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Gauge field theories play a central role in modern physics and are at the heart of the Standard Model of elementary particles and interactions. Despite significant progress in applying classical computational techniques to simulate gauge…

Recently, quantum simulation of low-dimensional lattice gauge theories (LGTs) has attracted many interests, which may improve our understanding of strongly correlated quantum many-body systems. Here, we propose an implementation to…

量子气体 · 物理学 2022-02-10 Zi-Yong Ge , Rui-Zhen Huang , Zi Yang Meng , Heng Fan

Quantum simulations of high-energy physics in $2+1$D can probe dynamical phenomena nonexistent in one spatial dimension and access regimes that are challenging for existing classical simulation methods. For string dynamics -- relevant to…

Gauge theories describe the fundamental forces in the standard model of particle physics and play an important role in condensed matter physics. The constituents of gauge theories, for example charged matter and electric gauge field, are…

Abelian and non-Abelian gauge theories are of central importance in many areas of physics. In condensed matter physics, Abelian U(1) lattice gauge theories arise in the description of certain quantum spin liquids. In quantum information…

量子物理 · 物理学 2015-06-15 U. -J. Wiese

We propose the implementation of a digital quantum simulation of spin chains coupled to bosonic field modes in superconducting circuits. Gates with high fidelities allows one to simulate a variety of Ising magnetic pairing interactions with…

量子物理 · 物理学 2015-10-02 U. Las Heras , L. García-Álvarez , A. Mezzacapo , E. Solano , L. Lamata

Gauge theories are the most successful theories for describing nature at its fundamental level, but obtaining analytical or numerical solutions often remains a challenge. We propose an experimental quantum simulation scheme to study ground…

Recent experimental realizations of the lattice Schwinger model [Nature 587, 392 (2020) and Science 367, 1128 (2020)] open a door for quantum simulation of elementary particles and their interactions using ultracold atoms, in which the…

量子气体 · 物理学 2023-03-03 Chunping Gao , Jinghu Liu , Maolin Chang , Han Pu , Li Chen

Quantum link models (QLMs) are generalizations of Wilson's lattice gauge theory formulated with finite-dimensional link Hilbert spaces. In certain cases, the non-Abelian Gauss Law constraint can be exactly solved, and the gauge invariant…

高能物理 - 格点 · 物理学 2024-12-16 Graham Van Goffrier , Debasish Banerjee , Bipasha Chakraborty , Emilie Huffman , Sandip Maiti

We describe methods to construct digital quantum simulation algorithms for quantum spin systems on a regular lattice with local interactions. In addition to tools such as the Trotter-Suzuki expansion and graph coloring, we also discuss the…

量子物理 · 物理学 2025-03-12 Guido Burkard

Quantum simulations of lattice gauge theories are anticipated to directly probe the real time dynamics of QCD, but scale unfavorably with the required truncation of the gauge fields. Improved Hamiltonians are derived to correct for the…

高能物理 - 格点 · 物理学 2023-11-07 Anthony N. Ciavarella

Quantum link models (QLMs) have attracted a lot of attention in recent times as a generalization of Wilson's lattice gauge theories (LGT), and are particularly suitable for realization on quantum simulators and computers. These models are…

高能物理 - 格点 · 物理学 2022-11-10 Debasish Banerjee , Emilie Huffman , Lukas Rammelmüller

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…

量子物理 · 物理学 2020-09-03 Xiaopeng Cui , Yu Shi , Ji-Chong Yang

We study the quantum simulation of Z2 lattice gauge theory in 2+1 dimensions. The dual variable formulation, the so-called Wegner duality, is utilized for reducing redundant gauge degrees of freedom. The problem of artificial charge…

高能物理 - 格点 · 物理学 2021-02-02 Arata Yamamoto

For many quantum systems of interest, the classical computational cost of simulating their time evolution scales exponentially in the system size. At the same time, quantum computers have been shown to allow for simulations of some of these…

量子物理 · 物理学 2023-01-25 Dorota M. Grabowska , Christopher Kane , Benjamin Nachman , Christian W. Bauer

We propose a method for simulating 2+1-d compact lattice quantum-electrodynamics (QED), using ultracold atoms in optical lattices. In our model local Bose-Einstein condensates' phases correspond to the electromagnetic vector-potential, and…

量子物理 · 物理学 2015-05-30 Erez Zohar , Benni Reznik

Understanding exotic forms of magnetism in quantum mechanical systems is a central goal of modern condensed matter physics, with implications from high temperature superconductors to spintronic devices. Simulating magnetic materials in the…

量子气体 · 物理学 2011-05-17 Jonathan Simon , Waseem S. Bakr , Ruichao Ma , M. Eric Tai , Philipp M. Preiss , Markus Greiner

Using a Fermi-Bose mixture of ultra-cold atoms in an optical lattice, we construct a quantum simulator for a U(1) gauge theory coupled to fermionic matter. The construction is based on quantum links which realize continuous gauge symmetry…

量子气体 · 物理学 2015-06-05 D. Banerjee , M. Dalmonte , M. Müller , E. Rico , P. Stebler , U. -J. Wiese , P. Zoller

The Schwinger model (quantum electrodynamics in 1+1 dimensions) is a testbed for the study of quantum gauge field theories. We give scalable, explicit digital quantum algorithms to simulate the lattice Schwinger model in both NISQ and…

量子物理 · 物理学 2020-08-12 Alexander F. Shaw , Pavel Lougovski , Jesse R. Stryker , Nathan Wiebe

The $U(1)$ quantum link model on the triangular lattice has two rotation-symmetry-breaking nematic confined phases. Static external charges are connected by confining strings consisting of individual strands with fractionalized electric…

高能物理 - 格点 · 物理学 2021-07-06 D. Banerjee , S. Caspar , F. -J. Jiang , J. -H. Peng , U. -J. Wiese