期刊
REPORTS ON PROGRESS IN PHYSICS
卷 83, 期 2, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1361-6633/ab6311
关键词
lattice gauge theories; quantum simulation; numerical methods; tensor networks; quantum technologies
资金
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence-EXC-2111 [390814868]
- EU-QUANTERA project QTFLAG (BMBF) [13N14780]
- National Science Foundation [NSF PHY-1748958]
- National Science Centre (Poland) [SONATA BIS 2016/22/E/ST2/00013]
Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying quantum field theories, and has led to impressive achievements. In particular, it significantly deepened our understanding of quantum chromodynamics. Yet, some very relevant problems remain inherently challenging, such as real time evolution, or the presence of a chemical potential, cases in which Monte Carlo simulations are hindered by a sign problem. In the last few years, a number of possible alternatives have been put forward, based on quantum information ideas, which could potentially open the access to areas of research that have so far eluded more standard methods. They include tensor network calculations, quantum simulations with different physical platforms and quantum computations, and constitute nowadays a vibrant research area. Experts from different fields, including experimental and theoretical high energy physics, condensed matter, and quantum information, are turning their attention to these interdisciplinary possibilities, and driving the progress of the field. The aim of this article is to review the status and perspectives of these new avenues for the exploration of lattice gauge theories.
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