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Projected-BCS wave functions have been proposed as the paradigm for the understanding of disordered spin states (spin liquids). Here we investigate the properties of these wave functions showing how Luttinger liquids, dimerized states, and…

Strongly Correlated Electrons · Physics 2007-05-23 Alberto Parola , Sandro Sorella , Federico Becca , Luca Capriotti

The main objective of quantum simulation is an in-depth understanding of many-body physics. It is important for fundamental issues (quantum phase transitions, transport, . . . ) and for the development of innovative materials. Analytic…

Rydberg atoms are remarkable tools for the quantum simulation of spin arrays. Circular Rydberg atoms open the way to simulations over very long time scales, using a combination of laser trapping of the atoms and spontaneous-emission…

We theoretically analyze recent experiments [G. Semeghini et al., Science 374, 1242 (2021)] demonstrating the onset of a topological spin liquid using a programmable quantum simulator based on Rydberg atom arrays. In the experiment, robust…

Quantum Physics · Physics 2022-09-15 Giuliano Giudici , Mikhail D. Lukin , Hannes Pichler

We show that the interaction between Rydberg atomic states can provide continuous spin squeezing of atoms with two ground states. The interaction prevents the simultaneous excitation of more than a single atom in the sample to the Rydberg…

Quantum Physics · Physics 2007-05-23 Isabelle Bouchoule , Klaus Moelmer

Rydberg spin waves are optically excited in a quasi-one-dimensional atomic sample of Rb atoms. Pair-wise spin-wave correlations are observed by a spatially selective transfer of the quantum state onto a light field and photoelectric…

Atomic Physics · Physics 2015-06-05 Y. O. Dudin , F. Bariani , A. Kuzmich

Simulating quantum dynamics of lattice gauge theories (LGTs) is an exciting frontier in quantum science. Programmable quantum simulators based on neutral atom arrays are a promising approach to achieve this goal, since strong Rydberg…

Quantum Physics · Physics 2024-08-07 Johannes Feldmeier , Nishad Maskara , Nazlı Uğur Köylüoğlu , Mikhail D. Lukin

We develop and study quantum and semi-classical models of Rydberg-atom spectroscopy in amplitude-modulated optical lattices. Both initial- and target-state Rydberg atoms are trapped in the lattice. Unlike in any other spectroscopic scheme,…

Quantum Physics · Physics 2020-04-01 V. S. Malinovsky , K. R. Moore , G. Raithel

Solving strongly coupled gauge theories in two or three spatial dimensions is of fundamental importance in several areas of physics ranging from high-energy physics to condensed matter. On a lattice, gauge invariance and gauge invariant…

Quantum Physics · Physics 2020-07-01 A. Celi , B. Vermersch , O. Viyuela , H. Pichler , M. D. Lukin , P. Zoller

A quantum spin liquid hosts massive quantum entanglement whose identification is one of the most significant problems in physics. Yet, its detection is known to be notoriously difficult because of featureless properties without a symmetry…

Strongly Correlated Electrons · Physics 2024-12-17 Minsu Park , Masafumi Udagawa , Eun-Gook Moon

The linear Faraday effect is used to implement a continuous measurement of the spin of a sample of laser cooled atoms trapped in an optical lattice. One of the optical lattice beams serves also as a probe beam, thereby allowing one to…

Quantum Physics · Physics 2009-11-10 Greg Smith , Souma Chaudhury , Poul S. Jessen

The experiments performed with neutral atoms trapped in optical tweezers and coherently coupled to the Rydberg state allow quantum simulations of paradigmatic Hamiltonians for quantum magnetism. Previous studies have focused mainly on…

Disordered Systems and Neural Networks · Physics 2025-11-21 L. Brodoloni , J. Vovrosh , S. Julià-Farré , A. Dauphin , S. Pilati

On the triangular and kagome lattices, short-ranged resonating valence bond (RVB) wave functions can be sampled without the sign problem using a recently-developed Pfaffian Monte Carlo scheme. In this paper, we study the Renyi entanglement…

Strongly Correlated Electrons · Physics 2017-03-15 Julia Wildeboer , Alexander Seidel , Roger G. Melko

There is growing evidence from both experiment and numerical studies that low half-odd integer quantum spins on a kagome lattice with predominant antiferromagnetic near neighbor interactions do not order magnetically or break lattice…

Strongly Correlated Electrons · Physics 2009-11-13 S. Ryu , O. I. Motrunich , J. Alicea , Matthew P. A. Fisher

The physical realization of $\mathbb Z_2$ topological order as encountered in the paradigmatic toric code has proven to be an elusive goal. We predict that this phase of matter can be realized in a two-dimensional array of Rydberg atoms…

Strongly Correlated Electrons · Physics 2021-08-31 Ruben Verresen , Mikhail D. Lukin , Ashvin Vishwanath

Spin-liquids -- an emergent, exotic collective phase of matter -- have garnered enormous attention in recent years. While experimentally, many prospective candidates have been proposed and realized, theoretically modeling real materials…

Strongly Correlated Electrons · Physics 2023-08-15 Manas Sajjan , Rishabh Gupta , Sumit Suresh Kale , Vinit Singh , Keerthi Kumaran , Sabre Kais

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

Quantum spin liquids are fascinating phases of matter, hosting fractionalized spin excitations and unconventional long-range quantum entanglement. These exotic properties, however, also render their experimental characterization…

Strongly Correlated Electrons · Physics 2022-09-20 Wilhelm Kadow , Laurens Vanderstraeten , Michael Knap

Quantum spin liquids are elusive long-range entangled states. Motivated by experiments in Rydberg quantum simulators, recent excitement has centered on the possibility of dynamically preparing a state with quantum spin liquid correlation…

Quantum Physics · Physics 2025-12-11 DinhDuy Vu , Dominik S. Kufel , Jack Kemp , Lode Pollet , Chris R. Laumann , Norman Y. Yao

Individually trapped Rydberg atoms show significant promise as a platform for scalable quantum simulation and for development of programmable quantum computers. In particular, the Rydberg blockade effect can be used to facilitate both fast…

Quantum Physics · Physics 2023-10-02 Valerio Crescimanna , Jacob Taylor , Aaron Z. Goldberg , Khabat Heshami