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The one-dimensional quantum breakdown model, which features spatially asymmetric fermionic interactions simulating the electrical breakdown phenomenon, exhibits an exponential U(1) symmetry and a variety of dynamical phases including…

Strongly Correlated Electrons · Physics 2024-08-27 Yu-Min Hu , Biao Lian

Dynamical quantum phase transitions are at the forefront of current efforts to understand quantum matter out of equilibrium. Except for a few exactly solvable models, predictions of these critical phenomena typically rely on advanced…

Strongly Correlated Electrons · Physics 2022-07-18 Fredrik Brange , Sebastiano Peotta , Christian Flindt , Teemu Ojanen

Cold atoms have become a powerful platform for quantum-simulating lattice gauge theories in higher spatial dimensions. However, such realizations have been restricted to the lowest possible truncations of the gauge field, which limit the…

A major objective of the strong ongoing drive to realize quantum simulators of gauge theories is achieving the capability to probe collider-relevant physics on them. In this regard, a highly pertinent and sought-after application is the…

Quantum Gases · Physics 2025-07-22 Guo-Xian Su , Jesse Osborne , Jad C. Halimeh

High dimensional integrals are abundant in many fields of research including quantum physics. The aim of this paper is to develop efficient recursive strategies to tackle a class of high dimensional integrals having a special product…

Numerical Analysis · Mathematics 2021-07-28 Tobias Hartung , Karl Jansen , Frances Y. Kuo , Hernan Leövey , Dirk Nuyens , Ian H. Sloan

In these proceedings, we review recent advances in applying quantum computing to lattice field theory. Quantum computing offers the prospect to simulate lattice field theories in parameter regimes that are largely inaccessible with the…

High Energy Physics - Lattice · Physics 2023-08-10 Lena Funcke , Tobias Hartung , Karl Jansen , Stefan Kühn

Tensor network algorithms provide a suitable route for tackling real-time dependent problems in lattice gauge theories, enabling the investigation of out-of-equilibrium dynamics. We analyze a U(1) lattice gauge theory in (1+1) dimensions in…

Quantum Gases · Physics 2016-03-07 T. Pichler , M. Dalmonte , E. Rico , P. Zoller , S. Montangero

Dynamical quantum phase transitions (DQPTs) are a powerful concept of probing far-from-equilibrium criticality in quantum many-body systems. With the strong ongoing experimental drive to quantum-simulate lattice gauge theories, it becomes…

Strongly Correlated Electrons · Physics 2022-12-13 Maarten Van Damme , Torsten V. Zache , Debasish Banerjee , Philipp Hauke , Jad C. Halimeh

We introduce a method for quantum simulation of U$(1)$ lattice gauge theories coupled to matter, utilizing alkaline-earth(-like) atoms in state-dependent optical lattices. The proposal enables the study of both gauge and fermionic-matter…

Elucidating the phase diagram of lattice gauge theories with fermionic matter in 2+1 dimensions has become a problem of considerable interest in recent years, motivated by physical problems ranging from chiral symmetry breaking in…

Strongly Correlated Electrons · Physics 2020-05-15 Nikolai Zerf , Rufus Boyack , Peter Marquard , John A. Gracey , Joseph Maciejko

Quantum simulations of High Energy Physics, and especially of gauge theories, is an emerging and exciting direction in quantum simulations. However, simulations of such theories, compared to simulations of condensed matter physics, must…

Quantum Physics · Physics 2013-08-29 Erez Zohar , J. Ignacio Cirac , Benni Reznik

We discuss a general framework for the realization of a family of abelian lattice gauge theories, i.e., link models or gauge magnets, in optical lattices. We analyze the properties of these models that make them suitable to quantum…

Quantum Gases · Physics 2013-02-08 L. Tagliacozzo , A. Celi , A. Zamora , M. Lewenstein

Quantum computation represents an emerging framework to solve lattice gauge theories (LGT) with arbitrary gauge groups, a general and long-standing problem in computational physics. While quantum computers may encode LGT using only…

Quantum Physics · Physics 2022-01-21 Giulia Mazzola , Simon V. Mathis , Guglielmo Mazzola , Ivano Tavernelli

Quantum computing promises the possibility of studying the real-time dynamics of nonperturbative quantum field theories while avoiding the sign problem that obstructs conventional lattice approaches. Current and near-future quantum devices…

High Energy Physics - Lattice · Physics 2021-12-15 Christopher Culver , David Schaich

We use an extension of fundamental measure theory to lattice hard-core fluids to study the phase diagram of two different systems. First, two-dimensional parallel hard squares with edge-length $\sigma=2$ in a simple square lattice. This…

Soft Condensed Matter · Physics 2009-11-10 Luis Lafuente , Jose A. Cuesta

Gauge theory is the framework of the Standard Model of particle physics and is also important in condensed matter physics. As its major non-perturbative approach, lattice gauge theory is traditionally implemented using Monte Carlo…

Quantum Physics · Physics 2020-09-03 Xiaopeng Cui , Yu Shi , Ji-Chong Yang

In this paper, we examine a compact $U(1)$ lattice gauge theory in $(2+1)$ dimensions and present a strategy for studying the running coupling and extracting the non-perturbative $\Lambda$-parameter. To this end, we combine Monte Carlo…

High Energy Physics - Lattice · Physics 2024-06-13 Arianna Crippa , Simone Romiti , Lena Funcke , Karl Jansen , Stefan Kühn , Paolo Stornati , Carsten Urbach

Gauge theories are of paramount importance in our understanding of fundamental constituents of matter and their interactions. However, the complete characterization of their phase diagrams and the full understanding of non-perturbative…

High Energy Physics - Lattice · Physics 2021-06-24 Giuseppe Magnifico , Timo Felser , Pietro Silvi , Simone Montangero

This paper fires the opening salvo in the systematic construction of the lattice-continuum correspondence, a precise dictionary that describes the emergence of continuum quantum theories from finite, nonperturbatively defined models…

High Energy Physics - Theory · Physics 2021-08-31 Djordje Radicevic

We propose a minimal model to study the real-time dynamics of a $\mathbb{Z}_2$ lattice gauge theory coupled to fermionic matter in a cold atom quantum simulator setup. We show that dynamical correlators of the gauge fields can be measured…

Quantum Gases · Physics 2018-08-29 Adam Smith , Dmitry L. Kovrizhin , Roderich Moessner , Johannes Knolle