent interface between a quantum evolution (in Hilbert space) and a classical evolution for the records (time series of real numbers) is achieved.
KeywordsCoherent State Master Equation Density Operator Cavity Mode Wigner Function
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- N. Bohr, H. A. Kramers, and J. C. Slater, Phil. Mag. 47, 785 (1924); Zs. f. Phys. 24, 69 (1924)Google Scholar
- See for example the articles by E. Schrödinger, H. Everett III, and E. Wigner in Quantum Theory of Measurement, edited by J. A. Wheeler and W. H. Zurek (Princeton University Press, Princeton, 1983), pp. 152–167, 315–323, 324–341.Google Scholar
- G. C. Hegerfeldt and T. S. Wilser, in Classical and Quantum Systems: Foundations and Symmetries, Proceedings of the II International Wigner Symposium, Golsar, Germany, 1991, edited by H. D. Doebner, W. Scherer, and F. Schroeck (World Scientific, Singapore, 1992), pp. 104–115.Google Scholar
- N. Gisin and I. C. Percival, in Experimental Metaphysics, edited by R. S. Cohen et al. (Kluwer, 1997), pp. 73–90.Google Scholar
- P. L. Kelly and W. H. Kleiner, Phys. Rev. 136, A316 (1964).Google Scholar
- Write (5) as \(\dot \rho\)= Lρ with L ≡ L0 + LIa + L Ib, where L 0 ≡ (i/iħ)(H B · − · H B†), LIa ≡ 2κ a a · a†, and LIb ≡ b · b†. The Dyson series is then developed with L0 as the free propagator and LIa and LIb treated as interaction terms.Google Scholar
- W. H. Zurek, in Physics Today, October 1991, pp. 36–44; several responses to this article appear in Letters to the Editor, Physics Today, April 1993.Google Scholar
- H. J. Carmichael, P. Kochan, and L. Tian, in Coherent States: Past, Present, and Future, edited by D. H. Feng, J. R. Klauder, and M. R. Strayer (World Scientific, Singapore, 1994), pp. 75–91.Google Scholar
- H. J. Carmichael, in Quantum Optics VI, edited by D. F. Walls and J. D. Harvey (Springer, Berlin, 1994).Google Scholar
- A review of recent work in cavity QED appears in Cavity Quantum Electrodynamics, edited by P. R. Berman (Academic Press, Boston, 1994).Google Scholar