Angelo Lucia

Myself

Publication list

  1. October 2024

    preprint [2410.13589v1] Undecidability of the spectral gap in rotationally symmetric Hamiltonians

    Laura Castilla-Castellano, Angelo Lucia.

  2. September 2024

    preprint [2409.09685v1] On the critical finite-size gap scaling for frustration-free Hamiltonians

    Marius Lemm, Angelo Lucia.

  3. December 2023

    [2209.01141v3] 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).

  4. November 2023

    [2107.01628v3] 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.

  5. April 2023

    [2212.11872v2] A Nonvanishing Spectral Gap for AKLT Models on Generalized Decorated Graphs

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

  6. January 2022

    [2112.00593v2] 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).

  7. December 2021

    [2112.00601v1] 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).

  8. June 2021

    [1908.09004v2] 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).

  9. September 2020

    [1809.08185v3] Tensor network representations from the geometry of entangled states

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

  10. July 2020

    [1912.10327v2] Deformations of the Boundary Theory of the Square Lattice AKLT Model

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

  11. June 2020

    [1810.01858v2] Undecidability of the Spectral Gap in One Dimension

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

  12. June 2020

    [1901.00899v2] Recursion relations for chromatic coefficients for graphs and hypergraphs

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

  13. May 2019

    [1901.09297v2] 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.

  14. December 2018

    [1709.07691v2] 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.

  15. October 2018

    [1804.09525v2] 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.

  16. April 2018

    [1705.09491v2] 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.

  17. February 2018

    [1512.05687v3] 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.

  18. October 2017

    [1705.03521v3] 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.

  19. October 2015

    [1505.02776v2] 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).

  20. April 2015

    [1409.7809v3] 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).

  21. April 2015

    [1303.4744v4] 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.