650 citations · 7.9k across the 124 of their papers we have counts for
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Krylov Complexity and Dynamical Phase Transition in the quenched LMG model
Pedro H. S. Bento, Adolfo del Campo, Lucas C. Céleri
Investigating the time evolution of complexity in quantum systems entails evaluating the spreading of the system's state across a defined basis in its corresponding Hilbert space.…
Unitarity breaking in self-averaging spectral form factors
Apollonas S. Matsoukas-Roubeas, Mathieu Beau, Lea F. Santos +1
The complex Fourier transform of the two-point correlator of the energy spectrum of a quantum system is known as the spectral form factor (SFF). It constitutes an essential diagnos…
Large Deviations Beyond the Kibble-Zurek Mechanism
Federico Balducci, Mathieu Beau, Jing Yang +2
The Kibble-Zurek mechanism (KZM) predicts that the average number of topological defects generated upon crossing a continuous or quantum phase transition obeys a universal scaling…
Quantum Chaos and Coherence: Random Parametric Quantum Channels
Apollonas S. Matsoukas-Roubeas, Tomaž Prosen, Adolfo del Campo
The survival probability of an initial Coherent Gibbs State (CGS) is a natural extension of the Spectral Form Factor (SFF) to open quantum systems. To quantify the interplay betwee…
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 (…
Shortcuts to Adiabaticity in Krylov Space
Kazutaka Takahashi, Adolfo del Campo
Shortcuts to adiabaticity provide fast protocols for quantum state preparation in which the use of auxiliary counterdiabatic controls circumvents the requirement of slow driving in…
Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth
Niklas Hörnedal, Nicoletta Carabba, Kazutaka Takahashi +1
Quantum speed limits (QSLs) provide lower bounds on the minimum time required for a process to unfold by using a distance between quantum states and identifying the speed of evolut…