Published on:

7 July 2023

Primary Category:

Mathematical Physics

Paper Authors:

Felipe Hernández,

Daniel Ranard,

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.

Two-photon dissipative phase transition in a quantum oscillator

Classical motion from quantum wavefunction collapse

Quantum transport through partial barriers

Dynamic programming interpretation simplifies quantum mechanics

Quantum and classical oscillators interacting

Classical spacetime interacting with quantum matter

No comments yet, be the first to start the conversation...

Sign up to comment on this paper