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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.10350 |
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| _version_ | 1866929259755339776 |
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| author | Liu, Zhihang Zheng, Chao |
| author_facet | Liu, Zhihang Zheng, Chao |
| contents | 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 Rényi 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 Rényi 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 Rényi entropy and negative quantum conditional entropy, opening up a new journey to rigorously investigate the negative entropy in open quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_10350 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Continuous Phase Transition in Anyonic-PT Symmetric Systems Liu, Zhihang Zheng, Chao Quantum Physics 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 Rényi 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 Rényi 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 Rényi entropy and negative quantum conditional entropy, opening up a new journey to rigorously investigate the negative entropy in open quantum systems. |
| title | Continuous Phase Transition in Anyonic-PT Symmetric Systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2312.10350 |