Magic phase transitions in monitored gaussian fermions
Fuente:
arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866918087815593984 |
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| author | Tirrito, Emanuele Lumia, Luca Paviglianiti, Alessio Lami, Guglielmo Silva, Alessandro Turkeshi, Xhek Collura, Mario |
| author_facet | Tirrito, Emanuele Lumia, Luca Paviglianiti, Alessio Lami, Guglielmo Silva, Alessandro Turkeshi, Xhek Collura, Mario |
| contents | Monitored quantum systems, where unitary dynamics compete with continuous measurements, exhibit dynamical transitions as the measurement rate is varied. These reflect abrupt changes in the structure of the evolving wavefunction, captured by complementary complexity diagnostics that include and go beyond entanglement aspects. Here, we investigate how monitoring affects magic state resources, the nonstabilizerness, of Gaussian fermionic systems. Using scalable Majorana sampling techniques, we track the evolution of stabilizer Rényi entropies in large systems under projective measurements. While the leading extensive (volume-law) scaling of magic remains robust across all measurement rates, we uncover a sharp transition in the subleading logarithmic corrections. This measurement-induced complexity transition, invisible to standard entanglement probes, highlights the power of magic-based diagnostics in revealing hidden features of monitored many-body dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07179 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Magic phase transitions in monitored gaussian fermions Tirrito, Emanuele Lumia, Luca Paviglianiti, Alessio Lami, Guglielmo Silva, Alessandro Turkeshi, Xhek Collura, Mario Quantum Physics Quantum Gases Statistical Mechanics Strongly Correlated Electrons Monitored quantum systems, where unitary dynamics compete with continuous measurements, exhibit dynamical transitions as the measurement rate is varied. These reflect abrupt changes in the structure of the evolving wavefunction, captured by complementary complexity diagnostics that include and go beyond entanglement aspects. Here, we investigate how monitoring affects magic state resources, the nonstabilizerness, of Gaussian fermionic systems. Using scalable Majorana sampling techniques, we track the evolution of stabilizer Rényi entropies in large systems under projective measurements. While the leading extensive (volume-law) scaling of magic remains robust across all measurement rates, we uncover a sharp transition in the subleading logarithmic corrections. This measurement-induced complexity transition, invisible to standard entanglement probes, highlights the power of magic-based diagnostics in revealing hidden features of monitored many-body dynamics. |
| title | Magic phase transitions in monitored gaussian fermions |
| topic | Quantum Physics Quantum Gases Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2507.07179 |