4.8 Article

Triangular lattice quantum dimer model with variable dimer density

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Materials Science, Multidisciplinary

Quantum dynamics of topological strings in a frustrated Ising antiferromagnet

Zheng Zhou et al.

Summary: We investigate the quantum dynamics of the antiferromagnetic transverse field Ising model on the triangular lattice and identify excitations related to topological quantum strings. Our study provides characteristic features for the experimental search for string-related excitations and proposes a theoretical method to pinpoint topological excitations in the experimental spectra.

NPJ QUANTUM MATERIALS (2022)

Article Materials Science, Multidisciplinary

Height-conserving quantum dimer models

Zheng Yan et al.

Summary: The study introduces a height-conserving quantum dimer model and obtains the ground-state phase diagram through quantum Monte Carlo simulations, demonstrating fragmentation in certain Krylov subspaces and potential glassy phenomena.

PHYSICAL REVIEW B (2022)

Article Materials Science, Multidisciplinary

Global scheme of sweeping cluster algorithm to sample among topological sectors

Zheng Yan

Summary: Local constraints are closely related to gauge fields, making constrained models effective low energy descriptions and important in condensed matter physics. However, local constraints hinder the application of numerical algorithms, and the inability to connect various topological sectors through local operators is a key computational difficulty. A global scheme based on a sweeping cluster Monte Carlo method is proposed in this paper to address these issues, with potential for generalization to other models.

PHYSICAL REVIEW B (2022)

Article Multidisciplinary Sciences

Quantum phases of Rydberg atoms on a kagome lattice

Rhine Samajdar et al.

Summary: Density-matrix renormalization group calculations show a wide variety of complex solid phases and a region with dense Rydberg excitations, large entanglement entropy, and no local order parameter on the kagome lattice of neutral atoms at zero temperature. The regime could contain one or more phases with topological order, as suggested by mapping to the triangular lattice quantum dimer model and theories of quantum phase transitions. These results lay the foundation for theoretical and experimental explorations of crystalline and liquid states using programmable quantum simulators based on Rydberg atom arrays.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2021)

Article Multidisciplinary Sciences

Probing topological spin liquids on a programmable quantum simulator

G. Semeghini et al.

Summary: Researchers utilized a programmable quantum simulator made up of 219 atoms to investigate quantum spin liquid states, creating frustrated quantum states without local order through array placement and evolution, and detecting the onset of a quantum spin liquid phase using topological string operators.

SCIENCE (2021)

Article Multidisciplinary Sciences

Realizing topologically ordered states on a quantum processor

K. J. Satzinger et al.

Summary: The discovery of topological order revolutionized the understanding of quantum matter and laid the theoretical groundwork for quantum error-correcting codes. By preparing the ground state of the toric code Hamiltonian on a superconducting quantum processor, researchers were able to measure topological entanglement entropy and simulate anyon interferometry. Investigating aspects of the surface code, including logical state injection and the decay of nonlocal order parameter, showed the potential of quantum processors in studying topological quantum matter and error correction mechanisms.

SCIENCE (2021)

Article Materials Science, Multidisciplinary

Topological phase transition and single/multi anyon dynamics of Z2 spin liquid

Zheng Yan et al.

Summary: The study focused on the excitation spectra of quantum dimer models on a triangular lattice, revealing the transitions of single vison excitations and the emergence of important symmetries during the QSL-VBS transition. Utilizing the sweeping cluster quantum Monte Carlo algorithm, a new method for understanding the static and dynamic properties of QDMs was developed.

NPJ QUANTUM MATERIALS (2021)

Article Physics, Multidisciplinary

Amplitude Mode in Quantum Magnets via Dimensional Crossover

Chengkang Zhou et al.

Summary: The study focuses on the amplitude (Higgs) mode associated with longitudinal fluctuations of the order parameter at the continuous spontaneous symmetry breaking phase transition. By using quantum Monte Carlo simulations, stochastic analytic continuation, and a chain-mean field approach combined with a mapping to the field-theoretic sine-Gordon model, the amplitude mode is successfully observed in a weakly coupled spin chain system in a quasi-one-dimensional geometry. The study also compares the amplitude mode in different dimensions and finds that in contrast to higher-dimensional systems, the amplitude and bond order fluctuations carry significant spectral weight in the quasi-1D limit.

PHYSICAL REVIEW LETTERS (2021)

Article Multidisciplinary Sciences

Fractionalized conductivity and emergent self-duality near topological phase transitions

Yan-Cheng Wang et al.

Summary: The experimental discovery of Anyons in two-dimensional electron gases has opened up new possibilities for studying quantum particles beyond bosons and fermions. Large-scale quantum Monte Carlo simulations have revealed unique conductivity properties near a phase transition, with implications for quantum materials research.

NATURE COMMUNICATIONS (2021)

Article Materials Science, Multidisciplinary

Widely existing mixed phase structure of the quantum dimer model on a square lattice

Zheng Yan et al.

Summary: The quantum dimer model is a low-energy effective model for many magnetic systems that are candidates for quantum spin liquids, described by gauge field theory with local constraints. The controversy surrounding the phase diagrams of quantum dimer models, particularly on a square lattice, stems from whether the mixed state exists due to these constraints. This paper provides strong evidence, obtained through a sweeping cluster quantum Monte Carlo method, to show that the ground state belongs to the mixed phase in a vast parameter region.

PHYSICAL REVIEW B (2021)

Article Materials Science, Multidisciplinary

Vestigial anyon condensation in kagome quantum spin liquids

Yan-Cheng Wang et al.

