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Quantum Simulation

Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems

arXiv
Authors: Norifumi Matsumoto, Kohei Kawabata, Yuto Ashida, Shunsuke Furukawa, Masahito Ueda

Year

2019

Paper ID

39739

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

Contrary to the conventional wisdom in Hermitian systems, a continuous quantum phase transition between gapped phases is shown to occur without closing the energy gap Δ in non-Hermitian quantum many-body systems. Here, the relevant length scale ξsimeq vrm LR/Δ diverges because of the breakdown of the Lieb-Robinson bound on the velocity i.e., unboundedness of $vrm LR$ rather than vanishing of the energy gap Δ. The susceptibility to a change in the system parameter exhibits a singularity due to nonorthogonality of eigenstates. As an illustrative example, we present an exactly solvable model by generalizing Kitaev's toric-code model to a non-Hermitian regime.

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  • Contrary to the conventional wisdom in Hermitian systems, a continuous quantum phase transition between gapped phases is shown to occur without closing the energy gap Δ in...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1912.09045 [2] arXiv https://arxiv.org/abs/1912.09045 [3] Publisher https://arxiv.org/abs/1912.09045

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