Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session T00: Poster Session III (1pm-4pm PST)
1:00 PM,
Thursday, March 9, 2023
Room: Exhibit Hall (Forum Ballroom)
Sponsoring
Unit:
APS
Abstract: T00.00015 : Dynamical probes for topological and non-Hermitian systems*
Presenter:
Paolo Molignini
(Univ of Cambridge)
Authors:
Paolo Molignini
(Univ of Cambridge)
Ramasubramanian Chitra
(ETH Zürich)
Wei Chen
(Pontifical Catholic University of Rio de Janeiro)
Bastien Lapierre
(Univ of Zurich)
Karin Sim
(ETH Zürich)
Nicolò Defenu
(ETH Zürich)
The first probe is a real-space Chern marker equivalent to the lattice charge polarization susceptibility to a circularly polarized electric field. This quantity, and other similar ones obtained from it, can be rigorously derived from a linear response theory. Furthermore, they can be defined even at nonzero temperature and realized in circular dichroism experiments.
The second probe relies on quench dynamics and can be used to determine the universality classes and critical exponents of topological phase transitions, e.g. with Dirac or nodal-loop gap closures, and compare them with the ones predicted by Kibble-Zurek scaling. Bloch state tomography reveals additional differences in the defect trajectories for sudden quenches.
The third probe is a quantum metric which gives a consistent description of non-Hermitian system dynamics through a nonstationary representation of the Hilbert space. This approach generalizes biorthogonal quantum mechanics to PT-broken cases, and enables the correct calculation of observables, as opposed to other methods in which the time evolution is obtained simply by dividing by the norm of the state. By employing the metric formalism, we further reveal unprecedented behaviors of non-Hermitian systems subjected to linear quenches, in which the defect production is frozen to a finite value even in the adiabatic limit, and the Kibble-Zurek scaling breaks down.
*This work is partially supported by the ESPRC Grant no. EP/P009565/1. W. C. acknowledges the financial support of the productivity in research fellowship from CNPq.
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