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Quantum Hydrodynamics, Quantum Benjamin-Ono Equation, and Calogero Model

Alexander G. Abanov·Paul B. Wiegmann
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Abstract

Collective field theory for 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 -- quantum integrable Benjamin-Ono equation. It renders tools of integrable systems to studies of nonlinear dynamics of 1D quantum liquids.

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Alexander G. Abanov, Paul B. Wiegmann. 2005-04-03. Quantum Hydrodynamics, Quantum Benjamin-Ono Equation, and Calogero Model. https://doi.org/10.1103/physrevlett.95.076402

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