The Fate of Majorana Modes Through Quantum Quench
Ming-Chiang Chung2, Yi-Hao Jhu2, Pochung Chen1*, Chung-Yu Mou2, Xin Wan3
1Physics Department, National Chung-Hsing University, Taichung, Taiwan
2Physics Department, National Tsing Hua University, Hsinchu, Taiwan
3Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, China
* presenting author:Pochung Chen,
We study the sudden quench of a one-dimensional p-wave superconductor through its topological signature in the entanglement spectrum. We show that the long-time evolution of the system and its topological characterization depend on a pseudomagnetic field Reff(k). Furthermore, Reff(k) connects both the initial and the final Hamiltonians, hence exhibiting a memory effect. In particular, we explore the robustness of the Majorana zero-mode and identify the parameter space in which the Majorana zero-mode can revive in the infinite-time limit. We also study how the entanglement spectrum relaxes to its steady state. We find that the entanglement spectrum always exhibits a power law relaxation superimposed with oscillations at certain characteristic angular frequencies.

Keywords: quantum quench, Majorana zero-mode, entanglement spectrum