Interplay between topology and localization on superconducting circuits
- URL: http://arxiv.org/abs/2305.02486v1
- Date: Thu, 4 May 2023 01:34:29 GMT
- Title: Interplay between topology and localization on superconducting circuits
- Authors: Xin Guan, Gang Chen
- Abstract summary: We investigate the competition between topology and localization in the one-dimensional Su-Schrieffer-Heeger (SSH) model.
We construct phase diagrams that illustrate the extended nontrivial, critical localization, and coexisting topological and critical localization phases.
We propose a method for detecting different quantum phases using current experimental setups.
- Score: 8.677714774061142
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: Topological insulator lie at the forefront of condensed matter physics.
However strong disorder can destroy the topological states and make all states
become localized. In this paper, we investigate the competition between
topology and localization in the one-dimensional Su-Schrieffer-Heeger (SSH)
model with controllable off-diagonal quasi-periodic modulations on
superconducting circuits. By utilizing external ac magnetic fluxes, each
transmon can be driven and all coupling strengths can be tuned independently.
Based on this model we construct phase diagrams that illustrate the extended
topologically nontrivial, critical localization, and coexisting topological and
critical localization phases. The dynamics of the qubits' excitations are also
discussed in this paper, revealing distinct quantum state transfers resulting
from the interplay between topology and localization. Furthermore, we propose a
method for detecting different quantum phases using current experimental
setups.
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