000069452 001__ 69452 000069452 005__ 20191127155456.0 000069452 0247_ $$2doi$$a10.1103/PhysRevE.97.022133 000069452 0248_ $$2sideral$$a104573 000069452 037__ $$aART-2018-104573 000069452 041__ $$aeng 000069452 100__ $$0(orcid)0000-0001-5062-2332$$aAres, F.$$uUniversidad de Zaragoza 000069452 245__ $$aOrthogonality catastrophe and fractional exclusion statistics 000069452 260__ $$c2018 000069452 5060_ $$aAccess copy available to the general public$$fUnrestricted 000069452 5203_ $$aWe 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. 000069452 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-2$$9info:eu-repo/grantAgreement/ES/FPI/C070-2014$$9info:eu-repo/grantAgreement/ES/MINECO/FPA2015-65745-P 000069452 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000069452 590__ $$a2.353$$b2018 000069452 591__ $$aPHYSICS, MATHEMATICAL$$b7 / 55 = 0.127$$c2018$$dQ1$$eT1 000069452 591__ $$aPHYSICS, FLUIDS & PLASMAS$$b14 / 32 = 0.438$$c2018$$dQ2$$eT2 000069452 592__ $$a0.992$$b2018 000069452 593__ $$aCondensed Matter Physics$$c2018$$dQ1 000069452 593__ $$aStatistics and Probability$$c2018$$dQ1 000069452 593__ $$aStatistical and Nonlinear Physics$$c2018$$dQ1 000069452 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000069452 700__ $$aGupta, K.S. 000069452 700__ $$aDe Queiroz, A.R. 000069452 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000069452 773__ $$g97, 2 (2018), 022133 [6 pp]$$pPhys. rev., E$$tPhysical Review E$$x2470-0045 000069452 8564_ $$s366493$$uhttps://zaguan.unizar.es/record/69452/files/texto_completo.pdf$$yVersión publicada 000069452 8564_ $$s20008$$uhttps://zaguan.unizar.es/record/69452/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000069452 909CO $$ooai:zaguan.unizar.es:69452$$particulos$$pdriver 000069452 951__ $$a2019-11-27-15:47:26 000069452 980__ $$aARTICLE