NLM DIR Seminar Schedule

Abstract:

Even though we live in the classical limit governed by quantum mechanics, the quantum phenomenon has become more and more prevalent in technology and in our lives. Examples include photosynthesis, quantum cognition, and quantum computing, etc. We present the derivation of the ground state energies for both boundary conditions and their degeneracies in the isotropic quantum XY chain. While imposing the translational invariance, we solve the finite length periodic chain via Jordan-Wigner transformation with suitable momentum mode choices. The finite open chain violates the translational symmetry and is solved by matrix analysis in addition to the Jordan-Wigner transformation. Then we apply similar tactics and extend the analysis to the anisotropic XY model.