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The interplay between interactions and decoherence in many-body systems is of fundamental importance in quantum physics: Decoherence can degrade correlations, but can also give rise to a variety of rich dynamical and steady-state behaviors.…

Quantum Physics · Physics 2014-02-19 Michael Foss-Feig , Kaden R. A. Hazzard , John J. Bollinger , Ana Maria Rey

We investigate the role of relaxation mechanisms in the driven response of elastic disordered interfaces in finite dimensions, focusing on the interplay between dimensionality and interaction range. Through extensive numerical simulations,…

Disordered Systems and Neural Networks · Physics 2025-08-14 Giuseppe Petrillo , Eduardo Jagla , Eugenio Lippiello , Alberto Rosso

New theoretical and numerical analysis of the one-dimensional contact process with quenched disorder are presented. We derive new scaling relations, different from their counterparts in the pure model, which are valid not only at the…

Condensed Matter · Physics 2016-08-15 Raffaele Cafiero , Andrea Gabrielli , Miguel A. Muñoz

In this paper the dynamics of a fractional order system modelling the interaction between dark matter and dark energy is analytically and numerically studied. It is shown for the first time that systems modelling the interaction between…

Dynamical Systems · Mathematics 2023-11-27 Marius-F. Danca

The approach to equilibrium for systems interacting with their environment by being regularly exposed to low energy, low intensity pulses of some type of quanta is studied. Assuming a randomness condition on the interaction of these quanta…

Condensed Matter · Physics 2007-05-23 Myron Bander

The configuration interaction (CI) method for calculating the exact eigenstates of a quantum-mechanical few-body system is problematic when applied to particles interacting through contact forces. In dimensions higher than one the approach…

Mesoscale and Nanoscale Physics · Physics 2017-03-28 M. Rontani , G. Eriksson , S. Åberg , S. M. Reimann

Dynamical quantum phase transitions (DQPTs) extend the concept of phase transitions and thus universality to the non-equilibrium regime. In this letter, we investigate DQPTs in a string of ions simulating interacting transverse-field Ising…

Quantum Physics · Physics 2017-08-30 P. Jurcevic , H. Shen , P. Hauke , C. Maier , T. Brydges , C. Hempel , B. P. Lanyon , M. Heyl , R. Blatt , C. F. Roos

We study transport through an interacting model system consisting of a central correlated site coupled to finite bandwidth tight-binding leads, which are considered as effectively noninteracting. Its nonequilibrium properties are determined…

Mesoscale and Nanoscale Physics · Physics 2011-06-29 A. -M. Uimonen , E. Khosravi , G. Stefanucci , S. Kurth , R. van Leeuwen , E. K. U. Gross

We propose a nonadiabatic time-dependent spin-density functional theory (TDSDFT) approach for studying the single-electron excited states and the ultrafast response of systems with strong electron correlations. The correlations are…

Strongly Correlated Electrons · Physics 2013-11-27 Volodymyr Turkowski , Talat S. Rahman

The relaxation and complex magnetic susceptibility treatments of a spin-3/2 Blume-Capel model with quenched random crystal field on a two dimensional square lattice are investigated by a method combining the statistical equilibrium theory…

Statistical Mechanics · Physics 2015-06-11 Erol Vatansever , Hamza Polat

A central challenge in strongly interacting many-body systems is understanding the far-from-equilibrium dynamics. Here, we study the many-body magnetic dynamics of the two-component Bose-Hubbard model by developing a two-component extension…

Quantum Gases · Physics 2025-07-15 Hui Tan , Jianmin Yuan , Yongqiang Li

We use analytic (current) density-potential maps of time-dependent (current) density functional theory (TD(C)DFT) to inverse engineer analytically solvable time-dependent quantum problems. In this approach the driving potential (the control…

Quantum Physics · Physics 2016-06-01 Mehdi Farzanehpour , I. V. Tokatly

While the equilibrium properties, states, and phase transitions of interacting systems are well described by statistical mechanics, the lack of suitable state parameters has hindered the understanding of non-equilibrium phenomena in diverse…

Soft Condensed Matter · Physics 2019-02-20 Stefano Martiniani , Paul M. Chaikin , Dov Levine

The description of strongly correlated quantum many-body systems far from equilibrium presents a fundamental challenge due to the vast amount of information it requires. We introduce a generalization of the Jastrow ansatz for time-dependent…

Quantum Physics · Physics 2025-03-17 Jing Yang , Adolfo del Campo

These lectures provide an introduction to the theory of disordered interacting electron systems. In particular, we concentrate on those aspects which are fundamental for the problem of the metal-insulator transition due to the interplay of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Carlo Di Castro , Roberto Raimondi

Understanding the mechanisms by which complex correlations emerge through the dynamics of quantum many-body systems remains a fundamental challenge in modern physics. To address this, quench dynamics starting from nonthermal states have…

High Energy Physics - Theory · Physics 2026-05-22 Zixia Wei , Yasushi Yoneta

We study the nonequilibrium dynamics of a many-body bosonic system on a lattice, subject to driving and dissipation. The time-evolution is described by a master equation, which we treat within a generalized Gutzwiller mean field…

Quantum Gases · Physics 2013-05-29 Andrea Tomadin , Sebastian Diehl , Peter Zoller

Motivated by a number of recent experimental and computational studies of the dynamics of fluids plunged in quenched-disordered external fields, we report on a theoretical investigation of this topic within the framework of the…

Soft Condensed Matter · Physics 2018-10-05 Thomas Konincks , Vincent Krakoviack

The interplay of interactions and disorder is studied using the Anderson-Hubbard model within the typical medium dynamical cluster approximation. Treating the interacting, non-local cluster self-energy ($\Sigma_c[{\cal \tilde{G}}](i,j\neq…

Disordered Systems and Neural Networks · Physics 2015-12-02 C. E. Ekuma , S. -X. Yang , H. Terletska , K. -M. Tam , N. S. Vidhyadhiraja , J. Moreno , M. Jarrell

We study the effect of quenched spatial disorder on the steady states of driven systems of interacting particles. Two sorts of models are studied: disordered drop-push processes and their generalizations, and the disordered asymmetric…

Statistical Mechanics · Physics 2009-10-30 Goutam Tripathy , Mustansir Barma