Matches in SemOpenAlex for { <https://semopenalex.org/work/W3105492890> ?p ?o ?g. }
- W3105492890 abstract "A bstract We consider the Brownian SYK model of N interacting Majorana fermions, with random couplings that are taken to vary independently at each time. We study the out-of-time-ordered correlators (OTOCs) of arbitrary observables and the Rényi-2 tripartite information of the unitary evolution operator, which were proposed as diagnostic tools for quantum chaos and scrambling, respectively. We show that their averaged dynamics can be studied as a quench problem at imaginary times in a model of N qudits, where the Hamiltonian displays site-permutational symmetry. By exploiting a description in terms of bosonic collective modes, we show that for the quantities of interest the dynamics takes place in a subspace of the effective Hilbert space whose dimension grows either linearly or quadratically with N , allowing us to perform numerically exact calculations up to N = 10 6 . We analyze in detail the interesting features of the OTOCs, including their dependence on the chosen observables, and of the tripartite information. We observe explicitly the emergence of a scrambling time t ∗ ∼ ln N controlling the onset of both chaotic and scrambling behavior, after which we characterize the exponential decay of the quantities of interest to the corresponding Haar scrambled values." @default.
- W3105492890 created "2020-11-23" @default.
- W3105492890 creator A5036891195 @default.
- W3105492890 creator A5068358246 @default.
- W3105492890 creator A5072029219 @default.
- W3105492890 creator A5083228566 @default.
- W3105492890 creator A5088558075 @default.
- W3105492890 date "2019-11-01" @default.
- W3105492890 modified "2023-10-16" @default.
- W3105492890 title "Quantum chaos in the Brownian SYK model with large finite N : OTOCs and tripartite information" @default.
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