Quantum hydrodynamics, the quantum Benjamin-Ono equation, and the Calogero model

Collective field theory for the Calogero model represents particles with fractional statistics in terms of hydrodynamic modes--density and velocity fields. We show that the quantum hydrodynamics of this model can be written as a single evolution equation on a real holomorphic Bose field--the quantum...

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Bibliographic Details
Published in:Physical review letters 2005-08, Vol.95 (7), p.076402.1-076402.4, Article 076402
Main Authors: ABANOV, Alexander G, WIEGMANN, Paul B
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
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Summary:Collective field theory for the Calogero model represents particles with fractional statistics in terms of hydrodynamic modes--density and velocity fields. We show that the quantum hydrodynamics of this model can be written as a single evolution equation on a real holomorphic Bose field--the quantum integrable Benjamin-Ono equation. It renders tools of integrable systems to studies of nonlinear dynamics of 1D quantum liquids.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.95.076402