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- W2790085823 abstract "It has been a long-standing challenge to expand the notion of exponential sensitivity to small perturbations in the initial conditions from the realm of classical chaos to that of many-body quantum systems. Recently, exponential growth in a measure known as the out-of-time-order commutator (OTOC) has been proposed as a diagnostic of chaos in the setting of many-body quantum systems. The authors examine the behavior of the OTOC along rays of different velocities for a variety of spatially local extended many-body quantum systems, both integrable and nonintegrable. They find that the velocity-dependent Lyapunov exponents are negative for velocities greater than a characteristic ``butterfly speed'', which defines the light cone for the spreading of operators. It is demonstrated that a regime with well-defined positive Lyapunov exponents inside the light-cone may only exist for classical, semiclassical, weakly interacting, or large-$N$ systems, but not for fully quantum systems with strong short-range interactions and local Hilbert space dimensions of order one." @default.
- W2790085823 created "2018-03-29" @default.
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- W2790085823 date "2018-10-16" @default.
- W2790085823 modified "2023-09-30" @default.
- W2790085823 title "Velocity-dependent Lyapunov exponents in many-body quantum, semiclassical, and classical chaos" @default.
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- W2790085823 doi "https://doi.org/10.1103/physrevb.98.144304" @default.
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