Optimal monitoring of position in nonlinear quantum systems

1993/05/10 by Michael B. Mensky, Roberto Onofrio, Carlo Presilla · 2 citations
Computer Science · Physics and Astronomy · #Laser-Matter Interactions and Applications #Quantum Information and Cryptography #Quantum Mechanics and Applications #cond-mat #quant-ph

paper · pdf · doi:10.1103/physrevlett.70.2825

published as Phys.Rev.Lett. 70 (1993) 2825-2828 · 4 pages, REVTeX 3.0, 4 PostScript figures

openalex publication_date 1993/05/10 · arxiv created 1997/09/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss a model of repeated measurements of position in a quantum system which is monitored for a finite amount of time with a finite instrumental error. In this framework we recover the optimum monitoring of a harmonic oscillator proposed in the case of an instantaneous collapse of the wave function into an infinite-accuracy measurement result. We also establish numerically the existence of an optimal measurement strategy in the case of a nonlinear system. This optimal strategy is completely defined by the spectral properties of the nonlinear system.

Citations

• Quantum Zeno effect
• Continuous quantum monitoring of position of nonlinear oscillators

Cited by

• Quantum Zeno effect with the Feynman-Mensky path-integral approach
• Geometry of the Hilbert space and the quantum Zeno effect