Protecting topological order by dynamical localization
- URL: http://arxiv.org/abs/2102.03046v2
- Date: Wed, 24 Mar 2021 13:33:47 GMT
- Title: Protecting topological order by dynamical localization
- Authors: Yu Zeng, Alioscia Hamma, Yu-Ran Zhang, Jun-Peng Cao, Heng Fan, and
Wu-Ming Liu
- Abstract summary: We show that dynamical localization induced by disorder makes the time evolution a local unitary transformation at all times.
Our results suggest that the two dimensional topological quantum memory can be dynamically robust at zero temperature.
- Score: 15.306802863933541
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: As a prototype model of topological quantum memory, two-dimensional toric
code is genuinely immune to generic local static perturbations, but fragile at
finite temperature and also after non-equilibrium time evolution at zero
temperature. We show that dynamical localization induced by disorder makes the
time evolution a local unitary transformation at all times, which keeps
topological order robust after a quantum quench. We verify this conclusion by
investigating the Wilson loop expectation value and topological entanglement
entropy. Our results suggest that the two dimensional topological quantum
memory can be dynamically robust at zero temperature.
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