Abstract
In the past ten-fifteen years, stochastic models of continuous wave function collapse were being proposed to describe the continuous emergence of classicality from quantum. We advocate that the hybrid dynamics of canonically coupled quantum and classical systems is a more basic concept. Continuous collapse formalisms are obtained as special cases. To illustrate our claim we show how von Neumann collapse follows from hybrid dynamical equations.
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
Sherry, T. N., Sudarshan, E. C. G. (1978) Interaction between classical and quantum systems: A new approach to quantum measurement I. Phys. Rev. D18, 4580–4589
von Neumann, J. (1932) Mathematische Grundlagen der Quantenmechanik. Springer, Berlin
Ghirardi, G. C, Rimini, A., Weber, T. (1986) Unified dynamics for microscopic and macroscopic systems. Phys. Rev. D34, 470–491
Bell, J. S. (1987) Are there quantum jumps? in Schrödinger, Centenary of a Polymath, ed. by C. W. Kilmister, Cambridge University Press
Diósi, L. (1989) Models for universal reduction of macroscopic quantum fluctuations. Phys. Rev. A40, 1165–1174
Gisin, N. (1989) Stochastic quantum dynamics and relativity. Helv. Phys. Acta 62, 363–3713
Pearle, P. (1989) Combining stochastic dynamical state-vector reduction with spontaneous localization. Phys. Rev. A39 2227–2289
Diósi, L., Gisin, N., Halliwell, J. J., Percival, I. C. (1995) Decoherent histories and quantum state diffusion. Phys. Rev. Lett. 74, 203–207
Mensky, M. B. (1979) Quantum restrictions for continuous observation of an oscillator. Phys. Rev. D20, 384–387
Barchielli, A. (1983) Continual measurements for quantum open systems. Nuovo Cim. B74 113–138
Diósi, L. (1988) Continuous quantum measurement and Ito-formalism. Phys. Lett. 129A, 419–423
Caves C. M., Milburn, G. J. (1987) Quantum-mechanical model for continous position measurements. Phys. Rev. A36, 5543–5555
Belavkin, V. P. (1989) A new wave equation for a continuous nondemolition measurement. Phys. Lett. A140, 355–358
Wiseman, H. M., Milburn, G. (1993) Quantum theory of field-quadrature measurements. Phys. Rev. A47 642–662
Peres, A. (1993) Quantum theory: concepts and methods. Kluwer, Dordrecht
Diósi, L. (1996) Exact semiclassical wave equations for stochastic quantum optics. Quant.Semiclass.Opt. 8, 309–314
Rosenfeld, L. (1963) On quantization of fields. Nucl. Phys. 40, 353–356
Hu, B. L., Matacz, A. (1995) Back reaction in semiclassical gravity: The Einstein-Langevin equation. Phys. Rev. D51, 1577–1586
Diósi, L., Halliwell, J. J. (1998) Coupling classical and quantum variables using continuous quantum measurement theory. Phys. Rev. Lett. 81, 2846–2849
Aleksandrov, I. V. (1981) The statistical dynamics of a system consisting of a classical and a quantum subsystem. Z.Naturf. 36A, 902–908
Boucher, W., Traschen, J. (1988) Semiclassical physics and quantum fluctuations. Phys.Rev. D37, 3522–3532
Diósi, L. (1995) Quantum dynamics with two Planck constants and the semi-classical limit, e-print quant-ph/9503023 (unpublished)
Diósi, L. (1995) A true equation to couple classical and quantum dynamics. e-print quant-ph/9510028 (unpublished)
Diósi, L., Gisin, N., Strunz, W. T. (1999) Royal road to coupling classical and quantum dynamics, (submitted to Phys. Rev. Lett.)
Diósi, L., Strunz, W. T. (1997) The non-Markovian stochastic Schrodinger equation for open systems. Phys. Lett. A235 569–573
Strunz, W. T., Diósi, L., Gisin, N. (1999) Open system dynamics with non-Markovian quantum trajectories. Phys. Rev. Lett. 82, 1801–1805
Giulini, D., Joos, E., Kiefer, C, Kupsch, J., Stamatescu, I.O., Zeh, H. D. (1996) Decoherence and the appearance of a classical world in quantum theory. Springer, Berlin
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Diósi, L. (2000). Emergence of Classicality: From Collapse Phenomenologies to Hybrid Dynamics. In: Blanchard, P., Joos, E., Giulini, D., Kiefer, C., Stamatescu, IO. (eds) Decoherence: Theoretical, Experimental, and Conceptual Problems. Lecture Notes in Physics, vol 538. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46657-6_19
Download citation
DOI: https://doi.org/10.1007/3-540-46657-6_19
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66899-2
Online ISBN: 978-3-540-46657-4
eBook Packages: Springer Book Archive