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- W4313304432 abstract "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 short times. We show that the spectral form factor, a central quantity in quantum chaos, sets a tighter universal bound on the quantum dynamics of a complete set of initial states over arbitrarily long times. This bound further generalizes naturally to the real-time dynamics of time-dependent or dissipative systems where no energy spectrum exists. We use this result to constrain the scrambling of information in interacting many-body systems. For Hamiltonian systems, we show that the fundamental question of the fastest possible scrambling time -- without any restrictions on the structure of interactions -- maps to a purely mathematical property of the density of states involving the non-negativity of Fourier transforms." @default.
- W4313304432 created "2023-01-06" @default.
- W4313304432 creator A5011704763 @default.
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- W4313304432 date "2022-12-28" @default.
- W4313304432 modified "2023-09-23" @default.
- W4313304432 title "Exact universal bounds on quantum dynamics and fast scrambling" @default.
- W4313304432 doi "https://doi.org/10.48550/arxiv.2212.14021" @default.
- W4313304432 hasPublicationYear "2022" @default.
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