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Quantum criticality in systems of local moments interacting with itinerant electrons has become an important and diverse field of research. Here we review recent results which concern (a) quantum phase transitions in single-impurity Kondo…

Strongly Correlated Electrons · Physics 2015-07-19 Matthias Vojta , Ralf Bulla , Peter Wölfle

We study the time evolution of classical spin systems with purely relaxational dynamics, quenched from T >> T_c to the critical point, in the semi-infinite geometry. Shortly after the quench, like in the bulk, a nonequilibrium regime…

Condensed Matter · Physics 2009-10-28 U. Ritschel , P. Czerner

Non-equilibrium dynamics of many-body systems is important in many branches of science, such as condensed matter, quantum chemistry, and ultracold atoms. Here we report the experimental observation of a phase transition of the quantum…

Quantum Physics · Physics 2015-09-24 Gonzalo A. Alvarez , Dieter Suter , Robin Kaiser

We investigate the occurrence of genuine quantum effects and beyond mean-field physics in the balanced and unbalanced open Dicke model with a large, yet finite number of atoms $N$. Such driven and dissipative quantum many-body systems have…

Quantum Physics · Physics 2025-11-18 Kai Müller , Walter T. Strunz

We introduce a group-theoretical extension of the Dicke model which describes an ensemble of two-level atoms interacting with a finite radiation field. The latter is described by a spin model whose main feature is that it possesses a…

Quantum Physics · Physics 2020-06-17 L. F. Quezada , A. Martín-Ruiz , A. Frank

A phase transition describes the sudden change of state in a physical system, such as the transition between a fluid and a solid. Quantum gases provide the opportunity to establish a direct link between experiment and generic models which…

Quantum Physics · Physics 2010-06-01 Kristian Baumann , Christine Guerlin , Ferdinand Brennecke , Tilman Esslinger

We study the quench dynamics of an Anderson impurity model using the configuration interaction (CI) method. In particular, we focus on the relaxation behavior of the impurity occupation. The system is found to behave very differently in the…

Strongly Correlated Electrons · Physics 2015-10-26 Chungwei Lin , Alexander A. Demkov

In this work we study the relaxation of the system of strongly correlated electrons, at charge neutrality, when the chemical potential undergoes a local change. This setup is a model for for the X-ray absorbtion edge study in the…

High Energy Physics - Theory · Physics 2020-07-15 Alexander Krikun

We use non-equilibrium dynamical mean-field theory to demonstrate the existence of a critical interaction in the real-time dynamics of the Hubbard model after an interaction quench. The critical point is characterized by fast thermalization…

Strongly Correlated Electrons · Physics 2009-09-02 Martin Eckstein , Marcus Kollar , Philipp Werner

Processes that break molecular bonds are typically observed with molecules occupying a mixture of quantum states and successfully described with quasiclassical models, while a few studies have explored the distinctly quantum mechanical…

Atomic Physics · Physics 2018-10-10 S. S. Kondov , C. -H. Lee , M. McDonald , B. H. McGuyer , I. Majewska , R. Moszynski , T. Zelevinsky

We show that a closed quantum system driven through a quantum critical point with two rates $\omega_1$ (which controls its proximity to the quantum critical point) and $\omega_2$ (which controls the dispersion of the low-energy…

Quantum Gases · Physics 2014-10-01 Jay D. Sau , K. Sengupta

We investigate the dynamical properties of the finite-size Dicke model coupled to a photon reservoir in the dispersive regime. The system-reservoir coupling in our Hamiltonian includes counter-rotating terms, which are relevant in the…

Quantum Physics · Physics 2019-01-14 Ryosuke Imai , Yoshiya Yamanaka

The emerging field of quantum thermodynamics is contributing important results and insights into archetypal many-body problems, including quantum phase transitions. Still, the question whether out-of-equilibrium quantities, such as…

We study dynamical quantum phase transitions (DQPTs) in the extended Bose-Hubbard model after a sudden quench of the nearest-neighbor interaction strength. Using the time-dependent density matrix renormalization group, we demonstrate that…

Quantum Gases · Physics 2023-05-03 Sebastian Stumper , Michael Thoss , Junichi Okamoto

We describe the nonzero temperature (T), low frequency (\omega) dynamics of the order parameter near quantum critical points in two spatial dimensions (d), with a special focus on the regime \hbar\omega << k_B T. For the case of a…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev

In recent times it has been observed that signatures of equilibrium quantum criticality surprisingly show up in many-body systems which are manifestly far from equilibrium. We explore such scenarios in interacting spin systems subject to a…

Statistical Mechanics · Physics 2023-03-02 Souvik Bandyopadhyay , Anatoli Polkovnikov , Amit Dutta

Dynamical quantum phase transitions (DQPTs) are non-equilibrium transitions characterized by the orthogonality between an initial quantum state and its time-evolved counterpart following a sudden quench. Recently, studies of this phenomenon…

Quantum Physics · Physics 2026-05-27 Kai Zhang , Chang Shu , Kai Sun

We investigate the relaxation dynamics of equal-time correlations in the antiferromagnetic phase of the XXZ spin-1/2 chain following a global quantum quench of the anisotropy parameter. We focus, in particular, on the relaxation dynamics…

Strongly Correlated Electrons · Physics 2024-01-02 Flávia B. Ramos , Andrew Urichuk , Imke Schneider , Jesko Sirker

The correlated non-equilibrium dynamics of few-boson systems in one-dimensional finite lattices is investigated. Starting from weak interactions we perform a sudden interaction quench and employ the numerically exact Multi-Layer…

Quantum Gases · Physics 2017-10-31 S. I. Mistakidis , L. Cao , P. Schmelcher

Much has been learned regarding dynamical quantum phase transition (DQPT) due to sudden quenches across quantum critical points in traditional quantum systems. However, not much has been explored when a system undergoes a…

Quantum Gases · Physics 2021-06-29 Ranjan Modak , Debraj Rakshit