Summary: The study presents a lattice model of topological order (kagome quantum spin liquids) and solves it using unbiased quantum Monte Carlo simulations, revealing a three-stage anyon condensation process with phase transitions between different topological orders in quantum magnets. The designed quantum spin liquid model and its numerical solution offer a foundation for further investigations on vestigial anyon condensation.

PHYSICAL REVIEW B (2021)

Article Multidisciplinary Sciences

Kosterlitz-Thouless melting of magnetic order in the triangular quantum Ising material TmMgGaO4

Han Li et al.

NATURE COMMUNICATIONS (2020)

Article Physics, Multidisciplinary

Absolute anomalies in (2+1)D symmetry-enriched topological states and exact (3+1)D constructions

Daniel Bulmash et al.

PHYSICAL REVIEW RESEARCH (2020)

Article Multidisciplinary Sciences

Evidence of the Berezinskii-Kosterlitz-Thouless phase in a frustrated magnet

Ze Hu et al.

NATURE COMMUNICATIONS (2020)

Article Materials Science, Multidisciplinary

Sweeping cluster algorithm for quantum spin systems with strong geometric restrictions

Zheng Yan et al.

PHYSICAL REVIEW B (2019)

Article Physics, Multidisciplinary

Dynamics of Topological Excitations in a Model Quantum Spin Ice

Chun-Jiong Huang et al.

PHYSICAL REVIEW LETTERS (2018)

Article Physics, Multidisciplinary

Quantum Spin Liquid with Even Ising Gauge Field Structure on Kagome Lattice

Yan-Cheng Wang et al.

PHYSICAL REVIEW LETTERS (2018)

Article Physics, Multidisciplinary

Dynamical Signature of Symmetry Fractionalization in Frustrated Magnets

Guang-Yu Sun et al.

PHYSICAL REVIEW LETTERS (2018)

Article Materials Science, Multidisciplinary

Dynamical signature of fractionalization at a deconfined quantum critical point

Nvsen Ma et al.

PHYSICAL REVIEW B (2018)

Article Materials Science, Multidisciplinary

Classification of symmetry fractionalization in gapped Z2 spin liquids

Yang Qi et al.

PHYSICAL REVIEW B (2018)

Article Multidisciplinary Sciences

Probing many-body dynamics on a 51-atom quantum simulator

Hannes Bernien et al.

NATURE (2017)

Article Physics, Fluids & Plasmas

Constrained sampling method for analytic continuation

Anders W. Sandvik

PHYSICAL REVIEW E (2016)

Article Materials Science, Multidisciplinary

Z2 topological liquid of hard-core bosons on a kagome lattice at 1/3 filling

Krishanu Roychowdhury et al.

PHYSICAL REVIEW B (2015)

Article Materials Science, Multidisciplinary

Magnetization plateaus of an easy-axis kagome antiferromagnet with extended interactions

X. Plat et al.

PHYSICAL REVIEW B (2015)

Article Physics, Multidisciplinary

Constraints on Topological Order in Mott Insulators

Michael P. Zaletel et al.

PHYSICAL REVIEW LETTERS (2015)

Article Materials Science, Multidisciplinary

Spectroscopic signatures of crystal momentum fractionalization

Andrew M. Essin et al.

PHYSICAL REVIEW B (2014)

Article Materials Science, Multidisciplinary

Ising nematic fluid phase of hard-core dimers on the square lattice

Stefanos Papanikolaou et al.

PHYSICAL REVIEW B (2014)

Article Materials Science, Multidisciplinary

Classifying fractionalization: Symmetry classification of gapped Z2 spin liquids in two dimensions

Andrew M. Essin et al.

PHYSICAL REVIEW B (2013)

Article Materials Science, Multidisciplinary

Using the average spectrum method to extract dynamics from quantum Monte Carlo simulations

Olav F. Syljuasen

PHYSICAL REVIEW B (2008)

Article Physics, Multidisciplinary

Generic mixed columnar-plaquette phases in Rokhsar-Kivelson models

A. Ralko et al.

PHYSICAL REVIEW LETTERS (2008)

Article Materials Science, Multidisciplinary

Crystallization of the resonating valence bond liquid as vortex condensation

Arnaud Ralko et al.

PHYSICAL REVIEW B (2007)

Article Materials Science, Multidisciplinary

Zero-temperature properties of the quantum dimer model on the triangular lattice

A Ralko et al.

PHYSICAL REVIEW B (2005)

Article Materials Science, Multidisciplinary

Competing density-wave orders in a one-dimensional hard-boson model

P Fendley et al.

PHYSICAL REVIEW B (2004)

Article Materials Science, Multidisciplinary

Vortexlike elementary excitations in the Rokhsar-Kivelson dimer model on the triangular lattice

DA Ivanov

PHYSICAL REVIEW B (2004)

Article Physics, Multidisciplinary

Fault-tolerant quantum computation by anyons

AY Kitaev

ANNALS OF PHYSICS (2003)

Article Materials Science, Multidisciplinary

Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories

R Moessner et al.

PHYSICAL REVIEW B (2002)

Article Materials Science, Multidisciplinary

Ising models of quantum frustration

R Moessner et al.

PHYSICAL REVIEW B (2001)

Article Physics, Multidisciplinary

Resonating valence bond phase in the triangular lattice quantum dimer model

R Moessner et al.

PHYSICAL REVIEW LETTERS (2001)

Article Materials Science, Multidisciplinary

Z2 gauge theory of electron fractionalization in strongly correlated systems

T Senthil et al.

PHYSICAL REVIEW B (2000)