108 citations · 168 across the 8 of their papers we have counts for
9 papers
On Information Propagation in Krylov Subspaces
Pablo Martinez-Azcona, Maximilian Meyer-Moelleringhof, Adolfo del Campo +1
Krylov subspace methods provide an efficient tool for modeling any quantum initial value problem as a one dimensional chain. A time ordered path formulation, in which the dynamical…
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…
Decomposing the Spectral Form Factor
Pablo Martinez-Azcona, Ruth Shir, Aurélia Chenu
Correlations between the energies of a system's spectrum are one of the defining features of quantum chaos. They can be probed using the Spectral Form Factor (SFF). We investigate…
Stochastic Operator Variance: an observable to diagnose noise and scrambling
Pablo Martinez-Azcona, Aritra Kundu, Adolfo del Campo +1
Noise is ubiquitous in nature, so it is essential to characterize its effects. Considering a fluctuating Hamiltonian, we introduce an observable, the stochastic operator variance (…
Analyticity constraints bound the decay of the spectral form factor
Pablo Martinez-Azcona, Aurélia Chenu
Quantum chaos cannot develop faster than for systems in thermal equilibrium [Maldacena, Shenker & Stanford, JHEP (2016)]. This `MSS bound' on the Lyapunov exp…
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…