RT Journal Article
T1 Structure of eigenstates and quench dynamics at an excited state quantum phase transition
A1 Santos, Lea F.
A1 Pérez Bernal, Francisco
AB We study the structure of the eigenstates and the dynamics of a system that undergoes an excited state quantumphase transition (ESQPT). The analysis is performed for two-level pairing models characterized by a U(n + 1)algebraic structure. They exhibit a second order phase transition between two limiting dynamical symmetriesrepresented by the U(n) and SO(n + 1) subalgebras. They are, or can be mapped onto, models of interactingbosons. We show that the eigenstates with energies very close to the ESQPT critical point, EESQPT, are highlylocalized in the U(n)-basis. Consequently, the dynamics of a system initially prepared in a U(n)-basis vectorwith energy E   EESQPT may be extremely slow. Signatures of an ESQPT can therefore be found in thestructures of the eigenstates and in the speed of the system evolution after a sudden quench. Our findings canbe tested experimentally with trapped ions.
PB American Physical Society
SN 1050-2947
SN 1094-1622 (electrónico)
YR 2015
FD 2015
LK http://hdl.handle.net/10272/11496
UL http://hdl.handle.net/10272/11496
LA eng
NO Santos, L.F.,  Pérez Bernal, F.: "Structure of eigenstates and quench dynamics at an excited state quantum phase transition". Physical Review A. Vol. 92, n. 5, 050101(R), (2015). DOI: 10.1103/PhysRevA.92.050101
NO L.F.S. thanks the ITAMP, where part of this work was done, for its hospitality. We thank Jose M. Arias, Jose E. Garcia-Ramos, Francesco Iachello, and Pedro Perez-Fernandez for useful discussions. L.F.S. was supported by the NSF Grant No. DMR-1147430. F.P.B. was funded by MINECO Grants No. FIS2011-28738-C02-02 and No. FIS2014-53448-C2-2-P and by the Spanish Consolider-Ingenio 2010 (CPANCSD2007-00042).
DS Repositorio Institucional de la Universidad de Huelva
RD 31 may 2026