Geometrizing Quantum Dynamics of a Bose-Einstein Condensate
Abstract
We show that quantum dynamics of Bose-Einstein condensates in the weakly interacting regime can be geometrized by a Poincar\'e disk. Each point on such a disk represents a thermofield double state, the overlap between which equals the metric of this hyperbolic space. This approach leads to a unique geometric interpretation of stable and unstable modes as closed and open trajectories on the Poincar\'e disk, respectively. The resonant modes that...
Paper Details
Title
Geometrizing Quantum Dynamics of a Bose-Einstein Condensate
Published Date
Dec 15, 2020
Journal
Volume
125
Issue
25
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