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In this paper we study a 3D lattice spin model of CP$^1$ Schwinger-bosons coupled with dynamical compact U(1) gauge bosons. The model contains two parameters; the gauge coupling and the hopping parameter of CP$^1$ bosons. At large (weak)…

Strongly Correlated Electrons · Physics 2009-11-11 Shunsuke Takashima , Ikuo Ichinose , Tetsuo Matsui

We analyze the zero-temperature phases of an array of neutral atoms on the kagome lattice, interacting via laser excitation to atomic Rydberg states. Density-matrix renormalization group calculations reveal the presence of a wide variety of…

Quantum Gases · Physics 2021-01-20 Rhine Samajdar , Wen Wei Ho , Hannes Pichler , Mikhail D. Lukin , Subir Sachdev

The existence of a quantum spin liquid (QSL) in which quantum fluctuations of spins are sufficiently strong to preclude spin ordering down to zero temperature was originally proposed theoretically more than 40 years ago, but its…

The enhancement of the spin-space symmetry from the usual $\mathrm{SU}(2)$ to $\mathrm{SU}(N)$ with $N>2$ is promising for finding nontrivial quantum spin liquids, but the realization of $\mathrm{SU}(N)$ spin systems in real materials is…

Strongly Correlated Electrons · Physics 2020-04-07 Masahiko G. Yamada

We show that the highly frustrated transverse-field Ising model on the three-dimensional pyrochlore lattice realizes a first-order phase transition without symmetry breaking between the low-field Coulomb quantum spin liquid and the…

Strongly Correlated Electrons · Physics 2016-11-23 J. Roechner , L. Balents , K. P. Schmidt

We propose a scheme for constructing versatile quantum simulators using ultracold Rydberg atoms in long-lived circular and elliptical states. By exciting different subspaces of internal atomic states, the atoms can be used to simulate two…

Quantum Physics · Physics 2025-03-31 Jacek Dobrzyniecki , Paula Heim , Michał Tomza

Using the density-matrix renormalization group method for the ground state and excitations of the Shastry- Sutherland spin model, we demonstrate the existence of a narrow quantum spin liquid phase between the previously known…

Strongly Correlated Electrons · Physics 2022-03-01 Jianwei Yang , Anders W. Sandvik , Ling Wang

The search for quantum spin liquids (QSL) -- topological magnets with fractionalized excitations -- has been a central theme in condensed matter and materials physics. While theories are no longer in short supply, tracking down materials…

Strongly Correlated Electrons · Physics 2022-05-11 Anish Bhardwaj , Shu Zhang , Han Yan , Roderich Moessner , Andriy H. Nevidomskyy , Hitesh J. Changlani

The quantum simulation of gauge theories on synthetic quantum matter devices has gained a lot of traction in the last decade, making possible the observation of a range of exotic quantum many-body phenomena. In this work, we consider the…

We describe an experimental protocol for introducing spin-dependent lattice structure in a cold atomic fermi gas using lasers. It can be used to realize Hubbard models whose hopping parameters depend on spin and whose interaction strength…

Superconductivity · Physics 2016-08-31 W. Vincent Liu , Frank Wilczek , Peter Zoller

Gapless fracton quantum spin liquids are exotic phases of matter described by higher-rank U(1) gauge theories which host gapped and immobile fracton matter excitations as well as gapless photons. Despite well-known field theories, no spin…

Strongly Correlated Electrons · Physics 2025-08-12 Nils Niggemann , Meghadeepa Adhikary , Yannik Schaden-Thillmann , Johannes Reuther

A theory of Rydberg atom interactions is used to derive analytical forms for the spin wave pair correlation function in laser-excited cold-atom vapors. This function controls the quantum statistics of light emission from dense,…

Quantum Physics · Physics 2012-10-09 F. Bariani , Paul M. Goldbart , T. A. B. Kennedy

Recently, a new class of three-dimensional spin liquid models have been theoretically discovered, which feature generalized Coulomb phases of emergent symmetric tensor $U(1)$ gauge theories. These "higher rank" tensor models are…

Strongly Correlated Electrons · Physics 2018-10-29 Abhinav Prem , Sagar Vijay , Yang-Zhi Chou , Michael Pretko , Rahul M. Nandkishore

The recent experimental detection of the onset of a dynamically prepared, gapped $Z_2$ quantum spin liquid on the ruby lattice brought the physics of frustrated magnetism and lattice gauge theory to Rydberg tweezer arrays (Semeghini et al,…

Strongly Correlated Electrons · Physics 2024-06-12 Zhenjiu Wang , Lode Pollet

Quantum spin liquids (QSLs) are exotic phases with intrinsic massive entanglements. Instead of microscopic spins, fractionalized particles and gauge fluctuations are emergent, revealing QSLs' exotic natures. Quantum spins with strong…

Strongly Correlated Electrons · Physics 2019-01-16 Sangjin Lee , Eun-Gook Moon

Spin liquids are quantum phases of matter that exhibit a variety of novel features associated with their topological character. These include various forms of fractionalization - elementary excitations that behave as fractions of an…

Strongly Correlated Electrons · Physics 2020-01-20 C. Broholm , R. J. Cava , S. A. Kivelson , D. G. Nocera , M. R. Norman , T. Senthil

As shown in recent experiments [V. Lienhard et al., Phys. Rev. X 10, 021031 (2020)], spin-orbit coupling in systems of Rydberg atoms can give rise to density-dependent Peierls Phases in second-order hoppings of Rydberg spin excitations and…

The low-energy physics of quantum spin ice is known to support an emergent form of quantum electrodynamics (QED), where magnetic monopoles exist and the fine structure constant is material dependent. In this article, we show how this QED is…

Strongly Correlated Electrons · Physics 2025-10-27 Rajah P. Nutakki , Sylvain Capponi , Ludovic D. C. Jaubert , Lode Pollet

Quantum spin liquids are exotic Mott insulators that carry extraordinary spin excitations and thus, when doped, expected to afford novel metallic states coupled to the unconventional magnetic excitations. The organic triangular-lattice…

Strongly Correlated Electrons · Physics 2025-01-07 H. Oike , Y. Suzuki , H. Taniguchi , K. Miyagawa , K. Kanoda

We present the design of a ring exchange interaction in cold atomic gases subjected to an optical lattice using well understood tools for manipulating and controlling such gases. The strength of this interaction can be tuned independently…

Strongly Correlated Electrons · Physics 2007-05-23 H. P. Büchler , M. Hermele , S. D. Huber , Matthew P. A. Fisher , P. Zoller
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