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In this talk, I will present some of my Ph.D. research on quantum metrology and open quantum systems. In the first part, after introducing the general protocol in quantum metrology, I will discuss the fundamental bound in quantum multi-parameter estimation and the optimal measurements that can achieve it. In the second part of the talk, I will focus on open quantum systems with weak nonlinearity, where perturbation theory applies. I will first present a formalism of stochasticfunctional perturbation method for anharmonic chain coupled to harmonic baths. Then I will discuss the validity of the Markovian master equation for an LC harmonic oscillator capacitively coupled to a nonlinear bath consisting of a chain of Josephson junctions in the large charging energy regime. I will conclude the talk by discussing some future directions.
Jing Yang received his B.S. in 2011 from Hohai University, Nanjing, China, and his M.S. in 2014 from Zhejiang University, Hangzhou, China. He came to the University of Rochester, New York, US in 2015 to pursue his Ph.D. in theoretical physics. He obtained his M.A. in 2017 and will obtain his Ph.D. in the spring of 2021. During his Ph.D., he works with Prof. Andrew Jordan on various topics in theoretical quantum optics, including quantum metrology, continuous quantum measurement, open quantum systems, quantum transport, and quantum thermodynamics.