¡Nos trasladamos! E-Prints cerrará el 7 de junio.

En las próximas semanas vamos a migrar nuestro repositorio a una nueva plataforma con muchas funcionalidades nuevas. En esta migración las fechas clave del proceso son las siguientes:

Es muy importante que cualquier depósito se realice en E-Prints Complutense antes del 7 de junio. En caso de urgencia para realizar un depósito, se puede comunicar a docta@ucm.es.

Dynamical and excited-state quantum phase transitions in collective systems



Downloads per month over past year

Corps, Angel L. and Relaño Pérez, Armando (2022) Dynamical and excited-state quantum phase transitions in collective systems. Physical review B, 106 (2). ISSN 2469-9950

[thumbnail of Relaño74libre.pdf]

Official URL: http://dx.doi.org/10.1103/PhysRevB.106.024311


We study dynamical phase transitions (DPTs) in quantum many-body systems with infinite-range interaction, and present a theory connecting the two kinds of known DPTs (sometimes referred to as DPTs-I and DPTs-II) with the concept of excited-state quantum phase transition (ESQPT), traditionally found in collective models. We show that DPTs-I appear as a manifestation of symmetry restoration after a quench from the broken-symmetry phase, the limits between these two phases being demarcated precisely by an ESQPT. We describe the order parameters of DPTs-I with a generalization of the standard microcanonical ensemble incorporating the infor-mation of two additional conserved charges identifying the corresponding phase. We also show that DPTs-I are linked to a mechanism of information erasure brought about by the ESQPT, and quantify this information loss with the statistical ensemble that we propose. Finally, we show analytically the main mechanism for DPTs-II is forbidden in these systems for quenches leading a broken-symmetry initial state to the same broken-symmetry phase, on one side of the ESQPT, and we provide a formulation of DPTs-II depending on the side of the ESQPT where the quench ends. We analyze the connections between various indicators of DPTs-II. Our results are numerically illustrated in the infinite-range transverse-field Ising model and are applicable to a large class of collective quantum systems satisfying a set of conditions.

Item Type:Article
Additional Information:

©2022 American Physical Society. We gratefully acknowledge discussions with P. Pérez Fernández and J. Dukelsky. This work has been supported by the Spanish Grant No. PGC-2018-094180-B-I00 funded by Ministerio de Ciencia e Innovación/Agencia Estatal de Investigación MCIN/AEI/10.13039/501100011033 and FEDER "A Way of Making Europe". A.L.C. acknowledges financial support from `la Caixa' Foundation (ID 100010434) through the Fellowship No. LCF/BQ/DR21/11880024.

Uncontrolled Keywords:Model
Subjects:Sciences > Physics > Thermodynamics
ID Code:76583
Deposited On:13 Feb 2023 08:41
Last Modified:13 Feb 2023 10:56

Origin of downloads

Repository Staff Only: item control page