5 papers
Magic for Hybrid Boson-Fermion Systems: A Grassmann Phase-Space Approach
Matthieu Sarkis, Pablo Martinez-Azcona, Alexandre Tkatchenko
Non-stabilizerness enables universality beyond Gaussian/Clifford dynamics, yet no resource theory exists for systems combining bosonic and fermionic degrees of freedom. Using the G…
Surmise for random matrices' level spacing distributions beyond nearest-neighbors
Ruth Shir, Pablo Martinez-Azcona, Aurélia Chenu
Correlations between energy levels can help distinguish whether a many-body system is of integrable or chaotic nature. The study of short-range and long-range spectral correlations…
Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
Pablo Martinez-Azcona, Aritra Kundu, Avadh Saxena +2
We study the quantum dynamics generated by a non-Hermitian Hamiltonian subject to stochastic perturbations in its anti-Hermitian part, describing fluctuating gains and losses. The…
Quantum Dynamics in Krylov Space: Methods and Applications
Pratik Nandy, Apollonas S. Matsoukas-Roubeas, Pablo Martínez-Azcona +2
The dynamics of quantum systems unfolds within a subspace of the state space or operator space, known as the Krylov space. This review presents the use of Krylov subspace methods t…
Doublons, topology and interactions in a one-dimensional lattice
P. Martínez Azcona, C. A. Downing
We investigate theoretically the Bose-Hubbard version of the celebrated Su-Schrieffer-Heeger topological model, which essentially describes a one-dimensional dimerized array of cou…