Quantum Chaos and Coherence: Random Parametric Quantum Channels
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866912003220570112 |
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| author | Matsoukas-Roubeas, Apollonas S. Prosen, Tomaž del Campo, Adolfo |
| author_facet | Matsoukas-Roubeas, Apollonas S. Prosen, Tomaž del Campo, Adolfo |
| contents | The survival probability of an initial Coherent Gibbs State (CGS) is a natural extension of the Spectral Form Factor (SFF) to open quantum systems. To quantify the interplay between quantum chaos and decoherence away from the semi-classical limit, we investigate the relation of this generalized SFF with the corresponding $l_1$-norm of coherence. As a working example, we introduce Parametric Quantum Channels (PQC), a discrete-time model of unitary evolution mixed with the effects of measurements or transient interactions with an environment. The Energy Dephasing (ED) dynamics arises as a specific case in the Markovian limit. We demonstrate our results in a series of random matrix models. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2305_19326 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum Chaos and Coherence: Random Parametric Quantum Channels Matsoukas-Roubeas, Apollonas S. Prosen, Tomaž del Campo, Adolfo Quantum Physics Statistical Mechanics High Energy Physics - Theory Mathematical Physics The survival probability of an initial Coherent Gibbs State (CGS) is a natural extension of the Spectral Form Factor (SFF) to open quantum systems. To quantify the interplay between quantum chaos and decoherence away from the semi-classical limit, we investigate the relation of this generalized SFF with the corresponding $l_1$-norm of coherence. As a working example, we introduce Parametric Quantum Channels (PQC), a discrete-time model of unitary evolution mixed with the effects of measurements or transient interactions with an environment. The Energy Dephasing (ED) dynamics arises as a specific case in the Markovian limit. We demonstrate our results in a series of random matrix models. |
| title | Quantum Chaos and Coherence: Random Parametric Quantum Channels |
| topic | Quantum Physics Statistical Mechanics High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2305.19326 |