Semester

Fall

Date of Graduation

2024

Document Type

Dissertation

Degree Type

PhD

College

Eberly College of Arts and Sciences

Department

Physics and Astronomy

Committee Chair

Edward Flagg

Committee Co-Chair

Alan Bristow

Committee Member

Aldo Romero

Committee Member

Marcelo Davanco

Abstract

Computational physics has been a backbone of experimental and theoretical physics since the 1940’s, when the first nuclear bomb and ballistic simulations were per- formed at Los Alamos Laboratory. Nowadays, however, simulation of open quan- tum systems has been formalized into coding packages and user-friendly functions, such as QuTiP or Qiskit, which allow users to simulate these systems without hav- ing the in-depth knowledge required to build the computational backbone from the ground-up. With the shift in modern quantum physics towards the realization of quantum computation, a strong computational background is still necessary to lend validity to theoretical results and to help explain experimental results. Here, a new solver is considered which fits well into the regime of many modern quantum com- putational experiments, i.e. one which works well for systems which have Hamil- tonians that are repeating in time. This solver, named FLiMESolve (for Floquet- Lindblad Master Equation Solver), is derived from a Floquet interpretation of the Lindblad master equation, is well suited for these time-periodic Hamiltonians, and will be integrated into QuTiP. This solver maintains the benefits of other solvers used in QuTiP, while superseding their usefulness within its own regime. FLiMESolve is able to efficiently and accurately simulate time-periodic systems while being faster and more accurate than other solvers and with the ability to relax the secular ap- proximation inherent to the Lindblad Equation.

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