270 citations · 1.7k across the 38 of their papers we have counts for
10 papers · 1 filter
Quantization of Hydrodynamics: Rotating Superfluid and Gravitational Anomaly
P. Wiegmann
We present a consistent scheme of quantization of chiral flows (flows with extensive vorticity) in ideal hydrodynamics in two dimensions. Chiral flows occur in rotating superfluid,…
Inner Nonlinear Waves and Inelastic Light Scattering of Fractional Quantum Hall States as Evidence of the Gravitational Anomaly
P. Wiegmann
We develop the quantum hydrodynamics of inner waves in the bulk of fractional quantum Hall states. We show that the inelastic light scattering by inner waves is a sole effect of th…
Emergent Conformal Symmetry of Quantum Hall States on Singular surfaces
M. Laskin, Y. H. Chiu, T. Can +1
We show that quantum Hall states on surfaces with conical singularities behave as conformal primaries near the singular points, with a conformal dimension controlled by the gravita…
Geometric adiabatic transport in quantum Hall states
Semyon Klevtsov, Paul Wiegmann
We argue that in addition to the Hall conductance and the nondissipative component of the viscous tensor, there exists a third independent transport coefficient, which is precisely…
Geometry of Quantum Hall States: Gravitational Anomaly and Kinetic Coefficients
T. Can, M. Laskin, P. Wiegmann
We show that universal transport coefficients of the fractional quantum Hall effect (FQHE) can be understood as a response to variations of spatial geometry. Some transport propert…
Hydrodynamics of Euler incompressible fluid and the Fractional Quantum Hall Effect
P. B. Wiegmann
We show that the Fractional Quantum Hall Effect can be phenomenologically described as a special flow of a quantum incompressible Euler liquid. This flow consists of a large number…
Quantum Hydrodynamics of Fractional Hall Effect: Quantum Kirchhoff Equations
P. Wiegmann
We argue that flows of the quantum electronic liquid in the Fractional Quantum Hall state are comprehensively described by the hydrodynamics of vortices in the quantum incompressib…
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…
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…
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…