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For the Fermi-Hubbard model in the strongly interacting Mott insulator state, we study the pre-thermalization dynamics after a quench. To this end, we employ the method of the hierarchy of correlations and compare different levels of…

强关联电子 · 物理学 2025-02-05 Friedemann Queisser , Christian Kohlfürst , Ralf Schützhold

Although most studies of strongly correlated systems away from equilibrium have focused on clean systems, it is well known that disorder may significantly modify observed properties in various nontrivial ways. The nonequilibrium interplay…

强关联电子 · 物理学 2023-03-14 Eric Dohner , Hanna Terletska , Herbert F Fotso

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…

量子物理 · 物理学 2014-03-25 F. Queisser , K. V. Krutitsky , P. Navez , R. Schützhold

Using numerically exact methods we examine the Fermi-Hubbard model on arbitrary cluster topology. We focus on the question which systems eventually equilibrate or even thermalize after an interaction quench when initially prepared in a…

强关联电子 · 物理学 2020-07-29 Philip Bleicker , Joachim Stolze , Götz S. Uhrig

We study the relaxation dynamics of interacting, one-dimensional fermions with band curvature after a weak quench in the interaction parameter. After the quench, the system is described by a non-equilibrium initial state, which relaxes…

量子气体 · 物理学 2016-07-11 Michael Buchhold , Markus Heyl , Sebastian Diehl

We study prethermalization phenomena in weakly interacting Hubbard systems after electric-field pump pulses with finite duration. We treat the Hubbard interaction up to second order, applying the prethermalization paradigm for…

强关联电子 · 物理学 2022-03-09 Marc Alexander , Marcus Kollar

After a sudden disruption, weakly interacting quantum systems first relax to a prethermalized state that can be described by perturbation theory and a generalized Gibbs ensemble. Using these properties of the prethermalized state we…

强关联电子 · 物理学 2013-08-27 Michael Stark , Marcus Kollar

We study interaction quenches of the Fermi-Hubbard model initiated from various high-temperature and high-energy states, motivated by cold atom experiments, which currently operate above the ordering temperature(s). We analytically…

量子气体 · 物理学 2019-09-25 Ian G. White , Randall G. Hulet , Kaden R. A. Hazzard

We consider quantum quenches in an integrable quantum chain with tuneable-integrability-breaking interactions. In the case where these interactions are weak, we demonstrate that at intermediate times after the quench local observables relax…

统计力学 · 物理学 2014-04-23 F. H. L. Essler , S. Kehrein , S. R. Manmana , N. J. Robinson

Nonequilibrium dynamics of a nonintegrable system without the eigenstate thermalization hypothesis is studied. It is shown that, in the thermodynamic limit, this model thermalizes after an arbitrary quantum quench at finite temperature,…

统计力学 · 物理学 2017-09-06 Takashi Mori , Naoto Shiraishi

We introduce an extension of the non-equilibrium dynamical mean field theory to incorporate the effects of static random disorder in the dynamics of a many-particle system by integrating out different disorder configurations resulting in an…

强关联电子 · 物理学 2025-04-28 Chakradhar Rangi , Herbert F Fotso , Hanna Terletska , Juana Moreno , Ka-Ming Tam

We consider quenches of a quantum system that is prepared in a canonical equilibrium state of one Hamiltonian and then evolves unitarily in time under a different Hamiltonian. Technically, our main result is a systematic expansion of the…

统计力学 · 物理学 2025-11-14 Lennart Dabelow

We study the two-dimensional square lattice Hubbard model for small to moderate interaction strengths $1\leq U/t\leq 4$ by means of the ladder dual fermion approach. The non-local correlations beyond dynamical mean-field theory lower the…

强关联电子 · 物理学 2018-02-14 Erik G. C. P. van Loon , Hartmut Hafermann , Mikhail Katsnelson

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.…

统计力学 · 物理学 2017-07-06 Vincenzo Alba , Maurizio Fagotti

We study the effects of integrability breaking perturbations on the non-equilibrium evolution of many-particle quantum systems. We focus on a class of spinless fermion models with weak interactions. We employ equation of motion techniques…

统计力学 · 物理学 2015-11-04 Bruno Bertini , Fabian H. L. Essler , Stefan Groha , Neil J. Robinson

Unconventional nonequilibrium phases with restricted correlation spreading and slow entanglement growth have been proposed to emerge in systems with confined excitations, calling their thermalization dynamics into question. Here, we show…

统计力学 · 物理学 2024-10-25 Stefan Birnkammer , Alvise Bastianello , Michael Knap

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…

强关联电子 · 物理学 2013-01-29 Philipp Werner , Naoto Tsuji , Martin Eckstein

We study numerically the thermalisation and temporal evolution of the reduced density matrix for a two-site subsystem of a fermionic Hubbard model prepared far from equilibrium at a definite energy. Even for very small systems near quantum…

量子物理 · 物理学 2011-01-24 S. Genway , A. F. Ho , D. K. K. Lee

We consider the non-equilibrium dynamics arising after a quench of the transverse magnetic field of a quantum Ising chain, together with the sudden switch-on of a long-range interaction term. The dynamics after the quantum quench is mapped…

统计力学 · 物理学 2016-12-21 M. Marcuzzi , J. Marino , A. Gambassi , A. Silva

We employ the numerical linked-cluster expansion to study finite-temperature properties of the uniform cubic lattice Hubbard model in the thermodynamic limit for a wide range of interaction strengths and densities. We carry out the…

强关联电子 · 物理学 2016-09-13 Ehsan Khatami
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