244 citations · 1k across the 24 of their papers we have counts for
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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…
Field theory approach to eigenstate thermalization in random quantum circuits
Yunxiang Liao, Victor Galitski
We use field-theoretic methods to explore the statistics of eigenfunctions of the Floquet operator for a large family of Floquet random quantum circuits. The correlation function o…
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…
Effective field theory of random quantum circuits
Yunxiang Liao, Victor Galitski
Quantum circuits have been widely used as a platform to simulate generic quantum many-body systems. In particular, random quantum circuits provide a means to probe universal featur…