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- W4311432227 abstract "We study in detail the dynamics of unstable two-level quantum systems by adopting the Bloch-sphere formalism of qubits. By employing the Bloch-vector representation for such unstable qubit systems, we identify a novel class of critical scenarios in which the so-called energy-level and decay-width vectors, ${bf E}$ and ${bfGamma}$, are orthogonal to one another, and the parameter $r = |{bf Gamma}|/(2|{bf E}|)$ is less than 1. Most remarkably, we find that critical unstable qubit systems exhibit atypical behaviours like coherence--decoherence oscillations when analysed in an appropriately defined co-decaying frame of the system. In the same frame, a unit Bloch vector ${bf b}$ describing a pure critical qubit will sweep out unequal areas during equal intervals of time, while rotating about the vector ${bf E}$. These phenomena emerge beyond the usual oscillatory pattern due to the energy-level difference of the two-level quantum system. Interestingly enough, we observe that these new features will persist even for quasi-critical scenarios, in which the vectors ${bf E}$ and ${bfGamma}$ are not perfectly orthogonal to each other. Applications of our results to quantum information and to unstable meson--antimeson and other systems are discussed." @default.
- W4311432227 created "2022-12-26" @default.
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- W4311432227 date "2022-12-12" @default.
- W4311432227 modified "2023-09-23" @default.
- W4311432227 title "Quantum Coherence of Critical Unstable Two-Level Systems" @default.
- W4311432227 doi "https://doi.org/10.48550/arxiv.2212.06031" @default.
- W4311432227 hasPublicationYear "2022" @default.
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