Operator Scrambling and Fermi's Golden Rule
ORAL
Abstract
The out-of-time-order correlator (OTOC) qualifies the scrambling of local operators over the entire system. It has been argued that at early times the OTOC exhibits an exponential growth with a rate bounded above by 2π/β, where β is the inverse temperature.
In this work, we show that for generic (0+1)D systems the OTOC is ultimately related to the thermal average of the Loschmidt echo, with the perturbation given by the coupling between subsystems. It is further argued that the exponential growth and the temperature dependence of the OTOC can be determined by the Fermi’s golden rule.
In this work, we show that for generic (0+1)D systems the OTOC is ultimately related to the thermal average of the Loschmidt echo, with the perturbation given by the coupling between subsystems. It is further argued that the exponential growth and the temperature dependence of the OTOC can be determined by the Fermi’s golden rule.
*This research was supported by the DOE under the LDRD program at the Los Alamos National Laboratory. LC also acknowledges support by the DOE through the J. Robert Oppenheimer fellowship.
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Presenters
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Bin Yan
- Los Alamos National Lab