Continuous Phase Transition in Anyonic-PT Symmetric Systems
- URL: http://arxiv.org/abs/2312.10350v4
- Date: Fri, 1 Mar 2024 01:30:33 GMT
- Title: Continuous Phase Transition in Anyonic-PT Symmetric Systems
- Authors: Zhihang Liu and Chao Zheng
- Abstract summary: We reveal the continuous phase transition in anyonic-PT symmetric systems, contrasting with the discontinuous phase transition corresponding to the discrete (anti-) PT symmetry.
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.
- Score: 4.28599518663131
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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