Quantum Chaos and Coherence: Random Parametric Quantum Channels

• URL: http://arxiv.org/abs/2305.19326v3
• Date: Sun, 18 Aug 2024 15:42:10 GMT
• Title: Quantum Chaos and Coherence: Random Parametric Quantum Channels
• Authors: Apollonas S. Matsoukas-Roubeas, Tomaž Prosen, Adolfo del Campo,
• Abstract summary: We quantify interplay between quantum chaos and decoherence away from the semi-classical limit. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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