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We study how a Luttinger liquid of spinless particles in one dimension approaches thermal equilibrium. Full equilibration requires processes of backscattering of excitations which occur at energies of order of the bandwidth. Such processes…

Strongly Correlated Electrons · Physics 2012-01-25 K. A. Matveev , A. V. Andreev

We use a Rydberg quantum simulator to demonstrate a new form of spectroscopy, called quench spectroscopy, which probes the low-energy excitations of a many-body system. We illustrate the method on a two-dimensional simulation of the…

It is an well established fact that statistical properties of energy level spectra are the most efficient tool to characterize nonintegrable quantum systems. The study of statistical properties and spectral fluctuation in the interacting…

We calculate zero-temperature correlation functions for a model of 2D interacting electrons with short-range interactions and a square Fermi surface. The model was arrived at by mapping electronic states near a square Fermi surface with…

Strongly Correlated Electrons · Physics 2009-10-31 J. O. Fjaerestad , A. Sudbo , A. Luther

Interacting one-dimensional quantum systems play a pivotal role in physics. Exact solutions can be obtained for the homogeneous case using the Bethe ansatz and bosonisation techniques. However, these approaches are not applicable when…

Quantum Physics · Physics 2016-07-12 M. E. S. Andersen , A. S. Dehkharghani , A. G. Volosniev , E. J. Lindgren , N. T. Zinner

We present a study of a gas of bosons confined in one dimension with Feshbach resonant interactions, at zero temperature. Unlike the gas of one dimensional bosons with non-resonant interactions, which is known to be equivalent to a system…

Statistical Mechanics · Physics 2007-05-23 V. Gurarie

We calculate the conductance of a quantum wire with two occupied subbands in a presence of a barrier taking into account the interaction between electrons. We extend the renormalization-group equation for the scattering matrix of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 A. V. Borin , K. E. Nagaev

We evaluate the small-amplitude excitations of a spin-polarized vapour of Fermi atoms confined inside a harmonic trap. The dispersion law $\omega=\omega_{f}[l+4n(n+l+2)/3]^{1/2}$ is obtained for the vapour in the collisional regime inside a…

Statistical Mechanics · Physics 2009-10-31 M. Amoruso , I. Meccoli , A. Minguzzi , M. P. Tosi

We have experimentally studied few-body impurity systems consisting of a single fermionic atom and a small bosonic field on the sites of an optical lattice. Quantum phase revival spectroscopy has allowed us to accurately measure the…

Quantum Gases · Physics 2011-04-08 Sebastian Will , Thorsten Best , Simon Braun , Ulrich Schneider , Immanuel Bloch

Motivated by recent developments in the experimental study of Bose-Fermi mixtures, we investigate ground-state phase diagrams and excitation spectra for Bose-Fermi mixtures in a three-dimensional (3D) optical lattice. The Gutzwiller…

Quantum Gases · Physics 2020-02-19 Rei Hatsuda , Emiko Arahata

Lattice spin models featuring kinetic constraints constitute a paradigmatic setting for the investigation of glassiness and localization phenomena. The intricate dynamical behavior of these systems is a result of the dramatically reduced…

Quantum Gases · Physics 2026-03-16 Tobias Kaltenmark , Chris Nill , Christian Groß , Igor Lesanovsky

We compute the effects of electronic interactions on gapless spin-3/2 excitations that in a noninteracting system emerge at a bi-quadratic touching of Kramers degenerate valence and conduction bands, known as Luttinger semimetal. This model…

Strongly Correlated Electrons · Physics 2021-04-29 Andras Szabo , Roderich Moessner , Bitan Roy

We study the expansion of an interacting atomic system at zero temperature, following its release from an isotropic three-dimensional harmonic trap and calculate the time dependence of its density and momentum distribution, with special…

Quantum Gases · Physics 2016-12-28 Chunlei Qu , Lev P. Pitaevskii , Sandro Stringari

Almost strong edge-mode operators arising at the boundaries of certain interacting 1D symmetry protected topological phases with \(Z_2\) symmetry have infinite temperature lifetimes that are non-perturbatively long in the integrability…

Strongly Correlated Electrons · Physics 2020-05-25 Daniel J. Yates , Alexander G. Abanov , Aditi Mitra

Coulomb interaction has important consequences on the physics of quantum spin Hall edge states, weakening the topological protection via two-particle scattering and renormalizing both the velocity and charge of collective plasmon modes…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Alexandre Gourmelon , Hiroshi Kamata , Jean-Marc Berroir , Gwendal Fève , Bernard Plaçais , Erwann Bocquillon

We consider $m$ spinless Fermions in $l > m$ degenerate single-particle levels interacting via a $k$-body random interaction with Gaussian probability distribution and $k <= m$ in the limit $l$ to infinity (the embedded $k$-body random…

Condensed Matter · Physics 2009-10-31 Luis Benet , Thomas Rupp , Hans A. Weidenmueller

We study theoretically and numerically how hard frictionless particles in random packings can rearrange. We demonstrate the existence of two distinct unstable non-linear modes of rearrangement, both associated with the opening and the…

Soft Condensed Matter · Physics 2014-11-19 Edan Lerner , Gustavo Düring , Matthieu Wyart

We study the finite-energy density phase diagram of spinless fermions with attractive interactions in one dimension in the presence of uncorrelated diagonal disorder. Unlike the case of repulsive interactions, a delocalized Luttinger-liquid…

Strongly Correlated Electrons · Physics 2018-01-22 Sheng-Hsuan Lin , B. Sbierski , F. Dorfner , C. Karrasch , F. Heidrich-Meisner

We study edge and bulk open-orbit electron states in a quasi-one-dimensional (Q1D) metal subject to a magnetic field. For both types of the states, the energy spectrum near the Fermi energy consists of two terms. One term has a continuous…

Mesoscale and Nanoscale Physics · Physics 2009-02-25 Victor M. Yakovenko , Hsi-Sheng Goan

Studying interacting fermions in 1D at high energy, we find a hierarchy in the spectral weights of the excitations theoretically and we observe evidence for second-level excitations experimentally. Diagonalising a model of fermions (without…

Strongly Correlated Electrons · Physics 2015-06-11 O. Tsyplyatyev , A. J. Schofield , Y. Jin , M. Moreno , W. K. Tan , C. J. B. Ford , J. P. Griffiths , I. Farrer , G. A. C. Jones , D. A. Ritchie