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Center for Nonlinear Studies |
The dynamics of quantum systems typically unfolds within a subspace of the state or operator space, known as the Krylov space. Krylov subspace methods provide a compact and computationally efficient description of quantum evolution, which is particularly useful for describing nonequilibrium phenomena of many-body systems with a large Hilbert space. In this talk, I will explore the notion of Krylov complexity as a probe for operator growth, quantum chaos, and scrambling. I will discuss the generalized quantum speed limits in Krylov space and the formulation of shortcuts to adiabaticity in Krylov space for quantum control and quantum optimization.
Bio: Del Campo is a Spanish physicist and a professor of physics at the University of Luxembourg. Del Campo was educated at the University of the Basque Country, The University of Texas at Austin, and The University of North Carolina at Chapel Hill. He completed his Ph.D. at the University of the Basque Country in 2008. He was a postdoctoral research associate at Imperial College London. He was awarded a Distinguished J. Robert Oppenheimer Fellowship at Los Alamos National Laboratory. In 2014, he became an associate professor at the University of Massachusetts. He was an Ikerbasque Research Professor at the Donostia International Physics Center (2019-2020) and is currently a full professor at the University of Luxembourg. He is best known for his work in quantum control and theoretical physics. He is notable as one of the pioneers of shortcuts to adiabaticity. He was elected as a Fellow of the American Physical Society in 2023.
Host: Akram Touil (T-4)