4.6 Article

Extraction of the many-body Chern number from a single wave function

Related references

Note: Only part of the references are listed.
Article Physics, Multidisciplinary

Many-Body Chern Number from Statistical Correlations of Randomized Measurements

Ze-Pei Cian et al.

Summary: The proposed experimental scheme in this study allows for the measurement of the many-body Chern number without the need for ancilla or knowledge of the Hamiltonian. By utilizing statistical correlations of randomized measurements, the MBCN of a wave function can be inferred, particularly in disklike geometries that are more suitable for current quantum simulator architectures.

PHYSICAL REVIEW LETTERS (2021)

Review Physics, Multidisciplinary

Many-body physics with individually controlled Rydberg atoms

Antoine Browaeys et al.

NATURE PHYSICS (2020)

Article Multidisciplinary Sciences

Many-body topological invariants from randomized measurements in synthetic quantum matter

Andreas Elben et al.

SCIENCE ADVANCES (2020)

Article Physics, Multidisciplinary

Quantum origami: Transversal gates for quantum computation and measurement of topological order

Guanyu Zhu et al.

PHYSICAL REVIEW RESEARCH (2020)

Review Physics, Multidisciplinary

Topological photonics

Tomoki Ozawa et al.

REVIEWS OF MODERN PHYSICS (2019)

Review Physics, Multidisciplinary

Topological bands for ultracold atoms

N. R. Cooper et al.

REVIEWS OF MODERN PHYSICS (2019)

Article Physics, Multidisciplinary

Detecting Fractional Chern Insulators through Circular Dichroism

C. Repellin et al.

PHYSICAL REVIEW LETTERS (2019)

Article Physics, Multidisciplinary

Many-Body Chern Number without Integration

Koji Kudo et al.

PHYSICAL REVIEW LETTERS (2019)

Article Materials Science, Multidisciplinary

Symmetry fractionalization, defects, and gauging of topological phases

Maissam Barkeshli et al.

PHYSICAL REVIEW B (2019)

Article Physics, Multidisciplinary

Topological Exciton Fermi Surfaces in Two-Component Fractional Quantized Hall Insulators

Maissam Barkeshli et al.

PHYSICAL REVIEW LETTERS (2018)

Article Physics, Multidisciplinary

Chiral ground-state currents of interacting photons in a synthetic magnetic field

P. Roushan et al.

NATURE PHYSICS (2017)

Article Materials Science, Multidisciplinary

Realizing and adiabatically preparing bosonic integer and fractional quantum Hall states in optical lattices

Yin-Chen He et al.

PHYSICAL REVIEW B (2017)

Article Multidisciplinary Sciences

Interferometric measurements of many-body topological invariants using mobile impurities

F. Grusdt et al.

NATURE COMMUNICATIONS (2016)

Article Physics, Multidisciplinary

Measurement Protocol for the Entanglement Spectrum of Cold Atoms

Hannes Pichler et al.

PHYSICAL REVIEW X (2016)

Review Physics, Condensed Matter

Symmetry-Protected Topological Phases of Quantum Matter

T. Senthil

ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 6 (2015)

Article Physics, Mathematical

Quantization of Hall Conductance for Interacting Electrons on a Torus

Matthew B. Hastings et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2015)

Review Physics, Condensed Matter

Exciton Condensation in Bilayer Quantum Hall Systems

J. P. Eisenstein

ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 5 (2014)

Article Physics, Multidisciplinary

Coherent state wave functions on a torus with a constant magnetic field

M. Fremling

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2013)

Article Materials Science, Multidisciplinary

Oscillating terms in the Renyi entropy of Fermi gases and liquids

Brian Swingle et al.

PHYSICAL REVIEW B (2013)

Article Physics, Multidisciplinary

Characterizing Topological Order by Studying the Ground States on an Infinite Cylinder

L. Cincio et al.

PHYSICAL REVIEW LETTERS (2013)

Article Physics, Multidisciplinary

On-chip quantum simulation with superconducting circuits

Andrew A. Houck et al.

NATURE PHYSICS (2012)

Article Materials Science, Multidisciplinary

Detection of symmetry-protected topological phases in one dimension

Frank Pollmann et al.

PHYSICAL REVIEW B (2012)

Article Physics, Multidisciplinary

Order Parameter for Symmetry-Protected Phases in One Dimension

Jutho Haegeman et al.

PHYSICAL REVIEW LETTERS (2012)

Article Physics, Mathematical

Almost commuting matrices, localized Wannier functions, and the quantum Hall effect

Matthew B. Hastings et al.

JOURNAL OF MATHEMATICAL PHYSICS (2010)

Article Physics, Multidisciplinary

Exact Parent Hamiltonian for the Quantum Hall States in a Lattice

Eliot Kapit et al.

PHYSICAL REVIEW LETTERS (2010)

Article Physics, Multidisciplinary

Parity Effects in the Scaling of Block Entanglement in Gapless Spin Chains

Pasquale Calabrese et al.

PHYSICAL REVIEW LETTERS (2010)

Review Physics, Multidisciplinary

Non-Abelian anyons and topological quantum computation

Chetan Nayak et al.

REVIEWS OF MODERN PHYSICS (2008)

Article Optics

Fractional quantum Hall effect in optical lattices

M. Hafezi et al.

PHYSICAL REVIEW A (2007)

Article Physics, Multidisciplinary

Anyons in an exactly solved model and beyond

A Kitaev

ANNALS OF PHYSICS (2006)

Article Physics, Multidisciplinary

Characterization of topological insulators: Chern numbers for ground state multiplet

Y Hatsugai

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN (2005)

Article Materials Science, Multidisciplinary

Lattice twist operators and vertex operators in sine-Gordon theory in one dimension

M Nakamura et al.

PHYSICAL REVIEW B (2002)