A Memory of Majorana Modes through Quantum Quench

Area of Science:

• Condensed Matter Physics
• Topological Superconductivity
• Quantum Dynamics

Background:

• One-dimensional p-wave superconductors host exotic phenomena like Majorana zero-modes.
• Sudden quenches in quantum systems can reveal non-trivial dynamics and topological signatures.
• Entanglement spectrum analysis is a powerful tool for characterizing topological phases.

Purpose of the Study:

• To investigate the topological characterization of a one-dimensional p-wave superconductor after a sudden quench.
• To understand the role of a pseudomagnetic field in the system's long-time evolution and memory effects.
• To explore the robustness and potential revival of Majorana zero-modes.

Main Methods:

• Analysis of the entanglement spectrum to probe topological properties.
• Theoretical modeling of a one-dimensional p-wave superconductor under a sudden quench.
• Investigation of the system's dynamics governed by a pseudomagnetic field, Reff(k).

Main Results:

• The long-time evolution and topological characterization are dictated by a pseudomagnetic field, Reff(k).
• Reff(k) establishes a connection between initial and final Hamiltonians, indicating a memory effect.
• The study identifies the parameter space for the revival of Majorana zero-modes in the infinite-time limit.

Conclusions:

• The quench dynamics of p-wave superconductors are significantly influenced by a pseudomagnetic field and exhibit memory effects.
• Majorana zero-modes show robustness, with conditions identified for their revival, offering insights into topological quantum computation.