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We propose possible approaches for the quantum simulation of itinerant spin-carrying particles in a superconducting qubit-resonator array. The standard Jaynes-Cummings-Hubbard setup considered in several recent studies can readily be used…

Quantum Physics · Physics 2014-11-05 S. Ashhab

Many-body systems with strong interactions often exhibit macroscopic behavior markedly absent in single-particle or noninteracting limits. Such emergent phenomena are well exemplified in lattice Hubbard models, where the interplay between…

We describe a superconducting-circuit lattice design for the implementation and simulation of dynamical lattice gauge theories. We illustrate our proposal by analyzing a one-dimensional U(1) quantum-link model, where superconducting qubits…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 D. Marcos , P. Rabl , E. Rico , P. Zoller

Quantum simulators are attractive as a means to study many-body quantum systems that are not amenable to classical numerical treatment. A versatile framework for quantum simulation is offered by superconducting circuits. In this…

Quantum Physics · Physics 2020-06-12 Samuel A. Wilkinson , Michael J. Hartmann

The pursuit of superconducting-based quantum computers has advanced the fabrication of and experimentation with custom lattices of qubits and resonators. Here, we describe a roadmap to use present experimental capabilities to simulate an…

Quantum Physics · Physics 2020-06-29 Yariv Yanay , Jochen Braumüller , Simon Gustavsson , William D. Oliver , Charles Tahan

Using superconducting quantum circuit elements, we propose an approach to experimentally construct a Kitaev lattice, which is an anisotropic spin model on a honeycomb lattice with three types of nearest-neighbor interactions and having…

Superconductivity · Physics 2010-07-21 J. Q. You , Xiao-Feng Shi , Xuedong Hu , Franco Nori

Quantum spin models are ubiquitous in solid-state physics, but classical simulation of them remains extremely challenging. Experimental testbed systems with a variety of spin-spin interactions and measurement channels are therefore needed.…

Quantum Physics · Physics 2026-03-06 Kellen O'Brien , Maya Amouzegar , Won Chan Lee , Martin Ritter , Alicia J. Kollár

Spin-1 systems, in comparison to spin-1/2 systems, offer a better security for encoding and transfer of quantum information, primarily due to their larger Hilbert spaces. Superconducting artificial atoms possess multiple energy-levels,…

Quantum Physics · Physics 2014-12-11 Joydip Ghosh

We show that lattice systems, such as the Bose-Hubbard model, can be simulated on a single nano- or micro-mechanical resonator, by exploiting its many modes. The on-site Hamiltonians are engineered by coupling the mechanical modes to the…

Quantum Physics · Physics 2012-09-13 Kurt Jacobs

We present a scalable hybrid architecture for the 2D surface code combining superconducting resonators and hole-spin qubits in nanowires with tunable direct Rashba spin-orbit coupling. The back-bone of this architecture is a square lattice…

Quantum Physics · Physics 2017-04-12 Simon E. Nigg , Andreas Fuhrer , Daniel Loss

Weak ergodicity breaking in interacting quantum systems may occur due to the existence of a subspace dynamically decoupled from the rest of the Hilbert space. In two-orbital spinful lattice systems, we construct such subspaces that are in…

Strongly Correlated Electrons · Physics 2026-03-04 Kiryl Pakrouski , K. V. Samokhin

The effective lattice models in strongly correlated electron systems are \emph{derived} in particular for the cuprate superconductors, that incorporate the quantum fluctuations of the spin Berry's phase and the antiferromagnetic…

Strongly Correlated Electrons · Physics 2019-03-15 Mu-Kun Lee , Chyh-Hong Chern

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

Advances in pure optical trapping techniques now allow the creation of degenerate Bose gases with internal degrees of freedom. Systems such as ${}^{87}$Rb, $^{39}$K or ${}^{23}$Na in the $F=1$ hyperfine state offer an ideal platform for…

A quantum simulator of U(1) lattice gauge theories can be implemented with superconducting circuits. This allows the investigation of confined and deconfined phases in quantum link models, and of valence bond solid and spin liquid phases in…

Quantum Physics · Physics 2014-10-28 D. Marcos , P. Widmer , E. Rico , M. Hafezi , P. Rabl , U. -J. Wiese , P. Zoller

Quantum simulations of Hubbard models with ultracold atoms rely on the exceptional control of coherent motion provided by optical lattices. Here we demonstrate enhanced tunability using an optical superlattice in a fermionic quantum gas…

We briefly overview the importance of Hubbard and Anderson-lattice models as applied to explanation of high-temperature and heavy-fermion superconductivity. Application of the models during the last two decades provided an explanation of…

Superconductivity · Physics 2015-06-23 Józef Spałek

We study a hybrid quantum system consisting of spin ensembles and superconducting flux qubits, where each spin ensemble is realized using the nitrogen-vacancy centers in a diamond crystal and the nearest-neighbor spin ensembles are…

Quantum Physics · Physics 2014-09-11 Yueyin Qiu , Wei Xiong , Lin Tian , J. Q. You

Long-distance two-qubit coupling, mediated by a superconducting resonator, is a leading paradigm for performing entangling operations in a quantum computer based on spins in semiconducting materials. Here, we demonstrate a novel,…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 C. G. L. Bøttcher , S. P. Harvey , S. Fallahi , G. C. Gardner , M. J. Manfra , U. Vool , S. D. Bartlett , A. Yacoby

Optical lattice systems provide exceptional platforms for quantum simulation of many-body systems. We focus on the doubly modulated Bose-Hubbard model driven by both time-dependent on-site energy and interaction, and predict the emergence…

Quantum Gases · Physics 2019-11-20 Hongzheng Zhao , Johannes Knolle , Florian Mintert
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