Conference ID: 988-109-22631
The dynamics of an open quantum system, due to its interactions with a bath environment, can exhibit non-Markovian behavior. Often observed as memory effects, the non-Markovian nature might be tied to important quantum properties, such as quantum decoherence, correlations and entanglement. We present embedding procedures that reduce non-Markovian stochastic Schrodinger equations (SSE) to Markovian dynamics by using auxiliary orbitals and multiplicative noise.
At the level of SSEs, we show that the asymptotics of the spectral density associated with the quantum bath can be recovered by using correlated Ornstein-Uhlenbeck processes.
At the level of quantum master equations (QME), we show that a generalized QME that goes beyond the Lindblad form can be derived by blending the stochastic noise into the auxiliary orbitals.
We also formulate a quantum optimal control (QOC) problem based on the QME. Combined with a variational formulation, we construct an algorithm for the QOC problem, with application to a spin-Boson system.
Xiantao Li received his PhD in 2002 from University of Wisconsin, Madison. He is currently the professor in the Department of Mathematics at Pennsylvania State University. His current research focuses on data assimilation of stochastic models, coarse-graining molecular dynamics, and first-principle calculations. He received the Sloan Research Fellowship in 2007.