Techniques for Finding Exact Solutions of Interacting Dissipative Quantum Systems

Описание: Techniques for Finding Exact Solutions of Interacting Dissipative Quantum Systems
Qiskit Seminar Series with Alexander McDonald
#QiskitSeminarSeries #IBMQuantum

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Speaker: Alexander McDonald
Host: Zlatko Minev, PhD.

Abstract:

As quantum information processors continue to improve, a better understanding of strongly-interacting dissipative quantum models is required to accurately model such systems. Exact solutions in such instances however are few and far between; adding dissipation to even the simplest closed-system Hamiltonian often means resorting to numerics or employing unjustified approximations.

In this talk, I show how weak symmetries can be used to analytically diagonalize a large class of strongly-interacting dissipative Markovian Lindblad master equations which are relevant to present-day quantum processors. The method effectively implements an unusual yet exact mean-field-like decoupling, allowing for a full quantitative understanding of all characteristic energies and decay rates. Further, this allows one to describe the exact evolution of an arbitrary initial state.

In the second part of my talk I will discuss how a reformulated version of third quantization can be used to gain a more intuitive picture of open quantum systems. In addition, I will argue that this 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.

Bio:

Alexander is a postdoctoral fellow at the Université de Sherbrooke in Alexandre Blais' group. His main research interests are superconducting circuit theory, quantum non-reciprocity, and quantum sensing. Prior to joining the Université de Sherbrooke, he was a PhD student at the University of Chicago in Aash Clerk's group.