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Lattice gauge theory should be able to address significant new scientific questions when implemented on quantum computers. In practice, error-mitigation techniques have already allowed encouraging progress on small lattices. In this work we…

High Energy Physics - Lattice · Physics 2024-07-01 Ali H. Z. Kavaki , Randy Lewis

The false vacuum decay has been a central theme in physics for half a century with applications to cosmology and to the theory of fundamental interactions. This fascinating phenomenon is even more intriguing when combined with the…

Statistical Mechanics · Physics 2021-11-19 Gianluca Lagnese , Federica Maria Surace , Márton Kormos , Pasquale Calabrese

Lattice gauge theories in varying dimensions, lattice volumes, and truncations offer a rich family of targets for Hamiltonian simulation on quantum devices. In return, formulating quantum simulations can provide new ways of thinking about…

The Hamiltonian approach can be used successfully to study the real-time evolution of a non-Abelian lattice gauge theory on the available noisy quantum computers. In this work, results from the real-time evolution of SU(2) pure gauge theory…

High Energy Physics - Lattice · Physics 2022-10-24 Sarmed A Rahman , Randy Lewis , Emanuele Mendicelli , Sarah Powell

Gauge theories are fundamental to our understanding of interactions between the elementary constituents of matter as mediated by gauge bosons. However, computing the real-time dynamics in gauge theories is a notorious challenge for…

Quantum Physics · Physics 2016-06-28 E. A. Martinez , C. A. Muschik , P. Schindler , D. Nigg , A. Erhard , M. Heyl , P. Hauke , M. Dalmonte , T. Monz , P. Zoller , R. Blatt

The quantum decay of a relativistic scalar field from a metastable state ("false vacuum decay") is a fundamental idea in quantum field theory and cosmology. This occurs via local formation of bubbles of true vacuum with their subsequent…

We investigate false vacuum decay of a relativistic scalar field initialized in the metastable minimum of an asymmetric double-well potential. The transition to the true ground state is a well-defined initial-value problem in real time,…

High Energy Physics - Theory · Physics 2024-01-09 Laura Batini , Aleksandr Chatrchyan , Jürgen Berges

We investigate lattice simulations of scalar and nonabelian gauge fields in Minkowski space-time. For SU(2) gauge-theory expectation values of link variables in 3+1 dimensions are constructed by a stochastic process in an additional (5th)…

High Energy Physics - Lattice · Physics 2008-11-26 J. Berges , Sz. Borsanyi , D. Sexty , I. -O. Stamatescu

Lattice gauge theory is an essential tool for strongly interacting non-Abelian fields, such as those in quantum chromodynamics where lattice results have been of central importance for several decades. Recent studies suggest that quantum…

High Energy Physics - Lattice · Physics 2021-08-18 Sarmed A Rahman , Randy Lewis , Emanuele Mendicelli , Sarah Powell

Due to rapidly improving quantum computing hardware, Hamiltonian simulations of relativistic lattice field theories have seen a resurgence of attention. This computational tool requires turning the formally infinite-dimensional Hilbert…

High Energy Physics - Phenomenology · Physics 2023-07-25 Christian W. Bauer , Irian D'Andrea , Marat Freytsis , Dorota M. Grabowska

Far-from-equilibrium dynamics of SU(2) gauge theory with Wilson fermions is studied in 1+1 space-time dimensions using a real-time lattice approach. Lattice improved Hamiltonians are shown to be very efficient in simulating Schwinger pair…

High Energy Physics - Phenomenology · Physics 2019-03-05 D. Spitz , J. Berges

We propose an analog quantum simulator for simulating real time dynamics of $(1+1)$-d non-Abelian gauge theory well within the existing capacity of ultracold atom experiments. The scheme calls for the realization of a two-state ultracold…

High Energy Physics - Lattice · Physics 2020-09-30 Raka Dasgupta , Indrakshi Raychowdhury

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

Lattice gauge theories are fundamental to various fields, including particle physics, condensed matter, and quantum information theory. Recent progress in the control of quantum systems allows for studying Abelian lattice gauge theories in…

Simulating lattice gauge theories on quantum computers presents unique challenges that drive the development of novel theoretical frameworks. The orbifold lattice approach offers a scalable method for simulating SU($N$) gauge theories in…

High Energy Physics - Lattice · Physics 2026-04-07 Emanuele Mendicelli , Georg Bergner , Masanori Hanada

We revisit quantum false vacuum decay for the one-dimensional Ising model, focusing on the real-time nucleation and growth of true vacuum bubbles. Via matrix product state simulations, we demonstrate that for a wide range of parameters, the…

Statistical Mechanics · Physics 2025-08-20 Daan Maertens , Jutho Haegeman , Karel Van Acoleyen

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

False vacuum decay in scalar quantum field theory (QFT) is a cornerstone of early Universe cosmology and high energy physics, yet its real-time dynamics is essentially inaccessible to classical computation due to its non-perturbative,…

Quantum Physics · Physics 2025-11-27 Steven Abel , Michael Spannowsky , Simon Williams

We investigate (2+1)-d Hamiltonian lattice gauge theory using a class of Hamiltonians having exactly known vacuum states. These theories are shown to have a wide range of possible classical continuum limits which differ from that of the…

High Energy Physics - Lattice · Physics 2009-10-22 G. Frichter , D. Robson

It is widely anticipated that a large-scale quantum computer will offer an evermore accurate simulation of nature, opening the floodgates for exciting scientific breakthroughs and technological innovations. Here, we show a complete,…

Quantum Physics · Physics 2022-01-27 Angus Kan , Yunseong Nam
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