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Continuous Phase Transition in Anyonic-PT Symmetric Systems

Published 16 Dec 2023 in quant-ph | (2312.10350v4)

Abstract: We reveal the continuous phase transition in anyonic-PT symmetric systems, contrasting with the discontinuous phase transition corresponding to the discrete (anti-) PT symmetry. The continuous phase transition originates from the continuity of anyonic-PT symmetry. We find there are three information-dynamics patterns for anyonic-PT symmetric systems: damped oscillations with an overall decrease (increase) and asymptotically stable damped oscillations, which are three-fold degenerate and distorted using the Hermitian quantum R\'enyi entropy or distinguishability. It is the normalization of the non-unitary evolved density matrix causes the degeneracy and distortion. We give a justification for non-Hermitian quantum R\'enyi entropy being negative. By exploring the mathematics and physical meaning of the negative entropy in open quantum systems, we connect the negative non-Hermitian quantum R\'enyi entropy and negative quantum conditional entropy, opening up a new journey to rigorously investigate the negative entropy in open quantum systems.

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Authors (2)

  1. Zhihang Liu 
  2. Chao Zheng 

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