Probing ℤ₂ quantum spin liquids using quantum simulators

By means of quantum Monte Carlo simulations, combined with a stochastic analytic continuation, we examine the spin dynamics of the spin-1/2 planar ( $XY$ ) ferromagnet on the kagome lattice with additional four-site ring exchange terms. Such exchange processes were previously considered to lead into an extended ${Z}_{2}$ quantum spin liquid phase beyond a quantum critical point from the $XY$ ferromagnet. We examine the dynamical spin structure factor in the nonmagnetic regime and probe for signatures of spin fractionalization. Furthermore, we contrast our findings and the corresponding energy scales of the excitation gaps in the ring exchange model to those emerging in a related Balents-Fisher-Girvin model with a ${Z}_{2}$ quantum spin liquid phase, and monitor the softening of the magnon mode upon approaching the quantum critical point from the $XY$ -ferromagnetic regime.By means of quantum Monte Carlo simulations, combined with a stochastic analytic continuation, we examine the spin dynamics of the spin-1/2 planar ($XY$) ferromagnet on the kagome lattice with additional four-site ring exchange terms. Such exchange processes were previously considered to lead into an extended ${Z}_{2}$ quantum spin liquid phase beyond a quantum critical point from the $XY$ ferromagnet. We examine the dynamical spin structure factor in the nonmagnetic regime and probe for signatures of spin fractionalization. Furthermore, we contrast our findings and the corresponding energy scales of the excitation gaps in the ring exchange model to those emerging in a related Balents-Fisher-Girvin model with a ${Z}_{2}$ quantum spin liquid phase, and monitor the softening of the magnon mode upon approaching the quantum critical point from the $XY$-ferromagnetic regime.

arXiv:1909.04877Physical review. B./Physical review. BDec 19, 20193 citations

Quantum Spin Liquids: An Experimental Overview

P. Mendels

Jun 10, 20250 citations

Introduction to Quantum Spin Liquids

C. Lhuillier, Grégoire Misguich

Springer series in solid-state sciencesSep 29, 201011 citations

Fermionic parton theory of Rydberg ${{\mathbb{Z}}}_{2}$ quantum spin liquidsFermionic parton theory of Rydberg $${{\mathbb{Z}}}_{2}$$ quantum spin liquids

Atanu Maity, Yasir Iqbal, Rhine Samajdar

Abstract Programmable quantum simulators based on neutral atom arrays today offer powerful platforms for studying strongly correlated phases of quantum matter. Here, we employ the projective symmetry group framework to describe the symmetry fractionalization patterns in a topologically ordered ${{\mathbb{Z}}}_{2}$ Z 2 quantum spin liquid (QSL) synthesized in such a Rydberg array on the ruby lattice. By systematically comparing the static structure factors of all possible mean-field Ansätze against density-matrix renormalization group calculations, we identify a promising candidate for the precise ${{\mathbb{Z}}}_{2}$ Z 2 QSL realized microscopically. We also present detailed analyses of the dynamical structure factors as a reference for future experiments and showcase how these spin correlations can differentiate between varied QSL Ansätze .Abstract Programmable quantum simulators based on neutral atom arrays today offer powerful platforms for studying strongly correlated phases of quantum matter. Here, we employ the projective symmetry group framework to describe the symmetry fractionalization patterns in a topologically ordered $${{\mathbb{Z}}}_{2}$$ Z 2 quantum spin liquid (QSL) synthesized in such a Rydberg array on the ruby lattice. By systematically comparing the static structure factors of all possible mean-field Ansätze against density-matrix renormalization group calculations, we identify a promising candidate for the precise $${{\mathbb{Z}}}_{2}$$ Z 2 QSL realized microscopically. We also present detailed analyses of the dynamical structure factors as a reference for future experiments and showcase how these spin correlations can differentiate between varied QSL Ansätze .

arXiv:2409.17219Nature CommunicationsJul 13, 20260 citations

Vestigial anyon condensation in kagome quantum spin liquids

Yan-Cheng Wang, Zheng Yan, Chenjie Wang +2 more

We construct a lattice model of topological order (kagome quantum spin liquids) and solve it with unbiased quantum Monte Carlo simulations. A three-stage anyon condensation with two transitions from a ${\mathbb{Z}}_{2}\ensuremath{\boxtimes}{\mathbb{Z}}_{2}$ topological order to a ${\mathbb{Z}}_{2}$ topological order and eventually to a trivial symmetric phase is revealed. These results provide concrete examples of phase transitions between topological orders in quantum magnets. The designed quantum spin liquid model and its numerical solution offer a playground for further investigations on vestigial anyon condensation.We construct a lattice model of topological order (kagome quantum spin liquids) and solve it with unbiased quantum Monte Carlo simulations. A three-stage anyon condensation with two transitions from a ${\mathbb{Z}}_{2}\ensuremath{\boxtimes}{\mathbb{Z}}_{2}$ topological order to a ${\mathbb{Z}}_{2}$ topological order and eventually to a trivial symmetric phase is revealed. These results provide concrete examples of phase transitions between topological orders in quantum magnets. The designed quantum spin liquid model and its numerical solution offer a playground for further investigations on vestigial anyon condensation.

arXiv:2009.00070Physical review. B./Physical review. BJan 6, 202121 citations

An introduction to Quantum Spin Liquids

Subhro Bhattacharjee

Texts and readings in physical sciencesJan 1, 20172 citations

By means of quantum Monte Carlo simulations, combined with a stochastic analytic continuation, we examine the spin dynamics of the spin-1/2 planar (

XY

) ferromagnet on the kagome lattice with additional four-site ring exchange terms. Such exchange processes were previously considered to lead into an extended

{Z}_{2}

quantum spin liquid phase beyond a quantum critical point from the

XY

ferromagnet. We examine the dynamical spin structure factor in the nonmagnetic regime and probe for signatures of spin fractionalization. Furthermore, we contrast our findings and the corresponding energy scales of the excitation gaps in the ring exchange model to those emerging in a related Balents-Fisher-Girvin model with a

{Z}_{2}

quantum spin liquid phase, and monitor the softening of the magnon mode upon approaching the quantum critical point from the

XY

-ferromagnetic regime.

Fermionic parton theory of Rydberg

{{\mathbb{Z}}}_{2}

quantum spin liquids

{{\mathbb{Z}}}_{2}

Z 2 quantum spin liquid (QSL) synthesized in such a Rydberg array on the ruby lattice. By systematically comparing the static structure factors of all possible mean-field Ansätze against density-matrix renormalization group calculations, we identify a promising candidate for the precise

{{\mathbb{Z}}}_{2}

Z 2 QSL realized microscopically. We also present detailed analyses of the dynamical structure factors as a reference for future experiments and showcase how these spin correlations can differentiate between varied QSL Ansätze .

{\mathbb{Z}}_{2}

topological order and eventually to a trivial symmetric phase is revealed. These results provide concrete examples of phase transitions between topological orders in quantum magnets. The designed quantum spin liquid model and its numerical solution offer a playground for further investigations on vestigial anyon condensation.