Recently, there are renewed interests on constraints by quantum effects on physical properties of macroscopic quantum system at low temperatures, specifically bound on scrambling rate (chaos). On the other side, the eigenstate thermalization hypothesis (ETH) is an ansatz for the matrix elements of local operators between eigenstates of the Hamiltonian, expected to be valid for chaotic systems. In this talk, I will talk about one work exploring connection between bound on scrambling and ETH: Phys. Rev. Lett. 123, 230606 (2019). I will first give a brief introduction to quantum scrambling, out-of-time-ordered correlation (OTOC) function and bound on scrambling rate at low temperatures. Then I will briefly review Random Matrix Theory (RMT) and Eigenstate thermalization Hypothesis (ETH). Finally, I will talk about the sketch of the proof in the paper.
Note: This talk will be in-person.
