Abstract
The continuous weak measurement of the energy of a single 2-level system driven by a resonant external field is studied. It is demonstrated that for appropriately adjusted fuzziness, information about the evolution of the state of the system ∣ψ(t)) can be read off from the measurement readout E(t). It is shown, furthermore, how a measurement of this type may be realized by a series of weak and short interactions of the 2-level system with a quantum-mechanical meter system.
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
H.D. Zeh, Found. Phys. 1, 69 (1970); 3, 109 (1973); E.B. Davies, Quantum Theory of Open Systems, Academic Press, London, New York, San Francisco, 1976; M.D. Srinivas, J. Math. Phys. 18, 2138 (1977); A. Peres, Continuous monitoring of quantum systems, in Information Complexity and Control in Quantum Physics, ed. by A. Blaquiere, S. Diner and G. Lochak, Springer, Wien, 1987, pp. 235; D.F. Walls and G.J. Milburn, Phys. Rev. A 31, 2403 (1985); E. Joos and H.D. Zeh, Z. Phys. B 59, 223 (1985); L. Diosi, Phys. Lett A 129, 419 (1988); H. Carmichael, An Open Systems Approach to Quantum Optics, Springer, Berlin, Heidelberg, 1993; A. Konetchnyi, M.B. Mensky and V. Namiot, Phys. Lett A 177, 283 (1993); A. Peres, Quantum Theory: Concepts and Methods, Kluwer, Dordrecht, 1993; P. Goetsch and R. Graham, Phys. Rev. A 50, 5242 (1994); R. Onofrio, C. Presilla and U. Tambini, Phys. Lett. A 183, 135 (1993); U. Tambini, C. Presilla and R. Onofrio, Phys. Rev. A 51, 967 (1995); T. Steimle and G. Alber, Phys. Rev. A 53, 1982 (1996).
J. Audretsch and M.B. Mensky, Phys. Rev. A 56, 44 (1997).
J. Audretsch, M.B. Mensky and V. Namiot, Phys. Lett. A237, 1 (1997).
J. Audretsch and M.B. Mensky, Realization scheme for continuous fuzzy measurement of energy and the monitoring of a quantum transition, quant-ph/9808062.
C. Presilla, R. Onofrio and U. Tambini, Ann. Phys. (USA) 248, 95 (1996).
M.B. Mensky, Phys. Rev. D 20, 384 (1979); Sov. Phys.-JETP 50, 667 (1979); M.B. Mensky, Continuous Quantum Measurements and Path Integrals, IOP, Bristol, 1993.
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
Audretsch, J. (2000). Continuous Fuzzy Measurement of Energy: Realization and Application. 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_3
Download citation
DOI: https://doi.org/10.1007/3-540-46657-6_3
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