Electromagnetic field quantization in the presence of a rotating body

Kheirandish, Fardin; Ameri, Vahid

doi:10.1103/physreva.89.032124

Phys. Rev. A

2014

DOI: 10.1103/physreva.89.032124

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Electromagnetic field quantization in the presence of a rotating body

Fardin Kheirandish

Vahid Ameri

Abstract: Starting from a Lagrangian, the electromagnetic field is quantized in the presence of a body rotating along its axis of symmetry. Response functions and fluctuation-dissipation relations are obtained. A general formula for rotational friction and power radiated by a rotating dielectric body is obtained in terms of the dyadic Green's tensor. Hamiltonian is determined and possible generalizations are discussed. As an example, the rotational friction and power radiated by a spherical dielectric in the vicinity of… Show more

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Cited by 4 publications

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“…A feature guaranteeing the consistency of the approach, is the coincidence of the results obtained here with the previous results [8,15] for the case ω 0 = 0 or when ω 0 Γ, where ω 0 and Γ(1/τ ) are the angular velocity of the rotation and relaxation frequency(time) respectively. Actually, in this case the rotating and non-rotating particle have the same spectrum.The Lagrangian describing the whole system is the Lagrangian of the electromagnetic vacuum field plus terms modeling the dielectrics and their interaction with the electromagnetic vacuum field by continuum of harmonic oscillators [16,17]. The rotating nanoparticle and the semiinfinite bulk interact with the electromagnetic vacuum field and the radiation heat transfer happens during this indirect interaction.…”

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confidence: 99%

“…In the body frame of the nanoparticle, the coupling tensor f ij is time independent and diagonal, corresponding to setting ω 0 = 0. In this frame, the response functions denoted by χ 0 kj (ω) can be obtained in terms of the diagonal components of the coupling tensor as [17]…”

mentioning

confidence: 99%

“…The Lagrangian describing the whole system is the Lagrangian of the electromagnetic vacuum field plus terms modeling the dielectrics and their interaction with the electromagnetic vacuum field by continuum of harmonic oscillators [16,17]. The rotating nanoparticle and the semiinfinite bulk interact with the electromagnetic vacuum field and the radiation heat transfer happens during this indirect interaction.…”

mentioning

confidence: 99%

“…The radiative heat transfer for a static point like particle has been studied widely [8,9,18]. Following the method introduced in [17], we study the heat transferred to the rotating nanoparticle and its physical consequences.…”

mentioning

confidence: 99%

“…The equations of motion for the electromagnetic and matter fields can be obtained from Euler-Lagrange equations or equivalently from Hamiltonian, using Heisenberg equations. By making use of the azimuthal symmetry and nonrelativistic approximation, we find [17] P P (r, ω) = P N P (r, ω)…”

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Radiative heat transfer between a rotating nanoparticle and a plane surface

2015

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Based on a microscopic approach, we propose a Lagrangian for the combined system of a rotating dielectric nanoparticle above a plane surface in the presence of electromagnetic vacuum fluctuations. In the framework of canonical quantization, the electromagnetic vacuum field is quantized in the presence of dielectric fields describing the nanoparticle and a semi-infinite dielectric with planar interface. The radiative heat power absorbed by the rotating nanoparticle is obtained and the result is in agreement with previous results when the the rotational frequency ω0 of the nanoparticle is zero or much smaller than the relaxation frequency of the dielectrics. The well known near field effect is reexamined and discussed in terms of the rotational frequency. The radiative heat power absorbed by the nanoparticle for well-known peak frequencies, is plotted in terms of the rotational frequency ω0 showing an interesting effect resembling a phase transition around a critical frequency Γ, determined by the relaxation frequency of the dielectrics.Recent developments of nanotechnology and nanoscale devices like scanning thermal microscopes [1][2][3] have raised a lot of questions in the well-known category of near field effects. Radiative Heat Transfer (RHT) between two objects, like a tip of microscope near to a substrate, [4,5] is one of these challenging problems. This problem has been studied in some special cases like two semi-infinite bodies [6,7] and a point like particle close to a plane interface [8,9]. Since the particle radius, in this case, is much smaller than the Wien wavelength of thermal radiation, the spectra of radiation differs significantly from the macroscopic body radiation like black body [10].While investigating these static nanoscale effects have attracted a lot of interests, adding motion and studying them dynamically, where it could raise some interesting quantum effects, like quantum friction [11,12] and dynamical Casimir effect [13], is more challenging.The aim of the present work is to drive the radiative heat power absorbed by a dielectric nanoparticle rotating along it's axis of symmetry above a plane interface (FIG. 1), in the framework of the canonical field quantization approach. The approach is a generalization of the scheme introduced in [14]. For this purpose, we first find the explicit form of the quantized electromagnetic and also dielectric fields using Heisenberg equations of motion in nonrelativistic regime (velocity of a point on the surface of the nanoparticle is much less than the speed of light), then the derivation of the radiation heat power absorbed by the nanoparticle is a straightforward problem in this scheme. A general formula for the radiation heat absorbed by a rotating nanoparticle above a plane surface is obtained and the effect of rotation on the absorbed radiation heat is studied. A feature guaranteeing the consistency of the approach, is the coincidence of the results obtained here with the previous results [8,15] for the case ω 0 = 0 or when ω 0 Γ, where ω 0 and ...

