Chaos in maps with leaks and superconducting qubits
Chaos in maps with leaks and superconducting qubits
Speaker: Dr. Miguel Prado
Date: March 14th, 2024, 16:00 (GMT-6)
Auditorium Z, CUCEI. YouTube link
Abstract:
There are numerous physical situations where a hole or leak is introduced into a previously closed chaotic system. This leak may have a natural origin or simulate measurement devices. In the first part of the talk, a brief introduction to these systems is given using the kicked rotor, and we present our results on the influence of classical dynamic traps on escape routes defined by time scales, as well as their quantum correspondence when studying resonances in the Husimi-Schur representation.
In the second part, we move on to qubits in superconducting circuits. The recent implementation of Kerr-cat qubits has leveraged the nonlinearity of the superconducting transmon SNAIL circuit and a squeezing drive. Although increasing these nonlinearities may enable faster gate times, in this talk, we demonstrate that it can also induce chaos and affect the stability of the qubit. In this context, we determine the validity region of the Kerr-cat qubit and discuss possible experimental methods to detect its decay.