108 citations · 142 across the 7 of their papers we have counts for
12 papers
Rotation Breaks Kibble-Zurek Universality
Shiva Dwivedi, Kenichi Kasamatsu, Adolfo Del Campo +1
We show that trap rotation overrides Kibble-Zurek (KZ) universality when a 2D Bose-Einstein condensate forms via a finite-time quench. In stochastic Gross-Pitaevskii simulations, t…
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…
Counterdiabatic Quantum Circuits
Ankit Wenju Shrestha, Budhaditya Bhattacharjee, Adolfo del Campo
Counterdiabatic driving provides a universal route to fast quantum control, but its standard formulation presupposes a Hamiltonian generator. We develop a Hamiltonian-free theory o…
Evolution of Vortex Strings after a Thermal Quench in a Holographic Superfluid
Chuan-Yin Xia, András Grabarits, Hua-Bi Zeng +1
The formation of topological defects during continuous phase transitions exhibits nonequilibrium universality. While the Kibble-Zurek mechanism (KZM) predicts universal scaling of…
Noise-Assisted Feedback Control of Open Quantum Systems for Ground State Properties
Kasturi Ranjan Swain, Rajesh K. Malla, Adolfo del Campo
Intrinsic noise in pre-fault-tolerant quantum devices poses a major challenge to the reliable realization of unitary dynamics in quantum algorithms and simulations. To address this…
Krylov Complexity Under Hamiltonian Deformations and Toda Flows
Kazutaka Takahashi, Pratik Nandy, Adolfo del Campo
The quantum dynamics of a complex system can be efficiently described in Krylov space, the minimal subspace in which the dynamics unfolds. We apply the Krylov subspace method for H…
Circulation Statistics and Migdal Area Rule Beyond the Kibble-Zurek Mechanism in a Newborn Bose-Einstein Condensate
Matteo Massaro, Seong-Ho Shinn, Mithun Thudiyangal +1
The Kibble-Zurek mechanism (KZM) predicts that a newly formed superfluid prepared by a finite-time thermal quench is populated with vortices. The universality of vortex number stat…
Driving a Quantum Phase Transition at Arbitrary Rate: Exact solution of the Transverse-Field Ising model
András Grabarits, Federico Balducci, Adolfo del Campo
We study the crossing of the quantum phase transition in the transverse-field Ising model after modulating the magnetic field at an arbitrary rate, exploring the critical dynamics…
Fighting Exponentially Small Gaps by Counterdiabatic Driving
András Grabarits, Federico Balducci, Adolfo del Campo
We investigate the efficiency of approximate counterdiabatic driving (CD) in accelerating adiabatic passage through exponentially small gaps. First, we analyze a minimal spin-glass…
Non-Adiabatic Quantum Optimization for Crossing Quantum Phase Transitions
András Grabarits, Federico Balducci, Barry C. Sanders +1
We consider the optimal driving of the ground state of a many-body quantum system across a quantum phase transition in finite time. In this context, excitations caused by the break…
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…