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arXiv · 2112.08294

Correlations at PT-symmetric quantum critical point

Balázs Dóra·Doru Sticlet·Catalin Pascu Moca
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Abstract

We consider a PT-symmetric Fermi gas with an exceptional point, representing the critical point between PT-symmetric and symmetry broken phases. The low energy spectrum remains linear in momentum and is identical to that of a hermitian Fermi gas. The fermionic Green's function decays in a power law fashion for large distances, as expected from gapless excitations, albeit the exponent is reduced from $-1$ due to the quantum Zeno effect. In spite of the gapless nature of the excitations, the ground state entanglement entropy saturates to a finite value, independent of the subsystem size due to the non-hermitian correlation length intrinsic to the system. Attractive or repulsive interaction drives the system into the PT-symmetry broken regime or opens up a gap and protects PT-symmetry, respectively. Our results challenge the concept of universality in non-hermitian systems, where quantum criticality can be masked due to non-hermiticity.

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Balázs Dóra, Doru Sticlet, Catalin Pascu Moca. 2021-12-15. Correlations at PT-symmetric quantum critical point. https://doi.org/10.1103/physrevlett.128.146804

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