Orthogonality catastrophe and fractional exclusion statistics

Ares, F. (Universidad de Zaragoza) ; Gupta, K.S. ; De Queiroz, A.R.

Resumen: We show that the N-particle Sutherland model with inverse-square and harmonic interactions exhibits orthogonality catastrophe. For a fixed value of the harmonic coupling, the overlap of the N-body ground state wave functions with two different values of the inverse-square interaction term goes to zero in the thermodynamic limit. When the two values of the inverse-square coupling differ by an infinitesimal amount, the wave function overlap shows an exponential suppression. This is qualitatively different from the usual power law suppression observed in the Anderson''s orthogonality catastrophe. We also obtain an analytic expression for the wave function overlaps for an arbitrary set of couplings, whose properties are analyzed numerically. The quasiparticles constituting the ground state wave functions of the Sutherland model are known to obey fractional exclusion statistics. Our analysis indicates that the orthogonality catastrophe may be valid in systems with more general kinds of statistics than just the fermionic type.

Idioma: Inglés

DOI: 10.1103/PhysRevE.97.022133

Año: 2018

Publicado en: Physical Review E 97, 2 (2018), 022133 [6 pp]
ISSN: 2470-0045

Factor impacto JCR: 2.353 (2018)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 7 / 55 = 0.127 (2018) - Q1 - T1
Categ. JCR: PHYSICS, FLUIDS & PLASMAS rank: 14 / 32 = 0.438 (2018) - Q2 - T2

Factor impacto SCIMAGO: 0.992 - Condensed Matter Physics (Q1) - Statistics and Probability (Q1) - Statistical and Nonlinear Physics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-2
Financiación: info:eu-repo/grantAgreement/ES/FPI/C070-2014
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FPA2015-65745-P

Tipo y forma: Article (Published version)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)