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Topological Quantum Computing

Topological phases in Kitaev chain with imbalanced pairing

arXiv

Authors: C. Li, X. Z. Zhang, G. Zhang, Z. Song

Year

2017

Paper ID

44604

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

We systematically study a Kitaev chain with imbalanced pair creation and annihilation, which is introduced by non-Hermitian pairing terms. Exact phase diagram shows that the topological phase is still robust under the influence of the conditional imbalance. The gapped phases are characterized by a topological invariant, the extended Zak phase, which is defined by the biorthonormal inner product. Such phases are destroyed at the points where the coalescence of groundstates occur, associating with the time-reversal symmetry breaking. We find that the Majorana edge modes also exist for the open chain within unbroken time-reversal symmetric region, demonstrating the bulk-edge correspondence in such a non-Hermitian system.

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We systematically study a Kitaev chain with imbalanced pair creation and annihilation, which is introduced by non-Hermitian pairing terms.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1707.04718 [2] arXiv https://arxiv.org/abs/1707.04718 [3] Publisher https://arxiv.org/abs/1707.04718

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