Schrödinger cat states and single runs for the damped harmonic oscillator

1994/07/04 by Peter Goetsch, Robert Graham, Fritz Haake · 46 citations
Mathematics · Physics and Astronomy · #Anharmonicity #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Harmonic #Harmonic oscillator #Mathematics #Physics #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Quantum electrodynamics #Quantum mechanics #Schrödinger's cat #gr-qc

paper · pdf · doi:10.1103/physreva.51.136

published in Physical Review A 51(1), 136-142 (American Physical Society) · 18, Revtex

arxiv created 1994/07/04 · openalex publication_date 1995/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We discuss the fate of initial states of the Schr"odinger cat type for the damped harmonic oscillator, mostly employing a linear version of the stochastic Schr"odinger equation. We also comment on how such cat states might be prepared and on the relation of single realizations of the noise to single runs of experiments.

Citations

• Monte Carlo wave-function method in quantum optics
• Classical motion of meter variables in the quantum theory of measurement
• Input and output in damped quantum systems: Quantum stochastic differential equations and the master equation

Cited by

• Quantum Trajectories, State Diffusion, and Time-Asymmetric Eventum Mechanics
• The quantum-jump approach to dissipative dynamics in quantum optics
• Predictability sieve, pointer states, and the classicality of quantum trajectories
• Conditional quantum dynamics with several observers