Date&Time | Tue Jan 09 2024 (17:00 - 18:00) |
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Speaker | Pratik Nandy |
Affiliation | Riken |
Title | Operator growth and Quantum chaos in SYK model |
Abstract | The Hamiltonian evolution of a quantum system can cause a simple operator to become a complicated operator. This process reflects the scrambling of quantum information in the system. We probe such operator growth by Krylov complexity, quantifying the difficulty of simulating the operator evolution using the Krylov space method. We review the current progress and challenges of applying this approach to closed and open systems and illustrate some examples from the SYK model. |
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