650 citations · 7.9k across the 124 of their papers we have counts for
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Shortcuts to Adiabaticity for non-Hermitian systems in Krylov Space
Ankit W. Shrestha, Budhaditya Bhattacharjee, Adolfo del Campo
Shortcuts to adiabaticity (STA) reproduce adiabatic dynamics in finite time, but their counterdiabatic implementation relies on the adiabatic gauge potential (AGP), which is diffic…
Krylov Dynamics and Operator Growth in Time-Dependent Systems via Lie Algebras
András Grabarits, E. Medina-Guerra, Adolfo del Campo
We study quantum dynamics generated by time-dependent Hamiltonians in Krylov space, the minimal subspace in which the evolution takes place. We establish a direct link between dyna…
Universal Non-stabilizerness Dynamics Across Quantum Phase Transitions
András Grabarits, Adolfo del Campo
Quantum magic, or non-stabilizerness, is an important quantum resource that characterizes computational power beyond classically simulable Clifford operations and is therefore esse…
Tailoring Quantum Chaos With Continuous Quantum Measurements
Preethi Gopalakrishnan, András Grabarits, Adolfo del Campo
We investigate the role of quantum monitoring in the dynamical manifestations of Hamiltonian quantum chaos. Specifically, we analyze the generalized spectral form factor, defined a…
Taxonomy of integrable and ground-state solvable models: Jastrow wave functions on graphs and parent Hamiltonians
Nilanjan Sasmal, Adolfo del Campo
We introduce a family of many-body systems of distinguishable continuous-variable particles in which interparticle interactions are set by the adjacency matrix of a graph. The grou…
Double-Bracket Master Equations: Phase-Space Representation and Classical Limit
Ankit W. Shrestha, Budhaditya Bhattacharjee, Adolfo del Campo
We systematically investigate master equations involving double-bracket dissipators in the classical limit. Dissipators defined by double commutators arise naturally in dephasing d…
Universal Growth of Krylov Complexity Across a Quantum Phase Transition
András Grabarits, Adolfo del Campo
We study the statistical properties of the spread complexity in the Krylov space of quantum systems driven across a quantum phase transition. Using the diabatic Magnus expansion, w…
Quantum Transition Rates in Arbitrary Physical Processes
Adolfo del Campo, András Grabarits, Dmitrii Makarov +1
We introduce a framework for computing time-dependent quantum transition rates (QTRs) that describe the pace of evolution of a quantum state from a given subspace to a target subsp…
Universal Defect Statistics in Counterdiabatic Quantum Critical Dynamics
András Grabarits, Adolfo del Campo
Counterdiabatic driving (CD) provides a framework for suppressing excitations in nonadiabatic processes. Exact CD protocols require nonlocal control fields, and CD approximations w…
Krylov Subspace Methods for Quantum Dynamics with Time-Dependent Generators
Kazutaka Takahashi, Adolfo del Campo
Krylov subspace methods in quantum dynamics identify the minimal subspace in which a process unfolds. To date, their use is restricted to time evolutions governed by time-independe…
Slow approach to adiabaticity in many-body non-Hermitian systems: the Hatano-Nelson Model
Léonce Dupays, Adolfo del Campo, Balázs Dóra
We explore the near adiabatic dynamics in a non-Hermitian quantum many-body system by investigating a finite-time ramp of the imaginary vector potential in the interacting Hatano-N…
Annealing Dynamics of Regular Rotor Networks: Universality and Its Breakdown
András Grabarits, Gaetano Sammartino, Adolfo del Campo
The spin-vector Monte Carlo model is widely used as a benchmark for the classicality of quantum annealers but severely restricts the time evolution. The spin-vector Langevin (SVL)…
A geometrical description of non-Hermitian dynamics: speed limits in finite rank density operators
Niklas Hörnedal, Oskar A. Prośniak, Adolfo del Campo +1
Non-Hermitian dynamics in quantum systems preserves the rank of the state density operator. Using this insight, we develop a geometric framework to describe its time evolution. In…
Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid
Léonce Dupays, Adolfo del Campo
Shortcuts to adiabaticity (STA) make the fast preparation of many-body states possible, circumventing the limitations of adiabatic strategies. We propose a fast STA protocol for ge…
Decoherence rate in random Lindblad dynamics
Yifeng Yang, Zhenyu Xu, Adolfo del Campo
Open quantum systems undergo decoherence, which is responsible for the transition from quantum to classical behavior. The time scale in which decoherence takes place can be analyze…
Exact Dynamics and Shortcuts to Adiabaticity in the Tomonaga-Luttinger Liquid
Léonce Dupays, Balázs Dóra, Adolfo del Campo
Controlling many-body quantum systems is a highly challenging task required to advance quantum technologies. Here, we report progress in controlling gapless many-body quantum syste…
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…
Time-Optimal Quantum Driving by Variational Circuit Learning
Tangyou Huang, Yongcheng Ding, Léonce Dupays +4
The simulation of quantum dynamics on a digital quantum computer with parameterized circuits has widespread applications in fundamental and applied physics and chemistry. In this c…