Extending the Concept of Probability Flux
Douglas J. Mason, Mario F. Borunda, and Eric J. Heller

TL;DR
This paper introduces the Husimi map as a new visualization tool for quantum wavefunctions, providing insights into classical dynamics through phase space analysis, and demonstrates its effectiveness on various quantum systems.
Contribution
It extends the concept of probability flux by developing the Husimi map, offering a robust and flexible alternative for visualizing quantum phase space dynamics.
Findings
Husimi map complements traditional flux maps for small coherent states
It effectively visualizes classical dynamics underlying quantum states
Demonstrated on bound and open quantum systems with electromagnetic fields
Abstract
We develop the Husimi map for visualizing quantum wavefunctions using coherent states as a measurement of the local phase space to produce a vector field related to the probability flux. Adapted from the Husimi projection, the Husimi map is complimentary to the usual flux map, since they are identical for small coherent states. By improving our understanding of the flux operator and offering a robust and flexible alternative, we show how the Husimi projection can provide a map to the classical dynamics underlying a quantum wavefunction. We demonstrate its capabilities on bound systems with electromagnetic fields, as well as on open systems on and off resonance.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Scientific Research and Discoveries · Protein Structure and Dynamics
