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We investigate the response of a one-dimensional Bose gas to a slow increase of its interaction strength. We focus on the rich dynamics of equal-time single-particle correlations treating the Lieb-Liniger model within a bosonization…

Quantum Gases · Physics 2016-09-27 Jean-Sebastien Bernier , Roberta Citro , Corinna Kollath , Edmond Orignac

We investigate the decoherence of the electron wavepacket in purely ballistic one-dimensional systems described through the Luttinger liquid (LL). At a finite temperature $T$ and long times $t$, we show that the electron Green's function…

Strongly Correlated Electrons · Physics 2009-11-11 Karyn Le Hur

Motivated by recent scanning tunneling and photoemission spectroscopy measurements on self-organized gold chains on a germanium surface we reinvestigate the local single-particle spectral properties of Luttinger liquids. In the first part…

Strongly Correlated Electrons · Physics 2012-12-07 D. Schuricht , S. Andergassen , V. Meden

The one-particle Green's function of the Tomonaga-Luttinger model for one-dimensional interacting Fermions is discussed. Far away from the origin of the plane of space-time coordinates the function falls off like a power law. The exponent…

Strongly Correlated Electrons · Physics 2016-08-31 V. Meden

We consider quenches in non-conserved two-dimensional XY systems between any two temperatures below the Kosterlitz-Thouless transition. The evolving systems are defect free at coarse-grained scales, and can be exactly treated. Correlations…

Condensed Matter · Physics 2009-10-22 A. D. Rutenberg , A. J. Bray

Vortex lines in type-II superconductors display complicated relaxation processes due to the intricate competition between their mutual repulsive interactions and pinning to attractive point or extended defects. We perform extensive Monte…

Statistical Mechanics · Physics 2015-09-10 Michel Pleimling , Uwe C. Tauber

A one-dimensional system of interacting electrons out of equilibrium is studied in the framework of the Luttinger liquid model. We analyze several setups and develop a theory of tunneling into such systems. A remarkable property of the…

Mesoscale and Nanoscale Physics · Physics 2009-03-22 D. B. Gutman , Yuval Gefen , A. D. Mirlin

In present work, a relation that connects the integrated correlation function of a trapped two-particle system to infinite volume particles scattering phase shift is derived. It has the potential to provide an alternative approach for…

High Energy Physics - Lattice · Physics 2023-09-20 Peng Guo , Vladimir Gasparian

We investigate the stability of conducting and insulating phases in multichannel Luttinger liquids with respect to embedding a single impurity. We devise a general approach for finding critical exponents of the conductance in the limits of…

Strongly Correlated Electrons · Physics 2017-05-24 V. Kagalovsky , I. V. Lerner , I. V. Yurkevich

Two chains of Luttinger liquids coupled by both interchain hopping and interchain interaction are investigated. A degeneracy of two kinds of dominant states with in phase and out of phase ordering in the absence of the hopping is removed…

Condensed Matter · Physics 2009-10-28 Hideo Yoshioka , Yoshikazu Suzumura

The equilibrium physics of quantum impurities frequently involves a universal crossover from weak to strong reservoir-impurity coupling, characterized by single-parameter scaling and an energy scale $T_K$ (Kondo temperature) that breaks…

Strongly Correlated Electrons · Physics 2014-09-24 D. M. Kennes , V. Meden , R. Vasseur

It is shown how Luttinger liquids may be studied using sea-bosons. The main advantage of the sea-boson method is its ability to provide information about short-wavelength physics in addition to the asymptotics and is naturally generalisable…

Strongly Correlated Electrons · Physics 2015-06-24 Girish S. Setlur

We explore systematically the ground state properties of one dimensional fermions with long-range interactions decaying in a power law $\sim1/r^\alpha$ through the density matrix renormalization group algorithm. By comparing values of…

Strongly Correlated Electrons · Physics 2019-04-30 Zhi-Hua Li

We present results for the long-distance asymptotics of correlation functions of mesoscopic one-dimensional systems with periodic and open (Dirichlet) boundary conditions, as well as at finite temperature in the thermodynamic limit. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. A. Cazalilla

In this paper, we analyse the long-time behavior of solutions to a coupled system describing the motion of a rigid disk in a 2D viscous incompressible fluid. Following previous approaches, we look at the problem in the system of coordinates…

Analysis of PDEs · Mathematics 2022-08-19 Guillaume Ferriere , Matthieu Hillairet

We investigate the kinetics of bubble coarsening in a single component Lennard-Jones fluid using large-scale molecular dynamics simulations. A homogeneous high-temperature system is quenched below the critical temperature to induce the…

Soft Condensed Matter · Physics 2025-09-29 Parameshwaran A , Bhaskar Sen Gupta

Luttinger liquids (LLs) are one dimensional systems with well-understood instabilities due to umklapp or backscattering. We study a generalization of the Luttinger model, which incorporates a time reversal symmetry breaking interaction…

Strongly Correlated Electrons · Physics 2016-02-15 Balázs Dóra , Roderich Moessner

We calculate the single-particle Green's function of electrons that are coupled to acoustic phonons by means of higher dimensional bosonization. This non-perturbative method is {\it{not}} based on the assumption that the electronic system…

Condensed Matter · Physics 2009-10-28 Peter Kopietz

The localization length $L_2$ of two interacting particles in a one-dimensional disordered system is studied for very large system sizes by two efficient and accurate variants of the Green function method. The numerical results (at the band…

Mesoscale and Nanoscale Physics · Physics 2011-05-16 Klaus M. Frahm

We study the mobility of a particle coupled to a one dimensional interacting fermionic system, a Luttinger liquid. We bosonize the Luttinger liquid and find the effective interaction between the particle and the bosonic system. We show that…

Condensed Matter · Physics 2009-10-22 A. H. Castro Neto , A. O. Caldeira