Entropic Uncertainty in Neutrino and Meson Systems

Huang, Zhiming

doi:10.1002/andp.201900140

Cited by 4 publications

(4 citation statements)

References 46 publications

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“…Here we will discuss a framework of decoherence and relaxation of neutrinos induced by their interaction with the environment, causing a change in the neutrino evolution. In the literature, there are different models for the interaction of a given system with the environment [45][46][47]. For instance, at Reference [45] the interaction is modeled as a set of harmonic oscillators.…”

Section: Theoretical Model For Neutrino Decoherence and Relaxationmentioning

confidence: 99%

Quantum decoherence and relaxation in neutrinos using long-baseline data

Gomes¹,

Gomes²,

Peres³

2020

Preprint

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We investigate the effect of quantum decoherence and relaxation in neutrino oscillations using MINOS and T2K data. The formalism of open quantum systems is used describe the interaction of a neutrino system with the environment, where the strength of the interaction is regulated by a decoherence parameter Γ. We assume an energy dependence parameterized by Γ = γ 0 (E/GeV) n , with n = −2, 0, +2, and study three different scenarios. The MINOS and T2K data present a complementary behavior, with regard to our theoretical model, resulting in a better sensitivity for n = +2 and n = −2, respectively. We perform a combined analysis of both experimental data and include a reactor constraint on sin 2 θ 13 . The results of our combined analyses improve significantly the previous bounds on γ 0 for n = −2, reporting an upper bound of 1.7 × 10 −23 GeV, at the 90% confidence level.

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Section: Theoretical Model For Neutrino Decoherence and Relaxationmentioning

confidence: 99%

Quantum decoherence and relaxation in neutrinos using long-baseline data

Gomes¹,

Gomes²,

Peres³

2020

Preprint

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“…In the Holstein system, a bare electron is dressed by a cloud of bosonic excitations, and form a quasiparticle called polaron. Polaron dynamics in the Holstein model have been continuingly studied using the following variational method [52][53][54][55][56].…”

Section: Modelmentioning

confidence: 99%

“…The variational ansatz that we employ in this work is the multi-D2 Davydov ansatz [52,55,56], a superposition of electronic excitations and coherent states that takes the following form…”

Section: Multi-d2 Ansatzmentioning

confidence: 99%

“…In that respect we say that the method is numerically accurate within the theoretical model of the system. The method has been applied to a multitude of systems, including a Holstein model of polaron dynamics in the presence of external fields [54][55][56], phase transitions in the spin-boson model [57] or singlet fission model [58], a dissipative LZ model that is based on QED protocols [41,59] and other investigations in quantum optics [60,61].…”

Section: Introductionmentioning

confidence: 99%

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Polaron dynamics of Bloch–Zener oscillations in an extended Holstein model

et al. 2021

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Recent developments in qubit engineering make circuit quantum electrodynamics devices promising candidates for the study of Bloch oscillations (BOs) and Landau–Zener (LZ) transitions. In this work, a hybrid circuit chain with alternating site energies under external electric fields is employed to study Bloch–Zener oscillations (BZOs), i.e. coherent superpositions of BOs and LZ transitions. We couple each of the tunable qubits in the chain to dispersionless optical phonons and build an extended Holstein polaron model with the purpose of investigating vibronic effects in the BZOs. We employ an extension of the Davydov ansatz in combination with the Dirac–Frenkel time-dependent variational principle to simulate the dynamics of the qubit chain under the influence of high-frequency quantum harmonic oscillators. Band gaps emerge due to energy differences in site energies at alternating qubit sites, and are shown to play key roles in tuning band structures and time periodic reconstructions of the wave patterns. In the absence of qubit–phonon interactions, the qubits undergo either standard BZOs or breathing modes, depending on whether the initial wave packet is formed by a broad or narrow Gaussian wave packet, respectively. The BZOs can get localized in space if the band gaps are sufficiently large. In the presence of qubit–phonon coupling, the periodic behavior of BZOs can be washed out and undergo dynamic localization. The influence of an ohmic bath on the dynamics of BZOs is investigated by means of a Markovian master equation approach. Finally, we calculate the von Neumann entropy as a measure of the entanglement between qubits and phonons.

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Quantum decoherence and relaxation in long-baseline neutrino data

Gomes,

Peres

2023

J. High Energ. Phys.

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We investigate the effect of quantum decoherence and relaxation in neutrino oscillations using MINOS and T2K data. The formalism of open quantum systems is used to describe the interaction of a neutrino system with the environment, where the strength of the interaction is regulated by a decoherence parameter Γ. We assume an energy dependence parameterized by Γ = γ0(E/GeV)n, with n = −2, 0, +2, and consider three different scenarios, allowing the investigation of the effect of relaxation and of constraining the solar and atmospheric sectors to the same decoherence parameter. The MINOS and T2K data present a complementary behavior, with regard to our theoretical model, resulting in a better sensitivity for n = +2 and n = −2, respectively. We perform a combined analyses of both experimental data, which also include a reactor constraint on sin2θ13, and observe an independence of the results to the scenarios we investigate. Our analyses obtain limits on γ0 based on long-baseline data for scenarios allowing or not relaxation. We improve some previous bounds on γ0 and outline which data (solar, reactor, atmospheric, long-baseline) determine the more stringent constraints for different scenarios and energy dependencies.

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Entropic Uncertainty in Neutrino and Meson Systems

Cited by 4 publications

References 46 publications

Quantum decoherence and relaxation in neutrinos using long-baseline data

Quantum decoherence and relaxation in neutrinos using long-baseline data

Polaron dynamics of Bloch–Zener oscillations in an extended Holstein model

Quantum decoherence and relaxation in long-baseline neutrino data

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