INVESTIGADORES
OSENDA Omar
artículos
Título:
Exact finite reduced density matrix and von Neumann entropy for the Calogero model
Autor/es:
OMAR OSENDA; FEDERICO M. PONT; ANNA OKOPINSKA; PABLO SERRA
Revista:
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Editorial:
IOP PUBLISHING LTD
Referencias:
Lugar: Londres; Año: 2015 vol. 48 p. 485301 - 485301
ISSN:
1751-8113
Resumen:
The information content of continuous quantum variables systems is usually studied using anumber of well known approximation methods. The approximations are made to obtain the spectrum,eigenfunctions or the reduced density matrices that are essential to calculate the entropy-likequantities that quantify the information. Even in the sparse cases where the spectrum and eigenfunctionsare exactly known the entanglement spectrum, i.e. the spectrum of the reduced densitymatrices that characterize the problem, must be obtained in an approximate fashion. In this work,we obtain analytically a finite representation of the reduced density matrices of the fundamentalstate of the N-particle Calogero model for a discrete set of values of the interaction parameter. Asa consequence, the exact entanglement spectrum and von Neumann entropy is worked out.