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arXiv:quant-ph/9812078 · Lecture notes in physics

Decoherence and Continuous Measurements: Phenomenology and Models

Michael B. Mensky

Published Jan 1, 2000• 0 citations
arXivHTMLPDF
DOI
10.1007/3-540-46657-6_11

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List of Figures. Preface. 1. Introduction. I: The Nature of Quantum Measurements. 2. The Physics Behind Quantum Measurements. 3. Measurement induced uncertainties. II: Continuous Quantum Measurements: Theory. 4. Continuous Quantum Measurements: The General Notion. 5. Fuzzy Continuous Measurements: Phenomenology. 6. Restricted Path Integrals: General Features. III: Continuous Quantum Measurements: Applications. 7. The Monitoring of Energy. 8. Monitoring by a series of observations. 9. The Quantum Zeno effect in a passive setup. IV: Conceptual Problems and Prospects. 10. RPI and the Philosophy of Quantum Mechanics. 11. Conclusion: New Prospects. A. The Formalism of Quantum Mechanics. References. Index.
AbstractThis study treats quantum measurement not as a process that must produce an instantaneous ontological collapse, but as an open-system process that spatially narrows a specified measurement record and stabilizes it against subsequent spreading. The proposed phenomenological model combines system-environment mutual information, the effective number of distinguishable record modes, and the independently calibrated effective collective mass of the pointer coordinate in a single localization-rate ansatz. Conditional continuous measurement reduces the position variance while producing momentum backaction; a large effective mass slows kinetic dispersion; and confinement and damping permit a finite stationary width. The model distinguishes screen detection from which-path recording and produces no additional decoherence in the zero-which-path-information limit. For Gaussian states, a closed covariance system, stationary width, energy balance, visibility law, and a post-measurement free-expansion test are provided. The claim is not an ontological solution to the collapse problem, but a new, operational, and falsifiable scaling proposal for the formation of stable spatial records. In addition, the ansatz is matched to the position-diffusion coefficient obtained from a linear system-environment interaction in the Born-Markov limit, and a quantitative record-information test is identified that distinguishes the proposal from GRW, CSL, Diosi-Penrose, and standard continuous-measurement scalings.