Dynamical phase diagram of quantum spin chains with long-range interactions

Autor(en)

Jad C. Halimeh, Valentin Zauner-Stauber

Abstrakt

Using an infinite matrix product state (iMPS) technique based on the time-dependent variational principle (TDVP), we study two major types of dynamical phase transitions (DPT) in the one-dimensional transverse-field Ising model (TFIM) with long-range power-law (1/rα with r interspin distance) interactions out of equilibrium in the thermodynamic limit - DPT-I: based on an order parameter in a (quasi-)steady state, and DPT-II: based on nonanalyticities (cusps) in the Loschmidt-echo return rate. We construct the corresponding rich dynamical phase diagram, while considering different quench initial conditions. We find a nontrivial connection between both types of DPT based on their critical lines. Moreover, and very interestingly, we detect a new DPT-II dynamical phase in a certain range of interaction exponent α, characterized by what we call anomalous cusps that are distinct from the regular cusps usually associated with DPT-II. Our results provide the characterization of experimentally accessible signatures of the dynamical phases studied in this work.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Ludwig-Maximilians-Universität München, Max-Planck-Institut für Physik komplexer Systeme

Journal

Physical Review B

Band

96

Anzahl der Seiten

5

ISSN

2469-9950

DOI

https://doi.org/10.1103/PhysRevB.96.134427

Publikationsdatum

10-2017

Peer-reviewed

Ja

ÖFOS 2012

103015 Kondensierte Materie

Schlagwörter

ASJC Scopus Sachgebiete

Electronic, Optical and Magnetic Materials, Condensed Matter Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/3d5eef95-899e-48e0-8efe-575d12f19ebe