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The low-frequency dynamical response of an Anderson insulator is dominated by so-called Mott resonances: hybridization of pairs of states close in energy, but separated spatially. We study the effect of interaction on Mott resonances in the…

Mesoscale and Nanoscale Physics · Physics 2017-02-02 D. A. Ivanov , M. V. Feigel'man

In this work we study a quench between a Mott insulator and a repulsive Lieb-Liniger liquid. We find explicitly the stationary state when a long time has passed after the quench. It is given by a GGE density matrix which we completely…

Quantum Gases · Physics 2015-06-22 G. Goldstein , N. Andrei

We reconsider the non-equilibrium dynamics of closed quantum systems. In particular we focus on the thermalization of integrable systems. Here we show how the generalized Gibbs Ensemble (GGE) can be constructed as the best approximation to…

Quantum Physics · Physics 2017-05-11 Dries Sels , Michiel Wouters

We study two-component fermions in optical lattices with spatially alternating on-site interactions using dynamical mean-field theory. Calculating the quasi-particle weight, double occupancy, and order parameters for each sublattice, we…

Strongly Correlated Electrons · Physics 2013-01-16 Akihisa Koga , Takamitsu Saitou , Atsushi Yamamoto

We investigate the neutral-to-ionic insulator-insulator transition in one-dimensional materials by treating a strong-coupling effective model based on the ionic Hubbard model using the density-matrix renormalization group and finite-size…

Strongly Correlated Electrons · Physics 2015-05-13 L. Tincani , R. M. Noack , D. Baeriswyl

We study the time-dependent dynamical properties of two-component ultracold fermions in a one-dimensional optical superlattice by applying the adaptive time-dependent density matrix renormalization group to a repulsive Hubbard model with an…

Quantum Gases · Physics 2009-11-30 Atsushi Yamamoto , Makoto Yamashita , Norio Kawakami

We study the time evolution of the antiferromagnetic order parameter after interaction quenches in the Hubbard model. Using the nonequilibrium dynamical mean field formalism, we show that the system, after a quench from intermediate to…

Strongly Correlated Electrons · Physics 2013-01-29 Philipp Werner , Naoto Tsuji , Martin Eckstein

The generalized Gibbs ensemble introduced for describing few body correlations in exactly solvable systems following a quantum quench is related to the nonergodic way in which operators sample, in the limit of infinite time after the…

Statistical Mechanics · Physics 2012-02-13 Miguel A. Cazalilla , A. Iucci , Ming-Chiang Chung

We study one-dimensional (1D) lattice anyons with extended Hubbard interactions at unit filling using bosonization and numerical simulations. The behavior can be continuously tuned from Bosonic to Fermionic behavior by adjusting the…

Strongly Correlated Electrons · Physics 2025-07-18 Martin Bonkhoff , Kevin Jägering , Shijie Hu , Axel Pelster , Sebastian Eggert , Imke Schneider

We investigate the crossover of the entanglement entropy towards its thermal value in nearly integrable systems. We employ equation of motion techniques to study the entanglement dynamics in a lattice model of weakly interacting spinless…

Statistical Mechanics · Physics 2020-09-10 Bruno Bertini , Pasquale Calabrese

The problem of deconfinement phases in strongly correlated systems is discussed. In space-time dimension $d=3+1$, a competition of confinement and Coulomb phases occurs, but in $d=2+1$ the confining phase dominates owing to monopole…

Strongly Correlated Electrons · Physics 2023-01-26 V. Yu. Irkhin

We consider a strongly repulsive two-component Fermi gas in a one-dimensional (1D) optical lattice described in terms of a Hubbard Hamiltonian. We analyze the response of the system to a periodic modulation of the hopping amplitude in…

Quantum Gases · Physics 2013-05-29 F. Massel , M. J. Leskinen , P. Torma

We study a one-dimensional Fermi gas in the presence of dissipative coupling to environment through the Lindblad equation. The dissipation involves energy exchange with the environment and favours the relaxation of electrons to excitations.…

Strongly Correlated Electrons · Physics 2020-04-01 Ádám Bácsi , Catalin Pascu Moca , Balázs Dóra

We present a framework to characterize Mott insulating phases within the interacting one-body picture, focusing on the Hubbard diamond chain featuring both Hubbard interactions and spin-orbit coupling simulated within cellular dynamical…

Strongly Correlated Electrons · Physics 2026-02-05 Theo N. Dionne , Santiago Villodre , Mikel Iraola , Maia G. Vergniory

The ionic Hubbard model is investigated at half filling at zero temperature. We apply the cellular dynamical mean-field theory to the one-dimensional ionic Hubbard model to compute local quantities such as double occupancy and staggered…

Strongly Correlated Electrons · Physics 2011-11-07 Ara Go , Gun Sang Jeon

Repulsively bound pairs of particles in a lattice governed by the Bose-Hubbard model can form stable incompressible clusters of dimers corresponding to finite-size n=2 Mott insulators. Here we study the dynamics of hole defects in such…

Quantum Physics · Physics 2012-04-04 Dominik Muth , David Petrosyan , Michael Fleischhauer

We study the Bose and Fermi Hubbard model in the (formal) limit of large coordination numbers $Z\gg1$. Via an expansion into powers of $1/Z$, we establish a hierarchy of correlations which facilitates an approximate analytical derivation of…

Quantum Physics · Physics 2014-03-25 F. Queisser , K. V. Krutitsky , P. Navez , R. Schützhold

We explore a system composed of scalar bosons and SU($3$) fermions in one dimension. Considering only local intra- and interspecies interactions, the system is described by the Bose-Fermi-Hubbard Hamiltonian, which is studied using the…

Quantum Gases · Physics 2024-07-24 J. Silva-Valencia , J. J. Mendoza-Arenas

Using the exact Bethe ansatz solution of the Hubbard model and Luttinger liquid theory, we investigate the density profiles and collective modes of one-dimensional ultra-cold fermions confined in an optical lattice with a harmonic trapping…

Statistical Mechanics · Physics 2007-05-23 Xia-Ji Liu , Peter D. Drummond , Hui Hu

We study a system of fermions in one spatial dimension with linearly confining interactions and short-range disorder. We focus on the zero temperature properties of this system, which we characterize using bosonization and the Gaussian…

Disordered Systems and Neural Networks · Physics 2018-05-22 Yang-Zhi Chou , Rahul M. Nandkishore , Leo Radzihovsky