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We study a one-dimensional fluid of hard-rods interacting each other via binary inelastic collisions and a short ranged square-well potential. Upon tuning the depth and the sign of the well, we investigate the interplay between dissipation…

Statistical Mechanics · Physics 2009-11-11 Umberto Marini-Bettolo-Marconi , Maurizio Natali , Giulio Costantini , Fabio Cecconi

We study the linear response and the dynamic structure factor of weakly interacting Bose gases at low temperatures. Going beyond lowest order in the weak coupling expansion allows us to determine the contribution of the thermal and quantum…

Soft Condensed Matter · Physics 2007-05-23 H. P. Buchler , G. Blatter

The dynamical dimer structure factor is an observable probing spin-singlet excitations of quantum magnets distinct from those commonly studied by the spin structure factor. We report the dimer response for the extended spin-$1/2$…

Strongly Correlated Electrons · Physics 2026-04-29 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann , Johannes Knolle

We consider a one-dimensional effective quantum electrodynamics (QED) model of the relativistic hydrogen-like atom using delta-potential interactions. We discuss the general exact theory and the Hartree-Fock approximation. The present…

Mathematical Physics · Physics 2023-06-27 Timothée Audinet , Julien Toulouse

The low-energy properties of a homogeneous one-dimensional electron system are completely specified by two Tomonaga-Luttinger parameters $K_{\rho}$ and $v_{\sigma}$. In this paper we discuss microscopic estimates of the values of these…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Wolfgang Häusler , Lars Kecke , A. H. MacDonald

This thesis report deals with the 1D Hubbard model and the quantum objects that diagonalize the normal ordered Hubbard hamiltonian, among those the so called PseudoFermions (PFs). These PFs have no residual energy interactions, are eta-spin…

Strongly Correlated Electrons · Physics 2007-05-23 D Bozi

Recently, Imambekov and Glazman [Phys. Rev. Lett. 100, 206805 (2008)] showed that the dynamic structure factor (DSF) of the 1D Bose gas demonstrates power-law behaviour along the limiting dispersion curve of the collective modes and…

Statistical Mechanics · Physics 2009-06-19 Alexander Yu. Cherny , Joachim Brand

We perform exact Statistical Mechanics calculations for a system of elongated objects (hard needles) that are restricted to translate along a line and rotate within a plane, and that interact via both excluded-volume steric repulsion and…

Statistical Mechanics · Physics 2023-04-11 Danilo B. Liarte , Alberto Petri , Silvio R. Salinas

We compute the dynamical spin structure factor $S(k,\omega)$ of the SU(3) Heisenberg chain variationally using a truncated Hilbert space spanned by the Gutzwiller projected particle-hole excitations of the Fermi sea, introduced in [B. Dalla…

Strongly Correlated Electrons · Physics 2022-02-15 Dániel Vörös , Karlo Penc

Single-particle momentum spectra for a dynamically evolving one-dimensional Bose gas are analysed in the semi-classical wave limit. Representing one of the simplest correlation functions these give information about possible universal…

Quantum Gases · Physics 2012-07-06 Maximilian Schmidt , Sebastian Erne , Boris Nowak , Dénes Sexty , Thomas Gasenzer

Motivated by potential realizations in cold-atom or cold-molecule systems, we have performed quantum Monte Carlo simulations of two-component gases of fermions in two dimensions with hard-core interactions. We have determined the gross…

Quantum Gases · Physics 2011-05-19 N. D. Drummond , N. R. Cooper , R. J. Needs , G. V. Shlyapnikov

The dynamic structure factor of the 7Li0.61Na0.39 liquid alloy at T=590 K has been calculated by ab initio molecular dynamics simulations using 2000 particles. For small wavevectors, 0.15 <= q/A-1 <= 1.6, we find clear side peaks in the…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. J. Gonzalez , L. E. Gonzalez , J. M. Lopez , M. J. Stott

The thermodynamics and covariant kinetic theory have been elaborately investigated in a non-extensive environment considering the non-extensive generalization of Bose-Einstein (BE) and Fermi-Dirac (FD) statistics. Starting with Tsallis'…

Nuclear Theory · Physics 2018-02-08 Sukanya Mitra

We present Monte Carlo simulation results on the equilibrium relaxation dynamics in the two dimensional lattice Coulomb gas, where finite fraction $f$ of the lattice sites are occupied by positive charges. In the case of high order rational…

Statistical Mechanics · Physics 2009-11-07 Sung Jong Lee , Bongsoo Kim , Jong-Rim Lee

Recent years have seen the development of a rich phenomenology beyond the Luttinger Liquid model of one dimensional quantum fluids, arising from interactions between the elementary phonon excitations. It has been known for some time,…

Quantum Gases · Physics 2015-09-29 Tom Price , Austen Lamacraft

The temperature dependence of the correlation length, susceptibilities and the magnetic structure factor of the two-dimensional spin-1 square lattice quantum Heisenberg antiferromagnet are computed by the quantum Monte Carlo loop algorithm…

Statistical Mechanics · Physics 2007-05-23 Kenji Harada , Matthias Troyer , Naoki Kawashima

In this chapter, we describe three related studies of the universal physics of two-component unitary Fermi gases with resonant short-ranged interactions. First we discuss an ab initio auxiliary field quantum Monte Carlo technique for…

Quantum Gases · Physics 2012-03-21 Aurel Bulgac , Michael McNeil Forbes , Piotr Magierski

The dynamics in quantum magnets can often be described by effective models with bosonic excitations obeying a hard-core constraint. Such models can be systematically derived by renormalization schemes such as continuous unitary…

Strongly Correlated Electrons · Physics 2014-08-12 Benedikt Fauseweh , Joachim Stolze , Götz S. Uhrig

Using a realistic flexible molecule model of the fragile glass former orthoterphenyl, we calculate via molecular dynamics simulation the collective dynamic structure factor, recently measured in this system by Inelastic X-ray Scattering.…

Soft Condensed Matter · Physics 2009-11-07 S. Mossa , G. Monaco , G. Ruocco , M. Sampoli , F. Sette

The zeros of the partition function of the ferromagnetic q-state Potts model with long-range interactions in the complex-q plane are studied in the mean-field case, while preliminary numerical results are reported for the finite 1d chains…

Statistical Mechanics · Physics 2009-11-07 Zvonko Glumac , Katarina Uzelac
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