Stochastic master equation for a probed system in a cavity

Abstract

We present a detailed derivation of the stochastic master equation determining the time evolution of the state of a general quantum system, which is placed inside a cavity and subjected to indirect measurements by monitoring the state of electromagnetic radiation transmitted through the cavity. The derivation is based on the physics involved and the final result is stated in terms of the physical parameters of the setup. To illustrate the predictions contained in the equation, we solve it analytically for a specific system, and we demonstrate quantum jumps and freezing of the internal coherent dynamics of the system as a result of continued measurements.

10 pages, 5 figures

References in corpus (4)

• Strong atom-field coupling for Bose-Einstein condensates in an optical cavity on a chip
• Cavity QED with a Bose-Einstein condensate
• Quantum Feedback Control of Atomic Motion in an Optical Cavity
• Multimode analysis of the light emitted from a pulsed optical parametric oscillator

Cited by in corpus (1)

• Atomic spin squeezing in an optical cavity