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Superconducting Qubits

Entanglement spectrum of gapless topological phases: a case study with topological superconductors

arXiv

Authors: Archi Banerjee, Meng Zeng

Year

2025

Paper ID

51219

Status

Preprint

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~2 min

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Abstract

Using bulk gapless topological superconductors in both 1d and 2d as free fermion model examples, we demonstrate the power of subsystem correlation spectrum (the spectrum of correlation matrix), or equivalently the entanglement spectrum for the case of free fermions, in characterizing the topology of the non-trivial ground state. For the systems considered, we show that signatures of the lowenergy spectrum, including both the edge modes and the bulk modes, appear in the correlation spectrum, albeit with different behaviors. This work generalizes the 2d Li-Haldane entanglement spectrum characterization of topological edge states to 2d topological systems with gapless bulk.

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Using bulk gapless topological superconductors in both 1d and 2d as free fermion model examples, we demonstrate the power of subsystem correlation spectrum (the spectrum of...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2510.13045 [2] arXiv https://arxiv.org/abs/2510.13045 [3] Publisher https://arxiv.org/abs/2510.13045

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