Hierarchy of local minimum solutions of Heisenberg's uncertainty principle

We derive a new hierarchy of local minimum Heisenberg-uncertainty states by introducing a superposition of "small waves" onto some initial state. Our objective is to increase the resolution in one observable, with the least decrease in the resolution in the conjugate observable. This leads...

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Bibliographic Details
Published in:Physical review letters 2000-12, Vol.85 (25), p.5263-5267
Main Authors: Hoffman, D K, Kouri, D J
Format: Article
Language:English
Subjects:
BOSE-EINSTEIN CONDENSATION
MANAGEMENT OF RADIOACTIVE WASTES, AND NON-RADIOACTIVE WASTES FROM NUCLEAR FACILITIES
MINIMIZATION
OPTICS
RESOLUTION
UNCERTAINTY PRINCIPLE
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Summary:We derive a new hierarchy of local minimum Heisenberg-uncertainty states by introducing a superposition of "small waves" onto some initial state. Our objective is to increase the resolution in one observable, with the least decrease in the resolution in the conjugate observable. This leads to a constrained minimization which in a well-defined sense yields the best possible way of achieving this goal. The results are relevant to many topics (e.g., quantum optics and control, Bose-Einstein condensation, path integration, etc.).
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.85.5263