Precision-Induced Irreversibility in non-Hermitian systems
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910155736612864 |
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| author | Torres, Luis E. F. Foa Pappas, G. Achilleos, V. Avilés, D. Bautista |
| author_facet | Torres, Luis E. F. Foa Pappas, G. Achilleos, V. Avilés, D. Bautista |
| contents | Non-Hermitian evolution is mathematically invertible, yet finite dynamic range imposes a sharp operational limit on reversibility. We identify Precision-Induced Irreversibility (PIR): amplification, mode mixing (as warranted by non-normality), and a finite resolution floor -- whether set by numerical precision, detector noise, or environmental fluctuations -- conspire to produce a quantitative predictability horizon $T_{\mathrm{of}}$, beyond which distinct states collapse onto identical representations. Within the effective non-Hermitian description, the mechanism requires neither environmental decoherence nor nonlinear dynamics; remove any ingredient and reversibility can be restored. Echo-fidelity tests confirm this transition across arbitrary-precision arithmetic and hardware, revealing where formal invertibility and physical reversibility diverge. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22284 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Precision-Induced Irreversibility in non-Hermitian systems Torres, Luis E. F. Foa Pappas, G. Achilleos, V. Avilés, D. Bautista Quantum Physics Statistical Mechanics Non-Hermitian evolution is mathematically invertible, yet finite dynamic range imposes a sharp operational limit on reversibility. We identify Precision-Induced Irreversibility (PIR): amplification, mode mixing (as warranted by non-normality), and a finite resolution floor -- whether set by numerical precision, detector noise, or environmental fluctuations -- conspire to produce a quantitative predictability horizon $T_{\mathrm{of}}$, beyond which distinct states collapse onto identical representations. Within the effective non-Hermitian description, the mechanism requires neither environmental decoherence nor nonlinear dynamics; remove any ingredient and reversibility can be restored. Echo-fidelity tests confirm this transition across arbitrary-precision arithmetic and hardware, revealing where formal invertibility and physical reversibility diverge. |
| title | Precision-Induced Irreversibility in non-Hermitian systems |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2603.22284 |