The $\hbar\to 0$ limit of open quantum systems with general Lindbladians: vanishing noise ensures classicality beyond the Ehrenfest time
7 July 2023
C. Jess Riedel
Studies how open quantum systems transition to classical dynamics as Planck's constant goes to zero
Proves a correspondence between quantum and classical trajectories on long timescales
Uses a Gaussian mixture to approximate the quantum state
Identifies a threshold for environmental noise above which correspondence holds
The classical limit of open quantum systems with general Lindbladians
This paper studies how open quantum systems, which interact with their environment, transition to classical dynamics in the limit as Planck's constant goes to zero. It proves that when the environmental noise is above a threshold, quantum and classical trajectories on phase space remain close for times much longer than the Ehrenfest time. This is done by approximating the quantum state as a mixture of Gaussian wavepackets.
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