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quant-ph2022★ 15 cited
Exact universal bounds on quantum dynamics and fast scrambling
Amit Vikram, Victor Galitski
Quantum speed limits such as the Mandelstam-Tamm or Margolus-Levitin bounds offer a quantitative formulation of the energy-time uncertainty principle that constrains dynamics over…
quant-ph2022★ 28 cited
Dynamical quantum ergodicity from energy level statistics
Amit Vikram, Victor Galitski
Ergodic theory provides a rigorous mathematical description of chaos in classical dynamical systems, including a formal definition of the ergodic hierarchy. How ergodic dynamics is…