Angelo Lucia

Myself

Publication list

  1. July 2026 preprint

    2607.08686 Instability of the undecidable behavior of the spectral gap in 1D

    Laura Castilla-Castellano, Angelo Lucia.

  2. June 2026 preprint

    2606.13453 Rapid mixing for Gibbs measures in Riemannian manifolds

    Ángela Capel, Marco Castrillón-López, Sofyan Iblisdir, Angelo Lucia, Pablo Páez-Velasco, David Pérez-García.

  3. May 2026 preprint

    2605.19640 Modified logarithmic Sobolev inequalities for Abelian quantum double models

    Sebastian Stengele, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández, Cambyse Rouzé, Simone Warzel.

  4. January 2026

    2410.13589 Undecidability of the spectral gap in rotationally symmetric Hamiltonians

    Laura Castilla-Castellano, Angelo Lucia. In Phys. Rev. Research 8, 013033 (2026).

  5. October 2025 preprint

    2510.03090 Modified logarithmic Sobolev inequalities for CSS codes

    Sebastian Stengele, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández, Cambyse Rouzé, Simone Warzel.

  6. June 2025

    2409.09685 On the critical finite-size gap scaling for frustration-free Hamiltonians

    Marius Lemm, Angelo Lucia. In Reviews in Mathematical Physics, Vol. 37, No. 7 (2025) 2550015.

  7. May 2025 preprint

    2505.08991 Spectral Gap Bounds for Quantum Markov Semigroups via Correlation Decay

    Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández.

  8. December 2023

    2209.01141 Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model

    Angelo Lucia, Alvin Moon, Amanda Young. In Ann. Henri Poincaré (2023).

  9. November 2023

    2107.01628 Thermalization in Kitaev's quantum double models via Tensor Network techniques

    Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández. In Forum of Mathematics, Sigma , Volume 11 , 2023 , e107.

  10. April 2023

    2212.11872 A Nonvanishing Spectral Gap for AKLT Models on Generalized Decorated Graphs

    Angelo Lucia, Amanda Young. In J. Math. Phys. 64, 041902 (2023).

  11. January 2022

    2112.00593 Rapid thermalization of spin chain commuting Hamiltonians

    Ivan Bardet, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, Cambyse Rouzé. In Phys. Rev. Lett. 130, 060401 (2023).

  12. December 2021

    2112.00601 Entropy decay for Davies semigroups of a one dimensional quantum lattice

    Ivan Bardet, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, Cambyse Rouzé. In Commun. Math. Phys. 405, 42 (2024).

  13. June 2021

    1908.09004 On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems

    Ivan Bardet, Angela Capel, Angelo Lucia, David Pérez-García, Cambyse Rouzé. In Journal of Mathematical Physics 62 (6), 061901 (2021).

  14. September 2020

    1809.08185 Tensor network representations from the geometry of entangled states

    Matthias Christandl, Angelo Lucia, Péter Vrana, Albert H. Werner. In SciPost Phys. 9, 042 (2020).

  15. July 2020

    1912.10327 Deformations of the Boundary Theory of the Square Lattice AKLT Model

    John Martyn, Kohtaro Kato, Angelo Lucia. In Phys. Rev. B 102, 035121 (2020).

  16. June 2020

    1810.01858 Undecidability of the Spectral Gap in One Dimension

    Johannes Bausch, Toby Cubitt, Angelo Lucia, David Perez-Garcia. In Phys. Rev. X 10, 031038 (2020).

  17. June 2020

    1901.00899 Recursion relations for chromatic coefficients for graphs and hypergraphs

    Bergfinnur Durhuus, Angelo Lucia. In Discussiones Mathematicae Graph Theory 42(1) (2022) 101-121.

  18. May 2019

    1901.09297 A class of two-dimensional AKLT models with a gap

    Houssam Abdul-Rahman, Marius Lemm, Angelo Lucia, Bruno Nachtergaele, Amanda Young. In in Analytic Trends in Mathematical Physics, Houssam Abdul-Rahman, Robert Sims, Amanda Young (Eds), Contemporary Mathematics vol 741, pp 1-21 (2020), American Mathematical Society.

  19. December 2018

    1709.07691 Locality at the boundary implies gap in the bulk for 2D PEPS

    Michael J. Kastoryano, Angelo Lucia, David Perez-Garcia. In Commun. Math. Phys. (2019) 366: 895.

  20. October 2018

    1804.09525 Quantum conditional relative entropy and quasi-factorization of the relative entropy

    Angela Capel, Angelo Lucia, David Pérez-García. In J. Phys. A: Math. Theor. 51 (2018) 484001.

  21. April 2018

    1705.09491 Divide and conquer method for proving gaps of frustration free Hamiltonians

    Michael J. Kastoryano, Angelo Lucia. In Journal of Statistical Mechanics: Theory and Experiment, Volume 2018, March 2018.

  22. February 2018

    1512.05687 Size-Driven Quantum Phase Transitions

    Johannes Bausch, Toby S. Cubitt, Angelo Lucia, David Perez-Garcia, Michael M. Wolf. In Proc Natl Acad Sci. 2018 Jan 2;115(1):19-23.

  23. October 2017

    1705.03521 Superadditivity of quantum relative entropy for general states

    Angela Capel, Angelo Lucia, David Pérez-García. In IEEE Transactions on Information Theory, Vol. 64, No. 7, 2018, p. 4758-4765.

  24. October 2015

    1505.02776 Area law for fixed points of rapidly mixing dissipative quantum systems

    Fernando G. S. L. Brandao, Toby S. Cubitt, Angelo Lucia, Spyridon Michalakis, David Perez-Garcia. In J. Math. Phys. 56, 102202 (2015).

  25. April 2015

    1409.7809 Rapid mixing and stability of quantum dissipative systems

    Angelo Lucia, Toby S. Cubitt, Spyridon Michalakis, David Pérez-García. In Phys. Rev. A 91, 040302 (2015).

  26. April 2015

    1303.4744 Stability of local quantum dissipative systems

    Toby S. Cubitt, Angelo Lucia, Spyridon Michalakis, David Perez-Garcia. In Communications in Mathematical Physics: Volume 337, Issue 3 (2015), Page 1275-1315.