Entropy from Scaling Symmetry Breaking
High Energy Physics - Theory
2014-11-26 v1 Strongly Correlated Electrons
Quantum Physics
Abstract
The scaling symmetry in conformal quantum mechanics (CQM) can be broken due to the boundary conditions that follow from the requirement of a unitary time evolution of the Hamiltonian. We show that the scaling symmetry of CQM can be restored by introducing a suitable mixed state, which is associated with a nonvanishing von Neumann entropy. We give an explicit formula for the entropy arising from the mixed state in CQM. Our work provides a direct link between the restoration of a broken symmetry and von Neumann entropy.
Cite
@article{arxiv.1411.6648,
title = {Entropy from Scaling Symmetry Breaking},
author = {Neymar Cavalcante and Saulo Diles and Kumar S. Gupta and Amilcar R. de Queiroz},
journal= {arXiv preprint arXiv:1411.6648},
year = {2014}
}
Comments
13 pages