Numerical study of induced tunneling in two dimensions
Abstract
Motivated by possible quantum computing applications, we develop a model of induced tunneling of vortices in a two-dimensional torus. We build on earlier analytical work, confirming by numerical simulation several of the assumptions and approximations used to obtain the analytical results as well as extending the range of applicability. A model device which allows the independent control of order parameter suppression and biasing flux is introduced and developed through numerical calculations in order to obtain detailed results on flux transport using virtual vortex-antivortex pair creation, transport, and annihilation. Induced tunneling of vortices to effect a significant flux change without large residual excitation is confirmed to be possible provided the vortex-antivortex pair creation frequency is not too small. The treatment of the intervortex potential in the analytical work is shown to be valid, greatly simplifying future work on this subject.
Degree
Ph.D.
Advisors
Khlebnikov, Purdue University.
Subject Area
Condensation
Off-Campus Purdue Users:
To access this dissertation, please log in to our
proxy server.