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The classical limit of open quantum systems with general Lindbladians

Paper Authors:

Felipe Hernández,

Daniel Ranard,

C. Jess Riedel

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Key Details

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

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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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