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The prospect of quantum simulating lattice gauge theories opens exciting possibilities for understanding fundamental forms of matter. Here, we show that trapped ions represent a promising platform in this context when simultaneously…

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…

Recent theoretical studies of various strongly-correlated systems in condensed matter physics reveal that the lattice gauge theory(LGT) developed in high-energy physics is quite a useful tool to understand physics of these systems.…

Strongly Correlated Electrons · Physics 2015-06-22 Ikuo Ichinose , Tetsuo Matsui

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…

High Energy Physics - Lattice · Physics 2021-07-06 D. Banerjee , S. Caspar , F. -J. Jiang , J. -H. Peng , U. -J. Wiese

We present a scheme for simulating relativistic quantum physics in circuit quantum electrodynamics. By using three classical microwave drives, we show that a superconducting qubit strongly-coupled to a resonator field mode can be used to…

Quantum Physics · Physics 2013-05-20 J. S. Pedernales , R. Di Candia , D. Ballester , E. Solano

Superconducting qubits are solid state electrical circuits fabricated using techniques borrowed from conventional integrated circuits. They are based on the Josephson tunnel junction, the only non-dissipative, strongly non-linear circuit…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. H. Devoret , A. Wallraff , J. M. Martinis

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

Superconducting circuits are highly controllable platforms to manipulate quantum states, which make them particularly promising for quantum information processing. We here show how the existence of a distance-independent interaction between…

Quantum Physics · Physics 2023-09-20 Pedro Rosario , Alan C. Santos , Celso Jorge Villas-Boas , Romain Bachelard

We present a neural flow wavefunction, Gauge-Fermion FlowNet, and use it to simulate 2+1D lattice compact quantum electrodynamics with finite density dynamical fermions. The gauge field is represented by a neural network which parameterizes…

High Energy Physics - Lattice · Physics 2022-12-15 Zhuo Chen , Di Luo , Kaiwen Hu , Bryan K. Clark

Lattice gauge theories (LGTs) are one of the most fundamental subjects in many-body physics, and has recently attracted considerable research interests in quantum simulations. Here we experimentally investigate the emergent $\mathbb{Z}_2$…

Motivated by recent realizations of two-dimensional (2D) superconducting-qubit lattices, we propose a protocol to simulate Hofstadter butterfly with synthetic gauge fields in superconducting circuits. Based on the existing 2D…

Quantum Physics · Physics 2023-06-21 Wei Feng , Dexi Shao , Guo-Qiang Zhang , Qi-Ping Su , Jun-Xiang Zhang , Chui-Ping Yang

The concept of flat band plays an important role in strongly-correlated many-body physics. However, the demonstration of the flat band physics is highly nontrivial due to intrinsic limitations in conventional condensed matter materials.…

Quantum Physics · Physics 2016-06-29 Zi-He Yang , Yan-Pu Wang , Zheng-Yuan Xue , Wan-Li Yang , Yong Hu , Jin-Hua Gao , Ying Wu

In this short review we describe the process of designing a superconducting circuit device for quantum information applications. We discuss the factors that must be considered to implement a desired effective Hamiltonian on a device. We…

Quantum Physics · Physics 2025-06-18 Eli M. Levenson-Falk , Sadman Ahmed Shanto

We introduce a U(1) lattice gauge theory with dual gauge fields and study its phase structure. This system is motivated by unconventional superconductors like extended s-wave and d-wave superconductors in the strongly-correlated electron…

Strongly Correlated Electrons · Physics 2007-05-23 Tomoyoshi Ono , Yuki Moribe , Shunsuke Takashima , Ikuo Ichinose , Tetsuo Matsui , Kazuhiko Sakakibara

A scheme for coupling superconducting charge qubits via a one-dimensional superconducting transmission line resonator is proposed. The qubits are working at their optimal points, where they are immune to the charge noise and possess long…

Quantum Physics · Physics 2012-10-23 Zheng-Yuan Xue

We propose a superconducting circuit platform for simulating spin-1 models. To this purpose we consider a chain of N ultrastrongly coupled qubit-resonator systems interacting through a grounded SQUID. The anharmonic spectrum of the…

Quantum Physics · Physics 2018-02-07 F. Albarrán-Arriagada , L. Lamata , E. Solano , G. Romero , J. C. Retamal

The quantum link~\cite{Brower:1997ha} Hamiltonian was introduced two decades ago as an alternative to Wilson's Euclidean lattice QCD with gauge fields represented by bi-linear fermion/anti-fermion operators. When generalized this new…

High Energy Physics - Lattice · Physics 2020-02-25 Richard C. Brower , David Berenstein , Hiroki Kawai

Particle transport and localization phenomena in condensed-matter systems can be modeled using a tight-binding lattice Hamiltonian. The ideal experimental emulation of such a model utilizes simultaneous, high-fidelity control and readout of…

We present an unconstrained tree tensor network approach to the study of lattice gauge theories in two spatial dimensions showing how to perform numerical simulations of theories in presence of fermionic matter and four-body magnetic terms,…

Quantum Physics · Physics 2021-02-01 Timo Felser , Pietro Silvi , Mario Collura , Simone Montangero

In addition to their central role in quantum information processing, qubits have proven to be useful tools in a range of other applications such as enhanced quantum sensing and as spectrometers of quantum noise. Here we show that a…

Quantum Physics · Physics 2015-06-17 Maxime Boissonneault , A. C. Doherty , F. R. Ong , P. Bertet , D. Vion , D. Esteve , A. Blais