Continuous Quantum Monitoring of Position of Nonlinear Oscillators

Abstract

Application of the path-integral approach to continuous measurements leads to effective Lagrangians or Hamiltonians in which the effect of the measurement is taken into account through an imaginary term. We apply these considerations to nonlinear oscillators with use of numerical computations to evaluate quantum limitations for monitoring position in such a class of systems.

10 pages, REVTeX 3.0, 4 PostScript figures

References in corpus (1)

• Nonlinear feedback oscillations in resonant tunneling through double barriers

Cited by in corpus (10)

• Non-Hermitian Physics
• Quantum Zeno Effect with the Feynman-Mensky Path-Integral Approach
• Optimal Monitoring of Position in Nonlinear Quantum Systems
• Pitfalls of Path Integrals: Amplitudes for Spacetime Regions and the Quantum Zeno Effect
• Stochastic Path Integral Analysis of the Continuously Monitored Quantum Harmonic Oscillator
• Exceptional points and quantum correlations in precise measurements
• Amplitudes for Spacetime Regions and the Quantum Zeno Effect: Pitfalls of Standard Path Integral Constructions
• Violation of the "information-disturbance relationship" in finite-time quantum measurements
• Quantum measurements and Paul traps in gravitational backgrounds
• Decoherence and continuous measurements: Phenomenology and models