Sine-square deformation and supersymmetric quantum mechanics
Statistical Mechanics
2015-10-16 v2 Strongly Correlated Electrons
High Energy Physics - Theory
Quantum Physics
Abstract
We investigate the sine-square deformation (SSD) of free fermions in one-dimensional continuous space. On the basis of supersymmetric quantum mechanics, we prove the correspondence between the many-body ground state of the system with SSD and that of the uniform system with periodic boundary conditions. We also discuss the connection between the SSD in the continuous space and its lattice version, where the geometric correction due to the real-space deformation plays an important role in relating the eigenstates of the lattice SSD with those of the continuous SSD.
Cite
@article{arxiv.1505.07904,
title = {Sine-square deformation and supersymmetric quantum mechanics},
author = {Kouichi Okunishi and Hosho Katsura},
journal= {arXiv preprint arXiv:1505.07904},
year = {2015}
}
Comments
18 pages, 3 figures; v2: typos corrected, references updated