Abstract
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.
Highlights
We study the sudden quench of a one-dimensional p-wave superconductor through its topological signature in the entanglement spectrum
Majorana modes at the ends12–15, which found that topology could induce anomalous defect production that could cause quantum decoherence, when a system was adiabatically driven through a quantum critical point
We find that the topology of the infinite-time behavior can be determined by the properties of a pseudomagnetic field Reff, which connects both the initial and the final Hamiltonians, exhibiting a memory effect
Summary
We study the sudden quench of a one-dimensional p-wave superconductor through its topological signature in the entanglement spectrum. 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. One may exploit exotic topological excitations that obey non-Abelian braiding statistics to encode quantum information, which would be robust against local perturbations. Named after Ettore Majorana, Majorana zero-modes seem to be the easiest to construct among the family of objects that realize non-Abelian statistics. Topological non-trivial phases can be identified by the presence of zero-energy Majorana edge modes at open boundaries, which may be realized at the interface of superconductors with either topological insulators or semiconductors with strong spin-orbit coupling. To control the Majorana zero-modes for braiding or computing one needs to dynamically change the experimental parameters, such as the gate voltage in a wire network or the magnetic flux in a hybrid. Majorana modes at the ends, which found that topology could induce anomalous defect production that could cause quantum decoherence, when a system was adiabatically driven through a quantum critical point
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