Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session A75: Superconducting qubit circuit theory
8:00 AM–10:48 AM,
Monday, March 6, 2023
Room: Room 401/402
Sponsoring
Unit:
DQI
Chair: Adrian Parra Rodriguez, Université de Sherbrooke
Abstract: A75.00001 : Exact Solutions of Interacting Dissipative Systems via Weak Symmetries*
8:00 AM–8:36 AM
Presenter:
Alexander McDonald
(Université de Sherbrooke)
Author:
Alexander McDonald
(Université de Sherbrooke)
In this talk, I show how so-called weak symmetries can be used to analytically diagonalize a large class of strongly-interacting dissipative Markovian Lindblad master equations which are relevant to superconducting qubits. That is, one can obtain a quantitative understanding of all characteristic decay rates and describe the exact evolution of an arbitrary initial state.
The method effectively implements an unusual yet exact mean-field decoupling, allowing one to fully describe the dynamics and dissipative spectrum. I will discuss how these solutions also provide an intuitive picture of the dynamics in these models. Finally, I will briefly explore how this approach can be used as a starting point to perform perturbative analyses to more complex systems where, crucially, the non-linearities are included in the unperturbed theory.
*This work is supported by the Air Force Office of Scientific Research MURI program under Grant No. FA9550-19-1-0399
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