Explanation of 
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 and muon 
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Chen, Chuan Hung; Nomura, Takaaki; Okada, Hiroshi

doi:10.1103/physrevd.94.115005

Cited by 168 publications

(223 citation statements)

References 82 publications

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“…Alternative promising approaches towards calculation of the central-spin-model dynamics have been proposed, such as diagrammatic perturbation theory [51], exact time evolution [66], density matrix renormalization group (DMRG) methods [49,52,67], Monte Carlo methods [34], and approaches employing conserved quantities [68,69]. Each of these methods should be scrutinized as to how well they are suited and capable of capturing the mode locking effect.…”

Section: Discussionmentioning

confidence: 99%

Erratum: Quantum model for mode locking in pulsed semiconductor quantum dots [Phys. Rev. B 94 , 245308 (2016)]

Beugeling¹,

Uhrig²,

Anders³

2017

Phys. Rev. B

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Quantum dots in GaAs/InGaAs structures have been proposed as a candidate system for realizing quantum computing. The short coherence time of the electronic quantum state that arises from coupling to the nuclei of the substrate is dramatically increased if the system is subjected to a magnetic field and to repeated optical pulsing. This enhancement is due to mode locking: Oscillation frequencies resonant with the pulsing frequencies are enhanced, while off-resonant oscillations eventually die out. Because the resonant frequencies are determined by the pulsing frequency only, the system becomes immune to frequency shifts caused by the nuclear coupling and by slight variations between individual quantum dots. The effects remain even after the optical pulsing is terminated. In this work, we explore the phenomenon of mode locking from a quantum mechanical perspective. We treat the dynamics using the central spin model, which includes coupling to 10-20 nuclei and incoherent decay of the excited electronic state, in a perturbative framework. Using scaling arguments, we extrapolate our results to realistic system parameters. We estimate that the synchronization to the pulsing frequency needs time scales in the order of 1 s.

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Section: Discussionmentioning

confidence: 99%

Erratum: Quantum model for mode locking in pulsed semiconductor quantum dots [Phys. Rev. B 94 , 245308 (2016)]

Beugeling¹,

Uhrig²,

Anders³

2017

Phys. Rev. B

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“…In addition, there has been an extensive concern in finding exact solutions to the relativistic particles with various vector and scalar potential models [12][13][14]. The most commonly used techniques in solving the wave equations are the Nikiforov-Uvarov (NU) method [15,16], supersymmetric quantum mechanics (SUSYQM) method [17,18], the point canonical transformation [19,20], the asymptotic iteration method [21,22], the exact quantisation rule [23,24], the shifted N expansion technique (SNET) [25,26], the perturbative treatment approach [27], the analytical exact iteration method (AEIM) [28], and the quasiexactly solvable problems [29].…”

Section: Introductionmentioning

confidence: 99%

Dirac Bound States of the Killingbeck Potential Under External Magnetic Fields

Sharifi

Tajic

Hamzavi

et al. 2015

Zeitschrift Für Naturforschung A

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The Killingbeck potential model is used to study the influence of the external magnetic and AharanovBohm (AB) flux fields on the splitting of the Dirac energy levels in a 2+1 dimensions. The ground state energy eigenvalue and its corresponding two spinor components wave functions are investigated in the presence of the spin and pseudo-spin symmetric limit as well as external fields using the wave function ansatz method.

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“…For exhaustive lists of references on the LQ phenomenology one can consult reviews on the subject [7][8][9][10] or turn to the numerous studies of specific aspects of the LQ related physics [11][12][13][14][15][16][17]. The one-loop contributions towards neutrino masses that we study have been considered extensively in the literature [1,2,[18][19][20][21][22]. Our intention, in contrast to the existing studies, is to analyse possibilities to have a more fundamental origin of this mechanism and to provide several realistic examples.…”

Section: Introductionmentioning

confidence: 99%

Leptoquark mechanism of neutrino masses within the grand unification framework

2017

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We demonstrate the viability of the one-loop neutrino mass mechanism within the framework of grand unification when the loop particles comprise scalar leptoquarks (LQs) and quarks of the matching electric charge. This mechanism can be implemented in both supersymmetric and nonsupersymmetric models and requires the presence of at least one LQ pair. The appropriate pairs for the neutrino mass generation via the up-type and down-type quark loops are S 3 -R 2 and S 1, 3 -R 2 , respectively. We consider two distinct regimes for the LQ masses in our analysis. The first regime calls for very heavy LQs in the loop. It can be naturally realized with the S 1, 3 -R 2 scenarios when the LQ masses are roughly between 10 12 and 5 × 10 13 GeV. These lower and upper bounds originate from experimental limits on partial proton decay lifetimes and perturbativity constraints, respectively. Second regime corresponds to the collider accessible LQs in the neutrino mass loop. That option is viable for the S 3 -R 2 scenario in the models of unification that we discuss. If one furthermore assumes the presence of the type II seesaw mechanism there is an additional contribution from the S 3 -R 2 scenario that needs to be taken into account beside the type II see-saw contribution itself. We provide a complete list of renormalizable operators that yield necessary mixing of all aforementioned LQ pairs using the language of SU (5). We furthermore discuss several possible embeddings of this mechanism in SU (5) and SO(10) gauge groups. a

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Explanation of B→K(*)l+l− and muon

Cited by 168 publications

References 82 publications

Erratum: Quantum model for mode locking in pulsed semiconductor quantum dots [Phys. Rev. B 94 , 245308 (2016)]

Erratum: Quantum model for mode locking in pulsed semiconductor quantum dots [Phys. Rev. B 94 , 245308 (2016)]

Dirac Bound States of the Killingbeck Potential Under External Magnetic Fields

Leptoquark mechanism of neutrino masses within the grand unification framework

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