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

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

2005-04-03

arxiv.org/abs/cond-mat/0504041v1

Phys.Rev.Lett. 95 (2005) 076402

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.95.076402

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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