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We study the spreading of correlations after a local quench in a non-relativistic quantum field theory. We focus on noninteracting non-relativistic fermions and study the time evolution after two identical systems in their ground states are…

Statistical Mechanics · Physics 2017-03-08 Bruno Bertini

Thermodynamic properties of the one-dimensional Kondo lattice model at half-filling are studied by the density matrix renormalization group method applied to the quantum transfer matrix. Spin susceptibility, charge susceptibility, and…

Strongly Correlated Electrons · Physics 2007-05-23 N. Shibata , B. Ammon , M. Troyer , M. Sigrist , K. Ueda

New emergent states of matter in quantum systems may be created under non-equilibrium conditions if - through many body interactions - its constituents order on a timescale which is shorter than the time required for the system to reach…

Strongly Correlated Electrons · Physics 2021-02-15 Yaroslav Gerasimenko , Igor Vaskivskyi , Jan Ravnik , Jaka Vodeb , Viktor V. Kabanov , Dragan Mihailovic

Non-equilibrium time evolution in isolated many-body quantum systems generally results in thermalization. However, the relaxation process can be very slow, and quasi-stationary non-thermal plateaux are often observed at intermediate times.…

Statistical Mechanics · Physics 2017-07-06 Vincenzo Alba , Maurizio Fagotti

We calculate the nonequilibrium dynamic evolution of a one-dimensional system of two-component fermionic atoms after a strong local quench by using a time-dependent spin-density-functional theory. The interaction quench is also considered…

Strongly Correlated Electrons · Physics 2015-05-27 Gao Xianlong

We consider the real-time evolution of the Hubbard model in the limit of infinite coupling. In this limit the Hamiltonian of the system is mapped into a number-conserving quadratic form of spinless fermions, i.e. the tight binding model.…

Statistical Mechanics · Physics 2022-02-21 Elena Tartaglia , Pasquale Calabrese , Bruno Bertini

We identify and study classes of initial states in integrable quantum systems that, after the relaxation dynamics following a sudden quench, lead to near-thermal expectation values of few-body observables. In the systems considered here,…

Statistical Mechanics · Physics 2011-09-28 Marcos Rigol , Mattias Fitzpatrick

By using worldline and diagrammatic quantum Monte Carlo techniques, matrix product state and a variational approach \`a la Feynman, we investigate the equilibrium properties and relaxation features of a quantum system of $N$ spins…

Nonlinear real-time response of interacting particles is studied on the example of a one-dimensional tight-binding model of spinless fermions driven by electric field. Using equations of motion and numerical methods we show that for a…

Strongly Correlated Electrons · Physics 2010-11-05 Marcin Mierzejewski , Peter Prelovsek

We study the coherent non-equilibrium dynamics of interacting two-dimensional systems after a quench from a trivial to a topological Chern insulator phase. While the many-body wavefunction is constrained to remain topologically trivial…

Quantum Gases · Physics 2019-07-10 Michael Schüler , Jan Carl Budich , Philipp Werner

The nonequilibrium dynamics of strongly-correlated fermions in lattice systems have attracted considerable interest in the condensed matter and ultracold atomic-gas communities. While experiments have made remarkable progress in recent…

Strongly Correlated Electrons · Physics 2017-05-03 N. Schluenzen , J. -P. Joost , F. Heidrich-Meisner , M. Bonitz

Motivated by recent experiments in ultracold atomic gases that explore the nonequilibrium dynamics of interacting quantum many-body systems, we investigate the nonequilibrium properties of a Fermi liquid. We apply an interaction quench…

Strongly Correlated Electrons · Physics 2015-05-13 Michael Moeckel , Stefan Kehrein

Dynamical mean-field theory is generalized to solve the nonequilibrium Keldysh boundary problem: a system is started in equilibrium at a temperature T=0.1, a uniform electric field is turned on at t=0, and the system is monitored as it…

Strongly Correlated Electrons · Physics 2008-08-14 J. K. Freericks

We discuss the critical behaviour of strongly interacting matter close to the QCD phase transition. Emphasis is put on a presentation of results from lattice calculations that illustrate deconfining as well as chiral symmetry restoring…

High Energy Physics - Lattice · Physics 2009-09-25 Frithjof Karsch

We discuss nonergodic dynamics of interacting spinless fermions in a tilted optical lattice as modeled by XXZ spin chain in magnetic (or electric) field changing linearly across the chain. The time dynamics is studied using exact…

Disordered Systems and Neural Networks · Physics 2021-07-07 Ruixiao Yao , Titas Chanda , Jakub Zakrzewski

In QCD with two flavors of massless quarks, the chiral phase transition is plausibly in the same universality class as the classical four component Heisenberg antiferromagnet. Therefore, renormalization group techniques developed in the…

High Energy Physics - Phenomenology · Physics 2009-10-22 K. Rajagopal , F. Wilczek

Using tensor network methods, we simulate the real-time evolution of the lattice Thirring model quenched out of equilibrium in both the critical and massive phases and study the appearance of dynamical quantum phase transitions, as…

High Energy Physics - Lattice · Physics 2025-06-25 Mari Carmen Bañuls , Krzysztof Cichy , Hao-Ti Hung , Ying-Jer Kao , C. -J. David Lin , Amit Singh

A formalism based on the fermionic functional-renormalization-group approach to interacting electron models defined on a lattice is presented. One-loop flow equations for the coupling constants and susceptibilities in the particle-particle…

Strongly Correlated Electrons · Physics 2024-08-21 Lucas Désoppi , Nicolas Dupuis , Claude Bourbonnais

The dynamics of isolated quantum systems following a sudden quench plays a central role in many areas of material science, high-energy physics, and quantum chemistry. Featuring complex phenomena with implications for thermalization,…

We study competing orders of spinless fermions in the triangular-lattice Hubbard model with nearest-neighbor interaction. We calculate the effective, momentum-resolved two-particle vertex in an unbiased way in terms of the functional…

Strongly Correlated Electrons · Physics 2022-10-19 Nico Gneist , Dominik Kiese , Ravn Henkel , Ronny Thomale , Laura Classen , Michael M. Scherer
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