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Related papers: Dynamical quantum phase transitions in $U(1)$ quan…

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We propose a scalable analog quantum simulator for quantum electrodynamics (QED) in two spatial dimensions. The setup for the U(1) lattice gauge field theory employs inter-species spin-changing collisions in an ultra-cold atomic mixture…

Quantum Gases · Physics 2021-09-29 Robert Ott , Torsten V. Zache , Fred Jendrzejewski , Jürgen Berges

The dynamics of the Luttinger model after a quantum quench is studied. We compute in detail one and two-point correlation functions for two types of quenches: from a non-interacting to an interacting Luttinger model and vice-versa. In the…

Quantum Gases · Physics 2010-03-29 A. Iucci , M. A. Cazalilla

We theoretically study the dynamical phase diagram of the Dicke model in both classical and quantum limits using large, experimentally relevant system sizes. Our analysis elucidates that the model features dynamical critical points that are…

Quantum Physics · Physics 2021-06-09 R. J. Lewis-Swan , S. R. Muleady , D. Barberena , J. J. Bollinger , A. M. Rey

We introduce local information flows as a diagnostic tool for characterizing out-of-equilibrium quantum dynamics in lattice gauge theories. We employ the information lattice framework, a local decomposition of total information into…

Quantum Physics · Physics 2025-12-23 Claudia Artiaco , João Barata , Enrique Rico

We analyze some crucial questions regarding the practical feasibility of quantum simulation for lattice gauge models. Our analysis focuses on two models suitable for the quantum simulation of the Schwinger Hamiltonian, or QED in 1+1…

Quantum Physics · Physics 2014-12-11 Stefan Kühn , J. Ignacio Cirac , Mari-Carmen Bañuls

One of the most remarkable results of quantum mechanics is the fact that many-body quantum systems may exhibit phase transitions even at zero temperature. Quantum fluctuations, deeply rooted in Heisenberg's uncertainty principle, and not…

Condensed matter physics of gauge theories coupled to fermions can exhibit a rich phase structure, but are nevertheless very difficult to study in Monte Carlo simulations when they are afflicted by a sign problem. As an alternate approach,…

High Energy Physics - Lattice · Physics 2023-03-08 Paolo Stornati , Philipp Krah , Karl Jansen , Debasish Banerjee

We study the dynamical quantum phase transitions (DQPTs) manifested in the subsequent unitary dynamics of an extended Ising model with additional three spin interactions following a sudden quench. Revisiting the equilibrium phase diagram of…

Statistical Mechanics · Physics 2018-04-24 Sourav Bhattacharjee , Amit Dutta

Quantum critical (QC) phase transitions generally lead to the absence of quasiparticles. The resulting correlated quantum fluid, when thermally excited, displays rich universal dynamics. We establish non-perturbative constraints on the…

Strongly Correlated Electrons · Physics 2015-04-30 William Witczak-Krempa

We overview the concept of dynamical phase transitions in isolated quantum systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized by an order parameter, which features qualitatively distinct temporal…

Statistical Mechanics · Physics 2022-10-25 Jamir Marino , Martin Eckstein , Matthew S. Foster , Ana Maria Rey

We discuss the application of an extended version of the coupled cluster method to systems exhibiting a quantum phase transition. We use the lattice O(4) non-linear sigma model in (1+1)- and (3+1)-dimensions as an example. We show how…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. E. Ligterink , N. R. Walet , R. F. Bishop

The accurate description and robust computational modeling of the nonequilibrium properties of quantum systems remain a challenge in condensed matter physics. In this work, we develop a linear-scale computational simulation technique for…

Disordered Systems and Neural Networks · Physics 2024-02-23 Niaz Ali Khan , Wen Chen , Munsif Jan , Gao Xianlong

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

Lattice gauge theory has provided a crucial non-perturbative method in studying canonical models in high-energy physics such as quantum chromodynamics. Among other models of lattice gauge theory, the lattice gauge-Higgs model is a quite…

Quantum Gases · Physics 2015-06-08 Yoshihito Kuno , Kenichi Kasamatsu , Yoshiro Takahashi , Ikuo Ichinose , Tetsuo Matsui

In this paper we study a 3D lattice spin model of CP$^1$ Schwinger-bosons coupled with dynamical compact U(1) gauge bosons. The model contains two parameters; the gauge coupling and the hopping parameter of CP$^1$ bosons. At large (weak)…

Strongly Correlated Electrons · Physics 2009-11-11 Shunsuke Takashima , Ikuo Ichinose , Tetsuo Matsui

We describe a superconducting-circuit lattice design for the implementation and simulation of dynamical lattice gauge theories. We illustrate our proposal by analyzing a one-dimensional U(1) quantum-link model, where superconducting qubits…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 D. Marcos , P. Rabl , E. Rico , P. Zoller

In this paper we shall study quantum critical behavior of lattice model of unconventional superconductors (SC) that was proposed in the previous papers. In this model, the Cooper-pair (CP) field is defined on lattice links in order to…

Superconductivity · Physics 2014-11-18 Kenji Sawamura , Ikuo Ichinose , Yuki Moribe

Locally constrained gauge theories underpin our understanding of fundamental interactions in particle physics and the emergent behaviour of quantum materials. In strongly correlated systems, they can give rise to quantum spin liquids that…

We present the design of a ring exchange interaction in cold atomic gases subjected to an optical lattice using well understood tools for manipulating and controlling such gases. The strength of this interaction can be tuned independently…

Strongly Correlated Electrons · Physics 2007-05-23 H. P. Büchler , M. Hermele , S. D. Huber , Matthew P. A. Fisher , P. Zoller

We consider a class of quantum lattice models in $1+1$ dimensions represented as local quantum circuits that enjoy a particular "dual-unitarity" property. In essence, this property ensures that both the evolution "in time" and that "in…

Statistical Mechanics · Physics 2019-11-26 Bruno Bertini , Pavel Kos , Tomaz Prosen