LANS Informal Seminar: Matthew Otten

Seminar Title: Entanglement, Cooling and More: Simulations of Nanoscale Systems Using the Lindblad Master Equation
Speaker: Matthew Otten, Ph.D. Candidate, Cornell University

Date/Time: 2017-01-04 15:00
Location: Bldg. 240, Room 1404-1405

Description:
We model the quantum dynamics of several nanoscale systems, such as coupled quantum dots – metal nanoparticles and nitrogen vacancy centers inside diamond mechanical resonators utilizing the Lindblad form of the density matrix master equation, which allows for inclusion of dephasing and dissipation. In the quantum dot – metal nanoparticle system, we have studied and explained the mechanisms responsible for entanglement generation and the lifetime of that entanglement, while in the nitrogen vacancy system we studied the cooling of the mechanical resonator due to its coupling to the nitrogen vacancy center. Working with the full Hilbert space is computationally difficult; we will discuss our efforts to simulate the full Hilbert space for select systems, as well as the approximations and simplifications we can often make to solve a much easier problem. We utilize state of the art derivative free optimization algorithms to optimize the entanglement.