Quantum Chaos and Coherence: Random Parametric Quantum Channels
- URL: http://arxiv.org/abs/2305.19326v2
- Date: Fri, 17 Nov 2023 16:26:16 GMT
- Title: Quantum Chaos and Coherence: Random Parametric Quantum Channels
- Authors: Apollonas S. Matsoukas-Roubeas, Toma\v{z} Prosen and 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 periodically interrupted by 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
periodically interrupted by 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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