2014/11/24 by Neymar Cavalcante, Saulo Diles, Cavalcante, Neymar +5
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.1411.6648
13 pages
arxiv created 2014/11/24 · arxiv updated 2014/11/26
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.