Research

Collective quantum phenomena, in and out of equilibrium

Quantum materials and quantum computers both depend on how many quantum particles behave together. We work on five connected themes, combining analytical methods with large-scale numerics. About the group

Quantum chaos in open systems

What does chaos look like when a quantum system leaks into its environment? We study the spectra of Liouvillians and non-Markovian generators, random-matrix universality, and how relaxation and thermalization work away from isolation.

11 papers since 2024

Complex spacing ratios: uncorrelated (Poisson) versus chaotic (GinUE) spectra. L. Sá, P. Ribeiro, T. Prosen, Phys. Rev. X 10, 021019 (2020)

Dissipation- versus Chaos-Induced Relaxation in Non-Markovian Quantum Many-Body SystemsG. Almeida, P. Ribeiro, M. Haque, L. SáPhys. Rev. B 114, L051107 (2026)
Universality, Robustness, and Limits of the Eigenstate Thermalization Hypothesis in Open Quantum SystemsG. Almeida, P. Ribeiro, M. Haque, L. SáPhys. Rev. E 113, L012101 (2026)
Symmetry Classes of Classical Stochastic ProcessesL. Sá, P. Ribeiro, T. Prosen, D. BernardJ. Stat. Phys. 192, 41 (2025)
Emergent Topology in Many-Body Dissipative Quantum MatterA. M. García-García, L. Sá, J. J. M. Verbaarschot, C. YinPhys. Rev. B 111, 035157 (2025)

Driven matter and transport

Voltage, temperature bias and noise push matter into states with no equilibrium counterpart. We study non-equilibrium phase transitions, current fluctuations, impurity models and universal transport laws.

5 papers since 2024

Phase diagram of the Falicov–Kimball model, temperature versus interaction. M. M. Oliveira et al., arXiv:1810.10582

Voltage-Driven Breakdown of Electronic OrderM. M. Oliveira, P. Ribeiro, S. KirchnerPhys. Rev. B 114, 245101 (2026)
Critical Charge and Current Fluctuations across a Voltage-Driven Phase TransitionJ. F. B. Afonso, S. Kirchner, P. RibeiroPhys. Rev. B 114, 175132 (2026)
Emergence of Universality in Transport of Noisy Free FermionsJ. Costa, P. Ribeiro, A. De LucaPhys. Rev. Lett. 137, 020403 (2026)
Modulated Spiral Order in the 1D Kondo Lattice ModelX. Han, P. Ribeiro, S. ChesiCommun. Theor. Phys. 77, 115702 (2025)

Quasiperiodic and moiré materials

Incommensurate potentials and moiré superlattices produce localization, multifractality and new kinds of order. We look for the phases these systems host and how interactions and disorder change them.

11 papers since 2024

Fractal quasicondensation in a one-dimensional quasiperiodic system. F. Riche et al., Phys. Rev. B 110, 224523 (2024)

Quasiperiodicity-Induced Enhancement of Superconductivity in One-Dimensional Critical SystemsR. Oliveira, M. Gonçalves, P. Ribeiro, E. V. Castro, B. AmorimPhys. Rev. B 113, 174206 (2026)
Effective Band-Projected Description of Interacting Quasiperiodic SystemsF. Riche, R. Liquito, B. Amorim, E. V. Castro, P. Ribeiro, M. GonçalvesarXiv:2603.13548 (2026) Preprint
Disorder-Induced Instability of a Weyl Nodal Loop Semimetal towards a Diffusive Topological Metal with Protected Multifractal Surface StatesJ. S. Silva, M. Gonçalves, E. V. Castro, P. Ribeiro, M. A. N. AraújoPhys. Rev. B 111, L041116 (2025)
Local Density of States as a Probe of Multifractality in Quasiperiodic Moiré MaterialsR. Oliveira, N. Sobrosa, P. Ribeiro, B. Amorim, E. V. CastroarXiv:2510.20575 (2025) Preprint

Quantum information and noisy devices

Real quantum processors are noisy. We use many-body and random-matrix tools to describe error accumulation, error mitigation and correction, tomography of open systems, and monitored dynamics.

7 papers since 2024

Operator spreading in random unitary circuits: free fermions versus Haar. B. C. Dias et al., arXiv:2102.09846

Error-Correction Transitions in Finite-Depth Quantum ChannelsA. Sauliere, G. Lami, P. Ribeiro, A. De Luca, J. De NardisPhys. Rev. Lett. 137, 120402 (2026)
Random-Matrix Perspective on Probabilistic Error CancellationL. Moske, P. Ribeiro, T. Prosen, S. Denysov, K. Życzkowski, D. J. LuitzPhys. Rev. A 114, 012442 (2026)
Fidelity Decay and Error Accumulation in Random Quantum CircuitsN. Samos, R. Bistroń, M. Rudziński, R. M. C. Pereira, K. Życzkowski, P. RibeiroSciPost Phys. 19, 013 (2025)
Fock-Space Delocalization and the Emergence of the Porter-Thomas Distribution from Dual-Unitary DynamicsP. W. Claeys, G. De TomasiPhys. Rev. Lett. 134, 050405 (2025)

Localization, constraints and gauge theories

Conservation laws can freeze or slow dynamics. We study many-body localization, fractonic and multipole-conserving systems, non-Hermitian skin effects and lattice gauge theories.

9 papers since 2024

Domain growth after a quench of the Ising model: without conservation laws (Glauber), conserving the magnetization (Kawasaki), and also conserving its dipole moment. Each extra conservation law slows the coarsening. J. Gliozzi, F. Balducci, G. De Tomasi, Phys. Rev. E 113, 044112 (2026)

Grokking vs learning: same features, different encodingsD. Manning-Coe, J. Gliozzi, A. G. Stapleton, E. Hirst, G. De Tomasi, B. Bradlyn, D. S. BermanMachine Learning Science and Technology 7, 035045 (2026)
Domain coarsening in fractonic systems: A cascade of critical exponentsJ. Gliozzi, F. Balducci, G. De TomasiPhys. Rev. E 113, 044112 (2026)
Non-Hermitian multipole skin effects challenge localizationJ. Gliozzi, F. Balducci, T. L. Hughes, G. De TomasiPhys. Rev. B 113 (2026)
Fractonic Constraints and Magnetic Order in a Dipole-Conserving Spin ChainPrabhakar, G. De Tomasi, S. BeraarXiv:2605.19421 (2026) Preprint