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Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms

Journal of mathematical physics, 2019-06, Vol.60 (6)

2019

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Stability of gapped ground state phases of spins and fermions in one dimension

Journal of mathematical physics, 2018-09, Vol.59 (9)

2018

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On the Stability of Charges in Infinite Quantum Spin Systems

Communications in mathematical physics, 2020, Vol.373 (1), p.219-264

2020

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Spectral Gaps and Incompressibility in a ν = 1/3 Fractional Quantum Hall System

Communications in mathematical physics, 2021-04, Vol.383 (2), p.1093-1149

2021

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Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States

Annales Henri Poincaré, 2022-02, Vol.23 (2), p.393-511

2022

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Alignment and integration of complex networks by hypergraph-based spectral clustering

Physical review. E, Statistical, nonlinear, and soft matter physics, 2012-11, Vol.86 (5 Pt 2), p.056111-056111, Article 056111

2012

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Slow Propagation in Some Disordered Quantum Spin Chains

Journal of statistical physics, 2021, Vol.182 (1), Article 12

2021

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Dynamical Abelian anyons with bound states and scattering states

Journal of mathematical physics, 2023-07, Vol.64 (7)

2023

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The Complete Set of Infinite Volume Ground States for Kitaev’s Abelian Quantum Double Models

Communications in mathematical physics, 2018-01, Vol.357 (1), p.125-157

2018

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Dimerization in Quantum Spin Chains with O(n) Symmetry

Communications in mathematical physics, 2021, Vol.387 (2), p.1151-1189

2021

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A direct proof of dimerization in a family of SU(n)-invariant quantum spin chains

Letters in mathematical physics, 2017-09, Vol.107 (9), p.1629-1647

2017

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Editorial: In honor of Oscar E. Lanford III

Journal of mathematical physics, 2017-08, Vol.58 (8)

2017

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Lieb–Robinson Bounds and Strongly Continuous Dynamics for a Class of Many-Body Fermion Systems in Rd

Annales Henri Poincaré, 2020, Vol.21 (11), p.3609-3637

2020

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Lieb-robinson bounds and the exponential clustering theorem

Communications in mathematical physics, 2006-07, Vol.265 (1), p.119-130

2006

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Retraction: “Existence of vortices in nonlinear optics” [J. Math. Phys. 59, 101509 (2018)]

Journal of mathematical physics, 2018-12, Vol.59 (12)

Nachtergaele, Bruno

2018

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Goodbye and welcome

Journal of mathematical physics, 2018-12, Vol.59 (12)

Nachtergaele, Bruno

2018

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Editor’s Note: Spontaneous SU2(C) symmetry breaking in the ground states of quantum spin chain [J. Math. Phys. 59, 111701 (2018)]

Journal of mathematical physics, 2018-11, Vol.59 (11)

Nachtergaele, Bruno

2018

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Gapped PVBS models for all species numbers and dimensions

Reviews in mathematical physics, 2019-10, Vol.31 (9), p.1950028

2019

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Low-complexity eigenstates of a ν = 1/3 fractional quantum Hall system

Journal of physics. A, Mathematical and theoretical, 2021-01, Vol.54 (1), p.1

2021

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Product Vacua with Boundary States and the Classification of Gapped Phases

Communications in mathematical physics, 2014-07, Vol.329 (2), p.509-544

2014

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Non-Equilibrium States of a Photon Cavity Pumped by an Atomic Beam

Annales Henri Poincaré, 2014-02, Vol.15 (2), p.213-262

2014

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Introduction to Special Issue: Journal of Mathematical Physics turns 50

Journal of mathematical physics, 2010-01, Vol.51 (1), p.015101-015101-3

Nachtergaele, Bruno L. Z.

2010

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On Gapped Phases with a Continuous Symmetry and Boundary Operators

Journal of statistical physics, 2014, Vol.154 (1-2), p.91-112

2014

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Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems

Communications in mathematical physics, 2012-02, Vol.309 (3), p.835-871

2012

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A multi-dimensional lieb-schultz-mattis theorem

Communications in mathematical physics, 2007-12, Vol.276 (2), p.437-472

2007

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Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms

Stability of gapped ground state phases of spins and fermions in one dimension

On the Stability of Charges in Infinite Quantum Spin Systems

Spectral Gaps and Incompressibility in a ν = 1/3 Fractional Quantum Hall System

Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States

Alignment and integration of complex networks by hypergraph-based spectral clustering

Slow Propagation in Some Disordered Quantum Spin Chains

Dynamical Abelian anyons with bound states and scattering states

The Complete Set of Infinite Volume Ground States for Kitaev’s Abelian Quantum Double Models

Dimerization in Quantum Spin Chains with O(n) Symmetry

A direct proof of dimerization in a family of SU(n)-invariant quantum spin chains

Editorial: In honor of Oscar E. Lanford III

Lieb–Robinson Bounds and Strongly Continuous Dynamics for a Class of Many-Body Fermion Systems in Rd

Lieb-robinson bounds and the exponential clustering theorem

Retraction: “Existence of vortices in nonlinear optics” [J. Math. Phys. 59, 101509 (2018)]

Goodbye and welcome

Editor’s Note: Spontaneous SU2(C) symmetry breaking in the ground states of quantum spin chain [J. Math. Phys. 59, 111701 (2018)]

Gapped PVBS models for all species numbers and dimensions

Low-complexity eigenstates of a ν = 1/3 fractional quantum Hall system

Product Vacua with Boundary States and the Classification of Gapped Phases

Non-Equilibrium States of a Photon Cavity Pumped by an Atomic Beam

Introduction to Special Issue: Journal of Mathematical Physics turns 50

On Gapped Phases with a Continuous Symmetry and Boundary Operators

Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems

A multi-dimensional lieb-schultz-mattis theorem

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