System-environmental entanglement in critical spin systems under $ZZ$-decoherence and its relation to strong and weak symmetries
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| Format: | Preprint |
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2025
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| _version_ | 1866918136236736512 |
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| author | Kuno, Yoshihito Orito, Takahiro Ichinose, Ikuo |
| author_facet | Kuno, Yoshihito Orito, Takahiro Ichinose, Ikuo |
| contents | Open quantum many-body systems exhibit nontrivial behavior under decoherence. In particular, system-environmental entanglement (SEE) is one of the efficient quantities for classifying mixed states subject to decoherence. In this work, we investigate the SEE of critical spin chains under nearest-neighbor $ZZ$-decoherence. We numerically show that the SEE exhibits a specific scaling law, in particular, its system-size-independent term (``$g$-function'') changes drastically its behavior in the vicinity of phase transition caused by decoherence. For the XXZ model in its gapless regime, a transition diagnosed by strong Rényi-2 correlations occurs as the strength of the decoherence increases. We determine the location of the phase transition by investigating the $g$-function that exhibits a sharp change in the critical region of the transition. Furthermore, we find that the value of the SEE is twice that of the system under single-site $Z$-decoherence, which was recently studied by conformal field theory. From the viewpoint of Rényi-2 Shannon entropy}, which is closely related to the SEE at the maximal decoherence, we clarify the origin of this $g$-function behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17481 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | System-environmental entanglement in critical spin systems under $ZZ$-decoherence and its relation to strong and weak symmetries Kuno, Yoshihito Orito, Takahiro Ichinose, Ikuo Quantum Physics Mesoscale and Nanoscale Physics Statistical Mechanics Strongly Correlated Electrons Open quantum many-body systems exhibit nontrivial behavior under decoherence. In particular, system-environmental entanglement (SEE) is one of the efficient quantities for classifying mixed states subject to decoherence. In this work, we investigate the SEE of critical spin chains under nearest-neighbor $ZZ$-decoherence. We numerically show that the SEE exhibits a specific scaling law, in particular, its system-size-independent term (``$g$-function'') changes drastically its behavior in the vicinity of phase transition caused by decoherence. For the XXZ model in its gapless regime, a transition diagnosed by strong Rényi-2 correlations occurs as the strength of the decoherence increases. We determine the location of the phase transition by investigating the $g$-function that exhibits a sharp change in the critical region of the transition. Furthermore, we find that the value of the SEE is twice that of the system under single-site $Z$-decoherence, which was recently studied by conformal field theory. From the viewpoint of Rényi-2 Shannon entropy}, which is closely related to the SEE at the maximal decoherence, we clarify the origin of this $g$-function behavior. |
| title | System-environmental entanglement in critical spin systems under $ZZ$-decoherence and its relation to strong and weak symmetries |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2501.17481 |