Iranian Journal of Physics Research

Edge mode dynamics in long-range Kitaev model

Document Type : Original Article

Authors

Saeid Ansari 1
Rohollah Jafari 2

1 Department of Engineering Sciences and Physics, Buein Zahra Technical University, Buein Zahra, Iran

2 Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran

https://doi.org/10.47176/ijpr.21.1.11155
Abstract
In this paper we study the dynamics of long-range pairing and hopping p-wave superconducting chain after a ‎sudden quench of chemical potential. We have shown that the quantum-classical phase transition occurs ‎when the system is quenched to the critical point and the Loschmidt echo shows perfect periodic oscillations. ‎Moreover we have studied the dynamical phase transition for a quench across the critical point. Our analysis ‎shows that the dynamical phase transition occurs for the cases where the system initially prepared in the ‎massless edge modes. While the system does not show dynamical phase transition when the system is ‎prepared in the massive edge modes, even the quench crossing the critical point‎‎.

Keywords

p-wave superconductivity
long-range Kitaev chain
Majorana edge modes
dynamical phase transition
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