Exact Dirac–Bogoliubov–de Gennes Dynamics for Inhomogeneous Quantum Liquids

P Moosavi - Physical Review Letters, 2023 - APS
We study inhomogeneous 1+ 1-dimensional quantum many-body systems described by
Tomonaga-Luttinger-liquid theory with general propagation velocity and Luttinger parameter …

Nonchiral intermediate long-wave equation and interedge effects in narrow quantum Hall systems

BK Berntson, E Langmann, J Lenells - Physical Review B, 2020 - APS
We present a nonchiral version of the intermediate long-wave (ILW) equation that can model
nonlinear waves propagating on two opposite edges of a quantum Hall system, taking into …

Anyons in a tight wave-guide and the Tonks-Girardeau gas

N Rougerie, Q Yang - SciPost Physics Core, 2023 - scipost.org
We consider a many-body system of 2D anyons, free quantum particles with general
statistics parameter $\alpha∈] 0, 2 [$. In the magnetic gauge picture they are described as …

Dimensional reduction for a system of 2D anyons

N Rougerie, Q Yang - Annales Henri Poincaré, 2024 - Springer
Anyons with a statistical phase parameter α∈(0, 2) are a kind of quasi-particles that, for
topological reasons, only exist in a 1D or 2D world. We consider the dimensional reduction …