Nonstabilizerness in the unitary and monitored quantum dynamics of XXZ-staggered and SYK models
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
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2025
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| _version_ | 1866912561166811136 |
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| author | Russomanno, Angelo Passarelli, Gianluca Rossini, Davide Lucignano, Procolo |
| author_facet | Russomanno, Angelo Passarelli, Gianluca Rossini, Davide Lucignano, Procolo |
| contents | We consider the quantum-state-diffusion dynamics of the XXZ-staggered spin chain, also focusing on its noninteracting XX-staggered limit, and of the Sachdev-Ye-Kitaev (SYK) model. We describe the process through quantum trajectories and evaluate the nonstabilizerness (also known as ``magic'') along the trajectories, quantified through the stabilizer Rényi entropy (SRE). In the absence of measurements, we find that the SYK model is the only one in which the time-averaged SRE saturates the random state bound and has a scaling with the system size that is well described by the theoretical prediction for quantum chaotic systems. In the presence of measurements, we numerically find that the steady-state SRE versus the coupling strength to the environment is well fitted by a generalized Lorentzian function. The scaling of the fitting parameters with the system size suggests that the steady-state} SRE linearly increases with the system size in all the considered cases, and displays no measurement-induced quantum transition, as confirmed by the curves of the steady-state SRE versus the system size. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01431 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonstabilizerness in the unitary and monitored quantum dynamics of XXZ-staggered and SYK models Russomanno, Angelo Passarelli, Gianluca Rossini, Davide Lucignano, Procolo Quantum Physics Statistical Mechanics We consider the quantum-state-diffusion dynamics of the XXZ-staggered spin chain, also focusing on its noninteracting XX-staggered limit, and of the Sachdev-Ye-Kitaev (SYK) model. We describe the process through quantum trajectories and evaluate the nonstabilizerness (also known as ``magic'') along the trajectories, quantified through the stabilizer Rényi entropy (SRE). In the absence of measurements, we find that the SYK model is the only one in which the time-averaged SRE saturates the random state bound and has a scaling with the system size that is well described by the theoretical prediction for quantum chaotic systems. In the presence of measurements, we numerically find that the steady-state SRE versus the coupling strength to the environment is well fitted by a generalized Lorentzian function. The scaling of the fitting parameters with the system size suggests that the steady-state} SRE linearly increases with the system size in all the considered cases, and displays no measurement-induced quantum transition, as confirmed by the curves of the steady-state SRE versus the system size. |
| title | Nonstabilizerness in the unitary and monitored quantum dynamics of XXZ-staggered and SYK models |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2502.01431 |