One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm

A Imambekov, TL Schmidt, LI Glazman - Reviews of Modern Physics, 2012 - APS
For many years, the Luttinger liquid theory has served as a useful paradigm for the
description of one-dimensional (1D) quantum fluids in the limit of low energies. This theory is …

Spin-charge separation effects in the low-temperature transport of one-dimensional Fermi gases

M Mestyán, B Bertini, L Piroli, P Calabrese - Physical Review B, 2019 - APS
We study the transport properties of a one-dimensional spinful Fermi gas, after a junction of
two semi-infinite subsystems held at different temperatures. The ensuing dynamics is …

Nonlinear Luttinger liquid plasmons in semiconducting single-walled carbon nanotubes

S Wang, S Zhao, Z Shi, F Wu, Z Zhao, L Jiang… - Nature Materials, 2020 - nature.com
Interacting electrons confined in one dimension are generally described by the Luttinger
liquid formalism, where the low-energy electronic dispersion is assumed to be linear and the …

Finite-temperature dynamics of the Mott insulating Hubbard chain

A Nocera, FHL Essler, AE Feiguin - Physical Review B, 2018 - APS
We study the dynamical response of the half-filled one-dimensional Hubbard model for a
range of interaction strengths U and temperatures T by a combination of numerical and …

Exact prefactors in static and dynamic correlation functions of one-dimensional quantum integrable models: Applications to the Calogero-Sutherland, Lieb-Liniger, and …

A Shashi, M Panfil, JS Caux, A Imambekov - Physical Review B—Condensed …, 2012 - APS
In this paper, we demonstrate a recently developed technique which addresses the problem
of obtaining nonuniversal prefactors of the correlation functions of one-dimensional (1D) …

Nonuniversal prefactors in the correlation functions of one-dimensional quantum liquids

A Shashi, LI Glazman, JS Caux, A Imambekov - Physical Review B …, 2011 - APS
We develop a general approach to calculating “nonuniversal” prefactors in static and
dynamic correlation functions of one-dimensional (1D) quantum liquids at zero temperature …

Generalized hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model

Y Nozawa, H Tsunetsugu - Physical Review B, 2020 - APS
We have studied nonequilibrium dynamics of the one-dimensional Hubbard model using the
generalized hydrodynamic theory. We mainly investigated the spatiotemporal profile of …

Exact results of the one-dimensional repulsive Hubbard model

JJ Luo, H Pu, XW Guan - Reports on Progress in Physics, 2024 - iopscience.iop.org
We present analytical results of the fundamental properties of the one-dimensional (1D)
Hubbard model with a repulsive interaction. The new model results with arbitrary external …

Quantum shock waves and population inversion in collisions of ultracold atomic clouds

S Peotta, MD Ventra - Physical Review A, 2014 - APS
Using a time-dependent density matrix renormalization group (TDMRG) approach we study
the collision of one-dimensional atomic clouds confined in a harmonic trap and evolving with …

Dimensional reduction of the Luttinger-Ward functional for spin-degenerate -dimensional electron gases

D Miserev, J Klinovaja, D Loss - Physical Review B, 2023 - APS
We consider an isotropic spin-degenerate interacting uniform D-dimensional electron gas
(DDEG) with D> 1 within the Luttinger-Ward (LW) formalism. We derive the asymptotically …