Leírás
Quantum many-body chaos studies the scrambling of quantum information among a large number of degrees of freedom $N$. It rests on the prediction that out-of-time-ordered correlators (OTOCs) of the form $<[A(t),B]>$ can be connected to classical dynamics. We rigorously prove a variant of this correspondence principle for $N$ bosons with mean-field interactions. More precisely, we show that for suitable operators $A,B$ the OTOC $<[A(t),B]>$ of the corresponding Heisenberg dynamics is in the limit $N \to \infty$ explicitly given by a suitable symplectic Bogoliubov dynamics.
The proof uses Bogoliubov theory and extends to higher-order correlators of operators at different times. This is joint work with Marius Lemm.
The zoom link to the talk is:
https://us06web.zoom.us/j/97594629945?pwd=MmFNaVk4a1FhdjEvc2RRdGdod0FpZz09 .