Volume 131, Number 2, July 2020
|Number of page(s)||7|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||24 August 2020|
Non-Hermitian avalanche effect: Non-perturbative effect induced by local non-Hermitian perturbation on a Z2topological order
Center for Advanced Quantum Studies, Department of Physics, Beijing Normal University - Beijing 100875, China
Received: 24 January 2020
Accepted: 14 July 2020
In this paper, based on a non-Hermitian toric-code model we found the fragileness of intrinsic topological orders under non-Hermitian perturbations. The effect of non-Hermitian avalanche for a designed toric-code model is uncovered: for the designed toric-code model with special external fields, a tiny non-Hermitian perturbation (local imaginary state-selective dissipation) leads to anomalous topological degeneracy and breaks down the bulk-degeneracy correspondence (a correspondence between bulk quasi-particles and topologically protected degenerate ground states). To support our theoretical predictions, we calculated the ground-state degeneracy and fidelity susceptibility of the ground states based on the non-Hermitian toric-code model on lattice and that on lattice. The numerical results are consistent with theoretical prediction.
PACS: 75.10.Jm – Quantized spin models, including quantum spin frustration / 11.30.Er – Charge conjugation, parity, time reversal, and other discrete symmetries / 03.65.Xp – Tunneling, traversal time, quantum Zeno dynamics
© 2020 EPLA
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.