Nonlocal interactions and quantum dynamics

Gainutdinov, Renat Kh.

doi:10.1088/0305-4470/32/30/311

Cited by 33 publications

(6 citation statements)

References 20 publications

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“…Maybe the discrepancy has unveiled a fundamental problem in bound-state QED which may be significant especially for strong bound-system as µp. For example there is an effort to apply the formalism of [35,36] to µp and H whose account for "non-local in time" interactions is leading to a new equation of motion and new insight into UV divergences for bound states.…”

Section: Discussionmentioning

confidence: 99%

The proton radius puzzle

Antognini¹,

Amaro²,

Biraben³

et al. 2011

J. Phys.: Conf. Ser.

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Section: Discussionmentioning

confidence: 99%

The proton radius puzzle

Antognini¹,

Amaro²,

Biraben³

et al. 2011

J. Phys.: Conf. Ser.

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“…In our investigation of the the problem, we use the generalized dynamical equation (GDE), which has been derived in [7] as the most general equation of motion consistent with the current concepts of quantum physics. This equation turned out an important tool for solving many problems in nuclear physics [8][9][10], quantum optics [11] and atomic physics [12].…”

Section: Methodsmentioning

confidence: 99%

Control of emission spectrum of a quantum dot coupled to phonon and electron reservoirs

Gainutdinov

Shirdelhavar

Mutygullina

et al. 2018

J. Phys.: Conf. Ser.

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Abstract. The influence of phonon and electron reservoirs on the spectral emission from a quantum-dot cavity system is investigated. The line shapes strongly depend on the energy dependence of the exciton self-energy function, that in turn depends on the tunneling rate. This allows one to control the light emission from a single quantum dot. IntroductionQuantum information technology requires the development of light sources, in which the photon number can be carefully controlled. Single photons can be generated through laser excitation [1][2][3][4][5]. However, for practical applications the electrical excitations are more preferable, and electro-luminescence from a single quantum dot (QD) within the intrinsic region of a p-i-n junction has been shown to act as an electrically driven single-photon source [6]. Quantum dots are embedded in a surrounding solid, and the carriers confined to the dot interact with their environment most notably with phonons. To control the spectral emission from exciton quantum dots the system can be coupled also to the electron reservoir. The additional interaction with the electron reservoirs can have a significant effect on the self-energy function of the semiconductor QD and its emission. In this paper, we show that the total self-energy function depends on the tunneling rate which by itself depends on the temperature, highness and thickness of the barrier, energy levels of the QD and the chemical potential of the lead. At the fixed thickness of the barrier between the QD and the lead, the tunneling rate Γ can be changed by tuning the voltage on the gate. This means that the spectral emission from the QD can be controlled.

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“…In our investigation we use the method [15] that allows one to solve the problem nonperturbatively. This method is based on the generalized dynamical equation (GDE) that has been derived in [15] as the most general dynamical equation consistent with the current concepts of quantum physics.…”

Section: Methodsmentioning

confidence: 99%

“…This method is based on the generalized dynamical equation (GDE) that has been derived in [15] as the most general dynamical equation consistent with the current concepts of quantum physics. Being equivalent to the Schrödinger equation in the case when the interaction in a quantum system is instantaneous, GDE allows one to extend dynamics to the case of nonlocal-in-time interactions.…”

Section: Methodsmentioning

confidence: 99%

Influence of the photonic crystal medium on the self-interaction of electrons

Gainutdinov

Khamadeev

Mohebbifar

et al. 2015

J. Phys.: Conf. Ser.

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Abstract. The self-interaction of an electron in the photonic crystal medium is investigated. We show that modification of the self-interaction of electrons in photonic crystals is very significant and, as a consequence, at some photon frequencies the electron-light interaction becomes effectively strong. IntroductionPhotonic crystals (PC) are periodic systems that consist of dielectrics with different refractive indices. Its periodic dielectric function yields a photonic band structure with photonic band gaps. It has been shown that such a structure leads to quantum effects, including the coherent control of the spontaneous emission [1], the appearance of photon-atom bound states [2][3][4][5], the non-Markovian character of radiative decay [6], enhanced quantum interference effects [7], the localization of superradiance near the photonic band edge [8] and the modification of Lamb shift [2,3,[9][10][11][12][13]. At the same time, in Ref. [14] it has been shown that there is a novel effect in PC medium which consists in the fact that the rest mass of an electron should change its value. Actually, this effect is another consequence of the periodic changing of the photonmatter interaction in the PC medium. The origin of the effect is the significant modification of the electromagnetic field in the PC medium. In this paper we investigate the influence of the modification of the photonic density of states (DOS) in PC on the self-interaction of electrons.

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Nonlocal interactions and quantum dynamics

Cited by 33 publications

References 20 publications

The proton radius puzzle

The proton radius puzzle

Control of emission spectrum of a quantum dot coupled to phonon and electron reservoirs

Influence of the photonic crystal medium on the self-interaction of electrons

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