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We present a quantitative semi-classical theory for the non-equilibrium dynamics of transverse Ising chains after quantum quenches, in particular sudden changes of the transverse field strength. We obtain accurate predictions for the quench…

Statistical Mechanics · Physics 2011-10-21 Heiko Rieger , Ferenc Iglói

Dynamics of a dissipative two-level system is studied using quantum relaxation theory. This calculation for the first time goes beyond the commonly used dilute bounce gas approximation (DBGA), even for strong damping. The new results…

Condensed Matter · Physics 2011-12-13 Tabish Qureshi

The behavior of coupled disordered one-dimensional systems, as modelled by identical fermionic Hubbard chains with the on-site potential disorder and coupling emerging through the inter-chain hopping $t'$, is analysed. The study is…

Disordered Systems and Neural Networks · Physics 2016-10-12 Peter Prelovšek

Sufficiently strong inter-site interactions in extended-Hubbard and XXZ spin models result in dynamically-bound clusters at neighboring sites. We show that the dynamics of these clusters in two-dimensional lattices is remarkably different…

Quantum Gases · Physics 2021-04-28 Wei-Han Li , Arya Dhar , Xiaolong Deng , Luis Santos

We develop a formalism for mapping the exact dynamics of an ensemble of disordered quantum systems onto the dynamics of a single particle propagating along a semi-infinite lattice, with parameters determined by the probability distribution…

Quantum Physics · Physics 2026-03-17 Hallmann Óskar Gestsson , Charlie Nation , Alexandra Olaya-Castro

Far-from-equilibrium dynamics of SU(2) gauge theory with Wilson fermions is studied in 1+1 space-time dimensions using a real-time lattice approach. Lattice improved Hamiltonians are shown to be very efficient in simulating Schwinger pair…

High Energy Physics - Phenomenology · Physics 2019-03-05 D. Spitz , J. Berges

We study a two-dimensional fermionic QFT used to model 1D strongly correlated electrons in the presence of a time-dependent impurity that drives the system out of equilibrium. In contrast to previous investigations, we consider a dynamic…

Strongly Correlated Electrons · Physics 2009-11-10 Carlos M. Naón , Mariano J. Salvay , Marta L. Trobo

Neutron scattering is frequently used to look for evidence of features indicative of quantum-entangled phases of matter such as continua from fractionalisation or quantised excitations. However, the non-specificity of these features and…

Strongly Correlated Electrons · Physics 2025-01-08 Harry Lane , Kipton Barros , Martin Mourigal

Understanding the collective behavior of strongly correlated electrons in materials remains a central problem in many-particle quantum physics. A minimal description of these systems is provided by the disordered Fermi-Hubbard model (DFHM),…

Quantum Gases · Physics 2021-02-03 W. Morong , S. R. Muleady , I. Kimchi , W. Xu , R. M. Nandkishore , A. M. Rey , B. DeMarco

We numerically investigate the quench expansion dynamics of an initially confined state in a two-dimensional Gross-Pitaevskii lattice in the presence of external disorder. The expansion dynamics is conveniently described in the control…

Quantum Gases · Physics 2020-09-09 Arindam Mallick , Thudiyangal Mithun , Sergej Flach

We study the phase-space representation of dynamics of bosons in the semiclassical regime where the occupation number of the modes is large. To this end, we employ the van Vleck-Gutzwiller propagator to obtain an approximation for the…

Quantum Gases · Physics 2019-09-04 Ranchu Mathew , Eite Tiesinga

Using the supersymmetry technique, we analytically derive the recent result of Casati, Maspero and Shepelyansky [cond-mat/9706103] according to which the quantum dynamics of open chaotic systems follows the classical decay up to a new…

Condensed Matter · Physics 2009-10-30 Klaus M. Frahm

We simulate the dynamics of a disordered interacting spin chain subject to a quasi-periodic time-dependent drive, corresponding to a stroboscopic Fibonacci sequence of two distinct Hamiltonians. Exploiting the recursive drive structure, we…

Disordered Systems and Neural Networks · Physics 2018-02-26 Philipp T. Dumitrescu , Romain Vasseur , Andrew C. Potter

We study and simulate N=2 supersymmetric Wess-Zumino models in one and two dimensions. For any choice of the lattice derivative, the theories can be made manifestly supersymmetric by adding appropriate improvement terms corresponding to…

High Energy Physics - Lattice · Physics 2008-11-26 Tobias Kaestner , Georg Bergner , Sebastian Uhlmann , Andreas Wipf , Christian Wozar

The search for departures from standard hydrodynamics in many-body systems has yielded a number of promising leads, especially in low dimension. Here we study one of the simplest classical interacting lattice models, the nearest-neighbour…

Statistical Mechanics · Physics 2022-12-22 Adam J. McRoberts , Thomas Bilitewski , Masudul Haque , Roderich Moessner

Tensor network algorithms provide a suitable route for tackling real-time dependent problems in lattice gauge theories, enabling the investigation of out-of-equilibrium dynamics. We analyze a U(1) lattice gauge theory in (1+1) dimensions in…

Quantum Gases · Physics 2016-03-07 T. Pichler , M. Dalmonte , E. Rico , P. Zoller , S. Montangero

We study the behavior of classical dimer coverings of the square lattice - a paradigmatic model for systems subject to constraints - evolving under local stochastic dynamics, by means of Monte Carlo simulations and theoretical arguments. We…

Statistical Mechanics · Physics 2016-03-17 Tom Oakes , Juan P. Garrahan , Stephen Powell

Strong disorder often has drastic consequences for quantum dynamics. This is best illustrated by the phenomenon of Anderson localization in non-interacting systems, where destructive quantum wave interference leads to the complete absence…

Disordered Systems and Neural Networks · Physics 2025-10-15 Ben T. McDonough , Marius Lemm , Andrew Lucas

The Luttinger liquid model, which describes interacting electrons in a single-channel quantum wire, is completely integrable in the absence of disorder and as such does not exhibit any relaxation to equilibrium. We consider relaxation…

Mesoscale and Nanoscale Physics · Physics 2008-09-09 D. A. Bagrets , I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We study the Swendsen-Wang dynamics for disordered non ferromagnetic Ising models on cubic subsets of the hypercubic lattice Z^d and we show that for all small values of the temperature parameter T the dynamics has a slow relaxation to…

Probability · Mathematics 2007-05-23 Emilio De Santis
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