Ground-state energy and excitation spectrum of the Lieb-Liniger model: accurate analytical results and conjectures about the exact solution
G Lang, F Hekking, A Minguzzi - SciPost Physics, 2017 - scipost.org
We study the ground-state properties and excitation spectrum of the Lieb-Liniger model, ie
the one-dimensional Bose gas with repulsive contact interactions. We solve the Bethe …
the one-dimensional Bose gas with repulsive contact interactions. We solve the Bethe …
Large-time and long-distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
We study thermal correlation functions of the one-dimensional impenetrable lattice anyons.
These correlation functions can be presented as a difference of two Fredholm determinants …
These correlation functions can be presented as a difference of two Fredholm determinants …
One-particle density matrix of a trapped Lieb–Liniger anyonic gas
We provide a thorough characterisation of the zero-temperature one-particle density matrix
of trapped interacting anyonic gases in one dimension, exploiting recent advances in the …
of trapped interacting anyonic gases in one dimension, exploiting recent advances in the …
Effective free-fermionic form factors and the XY spin chain
We introduce effective form factors for one-dimensional lattice fermions with arbitrary phase
shifts. We study tau functions defined as series of these form factors. On the one hand we …
shifts. We study tau functions defined as series of these form factors. On the one hand we …
On the dynamics of free-fermionic tau-functions at finite temperature
D Chernowitz, O Gamayun - SciPost Physics Core, 2022 - scipost.org
In this work we explore an instance of the $\tau $-function of vertex type operators, specified
in terms of a constant phase shift in a free-fermionic basis. From the physical point of view …
in terms of a constant phase shift in a free-fermionic basis. From the physical point of view …
Luttinger liquid in a non-equilibrium steady state
M Mintchev, P Sorba - Journal of Physics A: Mathematical and …, 2013 - iopscience.iop.org
We propose and investigate an exactly solvable model of non-equilibrium Luttinger liquid on
a star graph, modeling a multi-terminal quantum wire junction. The boundary condition at the …
a star graph, modeling a multi-terminal quantum wire junction. The boundary condition at the …
Exact dynamics following an interaction quench in a one-dimensional anyonic gas
L Piroli, P Calabrese - Physical Review A, 2017 - APS
We study the nonequilibrium quench dynamics of a one-dimensional anyonic gas. We focus
on the integrable anyonic Lieb-Liniger model and consider the quench from noninteracting …
on the integrable anyonic Lieb-Liniger model and consider the quench from noninteracting …
Strongly interacting mesoscopic systems of anyons in one dimension
NT Zinner - Physical Review A, 2015 - APS
Using the fractional statistical properties of so-called anyonic particles, we present solutions
of the Schrödinger equation for up to six strongly interacting particles in one-dimensional …
of the Schrödinger equation for up to six strongly interacting particles in one-dimensional …
Deviations from off-diagonal long-range order in one-dimensional quantum systems
A quantum system exhibits off-diagonal long-range order (ODLRO) when the largest
eigenvalue $\lambda_0 $ of the one-body-density matrix scales as $\lambda_0\sim N …
eigenvalue $\lambda_0 $ of the one-body-density matrix scales as $\lambda_0\sim N …
One-body reduced density matrix of trapped impenetrable anyons in one dimension
We study the one-body reduced density matrix of a system of N one-dimensional
impenetrable anyons trapped by a harmonic potential. To this purpose we extend two …
impenetrable anyons trapped by a harmonic potential. To this purpose we extend two …