Towards the web of quantum chaos diagnostics

Towards the web of quantum chaos diagnostics

Blog Article

Abstract We study the connections between three quantities that can be used as diagnostics for quantum chaos, i.e., the out-of-time-order correlator (OTOC), here Loschmidt echo (LE), and complexity.We generalize the connection between OTOC and LE for infinite dimensions and extend it for higher-order OTOCs and multi-fold LEs.Novel here applications of this intrinsic relation are proposed.

We also investigated the relationship between a specific circuit complexity and LE by using the inverted oscillator model and made a conjecture about their relationship.These relationships signal a deeper connection between these three probes of quantum chaos.