Publications (19) Publications de ANGELO LUCIA

2024

  1. Entropy Decay for Davies Semigroups of a One Dimensional Quantum Lattice

    Communications in Mathematical Physics, Vol. 405, Núm. 2

  2. Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model

    Annales Henri Poincare, Vol. 25, Núm. 8, pp. 3603-3648

2023

  1. A nonvanishing spectral gap for AKLT models on generalized decorated graphs

    Journal of Mathematical Physics, Vol. 64, Núm. 4

  2. Rapid Thermalization of Spin Chain Commuting Hamiltonians

    Physical Review Letters, Vol. 130, Núm. 6

  3. Thermalization in Kitaev's quantum double models via tensor network techniques

    Forum of Mathematics, Sigma, Vol. 11

2021

  1. On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems

    Journal of Mathematical Physics, Vol. 62, Núm. 6

2020

  1. A class of two-dimensional AKLT models with a gap

    Contemporary Mathematics

  2. Deformations of the boundary theory of the square-lattice AKLT model

    Physical Review B, Vol. 102, Núm. 3

  3. Tensor network representations from the geometry of entangled states

    SciPost Physics, Vol. 9, Núm. 3

  4. Undecidability of the Spectral Gap in One Dimension

    Physical Review X, Vol. 10, Núm. 3

2019

  1. Locality at the Boundary Implies Gap in the Bulk for 2D PEPS

    Communications in Mathematical Physics, Vol. 366, Núm. 3, pp. 895-926

  2. Recursion Relations for Chromatic Coefficients for Graphs and Hypergraphs

    Discussiones Mathematicae - Graph Theory

2018

  1. Divide and conquer method for proving gaps of frustration free Hamiltonians

    Journal of Statistical Mechanics: Theory and Experiment, Vol. 2018, Núm. 3

  2. Quantum conditional relative entropy and quasi-factorization of the relative entropy

    Journal of Physics A: Mathematical and Theoretical, Vol. 51, Núm. 48

  3. Size-driven quantum phase transitions

    Proceedings of the National Academy of Sciences of the United States of America, Vol. 115, Núm. 1, pp. 19-23

  4. Superadditivity of Quantum Relative Entropy for General States

    IEEE Transactions on Information Theory, Vol. 64, Núm. 7, pp. 4758-4765

2015

  1. Area law for fixed points of rapidly mixing dissipative quantum systems

    Journal of Mathematical Physics, Vol. 56, Núm. 10

  2. Rapid mixing and stability of quantum dissipative systems

    Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 91, Núm. 4

  3. Stability of Local Quantum Dissipative Systems

    Communications in Mathematical Physics, Vol. 337, Núm. 3, pp. 1275-1315