102 citations · 521 across the 9 of their papers we have counts for
9 papers · 1 filter
Integrable hydrodynamics of Calogero-Sutherland model: Bidirectional Benjamin-Ono equation
A. G. Abanov, E. Bettelheim, P. Wiegmann
We develop a hydrodynamic description of the classical Calogero-Sutherland liquid: a Calogero-Sutherland model with an infinite number of particles and a non-vanishing density of p…
Orthogonality catastrophe and shock waves in a non-equilibrium Fermi gas
E. Bettelheim, A. G. Abanov, P. Wiegmann
A semiclassical wave-packet propagating in a dissipationless Fermi gas inevitably enters a "gradient catastrophe" regime, where an initially smooth front develops large gradients a…
Flat spin wave dispersion in a triangular antiferromagnet
Oleg A. Starykh, Andrey V. Chubukov, Alexander G. Abanov
The excitation spectrum of a S=1/2 2D triangular quantum antiferromagnet is studied using 1/S expansion. Due to the non-collinearity of the classical ground state significant and n…
Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids
Eldad Bettelheim, Alexander G. Abanov, Paul Wiegmann
Using the Calogero model as an example, we show that the transport in interacting non-dissipative electronic systems is essentially non-linear. Non-linear effects are due to the cu…
Hydrodynamics of correlated systems. Emptiness Formation Probability and Random Matrices
Alexander G. Abanov
A hydrodynamic approach is used to calculate an asymptotics of the Emptiness Formation Probability - the probability of a formation of an empty space in the ground state of a quant…
Quantum Hydrodynamics, Quantum Benjamin-Ono Equation, and Calogero Model
Alexander G. Abanov, Paul B. Wiegmann
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 h…