Boundary Condition, Topology, and Energy-Scale Deformation in Quantum Systems(Current Topics)

Abstract

Boundary condition and topology play a crucial role in determining the properties of quantum system. We report our recent finding that one can change the topology of the ground states of quantum critical systems by applying "sine-square deformation" which introduces a gradual modulation in local energy scale of the system but does not change the topology of the Hamiltonian. Implications of the result to several topics are also discussed.