Quantum trajectories under frequent measurements in non-Markovian environment

Abstract

In this work we generalize the quantum trajectory (QT) theory from Markovian to non-Markovian environments. We model the non-Markovian environment by using a Lorentzian spectral density function with bandwidth ($\Lambda$), and find perfect "scaling" property with the measurement frequency (${\tau }^{-1}$) in terms of the scaling variable $x=\Lambda \tau$. Our result bridges the gap between the existing QT theory and the Zeno effect, by rendering them as two extremes corresponding to $x\to \infty$ and $x\to 0$, respectively. This $x$-dependent criterion improves the idea of using $\tau$ alone, and quantitatively identifies the validity condition of the conventional QT theory.

6 pages, 2 figures; version published in PRA

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Cited by in corpus (3)

• Counting statistics of photon emissions detected in non-Markovian environment
• Theory for frequent measurements of spontaneous emissions in non-Markovian environment: beyond Lorentzian spectrum
• Quantum transfer through a continuum under continuous monitoring