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Interaction quenches in strongly correlated electron systems provide a powerful route to probe nonequilibrium many-body dynamics. For the Hubbard model, nonequilibrium dynamical mean-field theory has revealed coherent post-quench…

Strongly Correlated Electrons · Physics 2026-01-30 Sankha Subhra Bakshi , Gia-Wei Chern

A simple and very flexible variational approach to the out-of-equilibrium quantum dynamics in strongly correlated electron systems is introduced through a time-dependent Gutzwiller wavefunction. As an application, we study the simple case…

Strongly Correlated Electrons · Physics 2010-09-10 Marco Schiró , Michele Fabrizio

We design a quantum molecular dynamics method for strongly correlated electron metals. The strong electronic correlation effects are treated within a real-space version of the Gutzwiller variational approximation (GA), which is suitable for…

Strongly Correlated Electrons · Physics 2017-07-12 Jean-Pierre Julien , Joel D. Kress , Jian-Xin Zhu

In this work, we explore the dynamics of entanglement of an isolated quantum system consisting of two time-dependent, coupled harmonic oscillators. Through the use of a numerical method that relies on the estimation of the system's Wigner…

Quantum Physics · Physics 2021-04-27 Cemal Dinc , Onur Oktay

We use the so-called Liouville-von Neumann (LvN) approach to study the nonequilibrium quantum dynamics of time-dependent second order phase transitions. The LvN approach is a canonical method that unifies the functional Schr\"{o}dinger…

High Energy Physics - Phenomenology · Physics 2009-10-31 Sang Pyo Kim , Chul H. Lee

By means of the discrete truncated Wigner approximation we study dynamical phase transitions arising in the steady state of transverse-field Ising models after a quantum quench. Starting from a fully polarized ferromagnetic initial…

Quantum Gases · Physics 2020-07-15 Reyhaneh Khasseh , Angelo Russomanno , Markus Schmitt , Markus Heyl , Rosario Fazio

We study the non equilibrium dynamics in the fermionic Hubbard model after a sudden change of the interaction strength. To this scope, we introduce a time dependent variational approach in the spirit of the Gutzwiller ansatz. At the…

Strongly Correlated Electrons · Physics 2015-05-27 Marco Schiro' , Michele Fabrizio

We introduce an approximate phase-space technique to simulate the quantum dynamics of interacting bosons. With the future goal of treating Bose-Einstein condensate systems, the method is designed for systems with a natural separation into…

Quantum Physics · Physics 2009-11-13 Scott E. Hoffmann , Joel F. Corney , Peter D. Drummond

Neural quantum states have recently demonstrated significant potential for simulating quantum dynamics beyond the capabilities of existing variational ans\"{a}tze. However, studying strongly driven quantum dynamics with neural networks has…

Quantum Physics · Physics 2025-12-22 Hrvoje Vrcan , Johan H. Mentink

We propose a systematic approach to the systems of correlated electrons, the so-called $\mathbf{k}$-DE-GWF method, based on reciprocal-space ($\mathbf{k}$-resolved) diagrammatic expansion of the variational Gutzwiller-type wave function for…

Strongly Correlated Electrons · Physics 2020-08-06 M. Fidrysiak , M. Zegrodnik , J. Spałek

We study the dynamics and redistribution of entanglement and coherence in three time-dependent coupled harmonic oscillators. We resolve the Schr\"{o}dinger equation by using time-dependent Euler rotation together with a linear quench model…

Quantum Physics · Physics 2021-06-30 Radouan Hab-arrih , Ahmed Jellal , Abdeldjalil Merdaci

We study the Hamiltonian dynamics of the spherical spin model with fully-connected two-body interactions drawn from a Gaussian probability distribution. In the statistical physics framework, the potential energy is of the so-called $p=2$…

Statistical Mechanics · Physics 2018-07-04 Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi , Marco Picco , Alessandro Tartaglia

The energy-dependent scattering of fermions from a localized orbital at an energy-dependent rate $\Gamma(\epsilon)\propto |\epsilon|^r$ gives rise to quantum critical points (QCPs) in the pseudogap single-impurity Anderson model separating…

Strongly Correlated Electrons · Physics 2015-01-08 Christian Kleine , Julian Mußhoff , Frithjof B. Anders

The dynamics of a quantum system following a sudden, highly non-adiabatic change of its control parameter (quantum quench) is studied with quasiclassical techniques. Recent works have shown, using exact quantum mechanical approach, that…

We study post-quench dynamics of charge-density-wave (CDW) order in the square-lattice $t$-$V$ model. The ground state of this system at half-filling is characterized by a checkerboard modulation of particle density. A generalized…

Statistical Mechanics · Physics 2024-06-18 Lingyu Yang , Yang Yang , Gia-Wei Chern

We investigate the nonequilibrium dynamics induced by an interaction quench in the semiclassical Holstein model within the Ehrenfest nonadiabatic framework, which describes an isolated hybrid quantum-classical system with strictly conserved…

Strongly Correlated Electrons · Physics 2026-02-06 Ho Jang , Gia-Wei Chern

We introduce the time-dependent ghost Gutzwiller approximation (td-gGA), a non-equilibrium extension of the ghost Gutzwiller approximation (gGA), a powerful variational approach which systematically improves on the standard Gutzwiller…

Strongly Correlated Electrons · Physics 2023-08-23 Daniele Guerci , Massimo Capone , Nicola Lanatà

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,…

Strongly-coupled gauge theories far from equilibrium may exhibit unique features that could illuminate the physics of the early universe and of hadron and ion colliders. Studying real-time phenomena has proven challenging with…

In this paper, we study the dynamics of the Bose-Hubbard model with the nearest-neighbor repulsion by using time-dependent Gutzwiller methods. Near the unit filling, the phase diagram of the model contains density wave (DW), supersolid (SS)…

Quantum Gases · Physics 2018-12-06 Keita Shimizu , Takahiro Hirano , Jonghoon Park , Yoshihito Kuno , Ikuo Ichinose
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