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Araujo Filho, A. A., Furtado, J., Hassanabadi, H., & Reis, J. A. A. S. (2023). Thermal analysis of photon-like particles in rainbow gravity. Phys. Dark Universe, 42, 101310–8pp.
Abstract: This work is devoted to study the thermodynamic behavior of photon-like particles within the rainbow gravity formalism. To to do this, we chose two particular ansatzs to accomplish our calculations. First, we consider a dispersion relation which avoids UV divergences, getting a positive effective cosmological constant. We provide numerical analysis for the thermodynamic functions of the system and bounds are estimated. Furthermore, a phase transition is also expected for this model. Second, we consider a dispersion relation employed in the context of Gamma Ray Bursts. Remarkably, for this latter case, the thermodynamic properties are calculated in an analytical manner and they turn out to depend on the harmonic series Hn, gamma & UGamma; (z), polygamma & psi;n(z) and zeta Riemann functions & zeta;(z).
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Liu, X. Z., Yang, Y. H., Gessner, M., Smerzi, A., Li, W. D., Yang, X., et al. (2025). Photonic Metrology with Hierarchic Quantum Frequentist Bounds. Adv. Photon. Res., , 7pp.
Abstract: Quantum metrology establishes fundamental precision limits for parameter estimation, yet standard Quantum Cram & eacute;r-Rao Bound (QCRB) becomes insufficient in the finite-data regime. In this article, the QCRB is systematically tighten using a hybrid classical-quantum framework by incorporating generalized unbiasedness constraints through test observables. These frequentist bounds form a hierarchy converging asymptotically to the QCRB as more measurements are performed. These hierarchical frequentist bounds are validated for single-qubit phase estimation on a photonic platform.
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