1305.1374 (Jai Seok Ahn)
Jai Seok Ahn
The bound states and entanglements of an electron confined in two dimensional quantum dots were investigated by solving a time-independent Schr\"odinger equation numerically with a finite difference method applicable to arbitrary two dimensional potential. The Hamiltonian was first projected on a two dimensional grid, and was rearranged eventually on a pseudo one-dimensional grid by sequencing the two-dimensional projections into one-dimension. The resulting Hamiltonian matrix was numerically diagonalized to provide the bound state energies and the real-space eigenfunctions. We demonstrated the legitimacy of the method by applying it to a shallow quantum dot with a finite round well and by comparing the results with their analytic counterparts. The developed method was applied to the entanglements in double quantum dots (DQDs) consisting of two harmonic finite-wells. The mixing-induced energy-level-shifts of bonding and antibonding states elucidated the varying interaction strength as a function of distance between two identical QDs. In addition, the efficiency of level-coupling of entangled molecular bound states was studied with two closely located QDs by introducing asymmetries in their potential depths.
View original:
http://arxiv.org/abs/1305.1374
No comments:
Post a Comment