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confidence: 99%

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confidence: 99%

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confidence: 99%

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confidence: 99%

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Radiative heat transfer between a rotating nanoparticle and a plane surface

2015

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The effect of rotation on the heat transfer between two nanoparticles

Ameri

Eghbali-Arani

2017

Eur. Phys. J. D

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Quantizing the electromagnetic vacuum and medium fields of two nanoparticles, we investigate the heat transfer between them. One of the particles has been considered to rotate by angular velocity ω0. The effect of rotation on the absorbed heat power by the rotating nanoparticle is discussed. The results for angular velocities much smaller than the relaxation frequency Γ of the dielectrics are in agreement with the static nanoparticles, however increasing the angular velocity ω0 in comparison to the relaxation frequency of the dielectrics (ω0 Γ) generates two sidebands in the spectrum of the absorbed heat power. The well-known near-field and far-field effects are studied and it is shown that the sidebands peaks in far-field are considerable in comparison to the main peak frequency of the spectrum.Development of nanotechnology in a wide variety of physical, chemical, biological, and medical contexts, especially in the case of rotating nanoparticles (NPs), has raised great interest. Using rotating NPs for targeting cancer cells could be one of the most important applications of them [1][2][3]. Trapping and rotating NPs have been studied intensely using different methods [4][5][6]. Besides the important biomedical applications of rotating NPs, the effect of them also considered in some other cases e.g, on the instability of dust-acoustic waves [7].Heat transfer in the nanoscale has been studied in a variety of nanofluids [8][9][10], nano to macro scales [11,12], systems of a plane surface and NPs [13][14][15][16], between two NPs [17], between moving bodies [18], two parallel metallic surfaces [19,20], two nanowires [21], and heating of NPs [22]. As the rotation of nanoparticles is getting important, one can ask, how does the rotation affect the heat transfer of NPs? It has been shown that the heat transfer absorbed by rotating NP from a plane surface could be changed [13].The aim of this work is to find the effect of rotation on the heat transfer between two NPs. To this aim, we consider a system of two NPs where one is located at the origin and the other one rotating along its axis of symmetry (axis z) and located on axis z a distance d from the origin (Fig.1).Using the canonical field quantization approach, we find the explicit form of the quantized electromagnetic and dielectric fields in the non-relativistic regime, then the heat power absorbed by rotating NP is easy to derive in this scheme. A general formula for the heat power absorbed by a rotating NP from a static NP is obtained and the effect of rotation is discussed. * Electronic address: vahameri@gmail.com I. ELECTROMAGNETIC FIELD QUANTIZATIONThe Lagrangian describing the whole system contain a term represent the electromagnetic vacuum field plus terms modelling the dielectrics and their interaction with the electromagnetic vacuum field. Following the method introduced in [13,23], we study the heat transfer to the rotating NP and its physical consequences.We consider the following Lagrangian for the mentioned system, arXiv:1608.02271v2 [cond-mat.mes-hall]

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Rotational synchronization of two noncontact nanoparticles

Ameri

Eghbali-Arani

2017

J. Opt. Soc. Am. B

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Proposing a system of two rotatable nanoparticles (NPs) in the presence of electromagnetic vacuum fluctuations, using the framework of canonical quantization, the electromagnetic and matter fields have been quantized. The non-contact frictional torque, affecting the rotation of NPs due to the presence of electromagnetic vacuum fluctuations and also by the matter field fluctuations have been derived. Considering the distance between NPs less than 100 nm in the near-field, we observe the rotations are phase locked. It has been shown that the electromagnetic vacuum fluctuations play the role of noises to break down the synchronization. Also surprisingly, we find the frictional torque between NPs in the near-field is much bigger than the popular contact friction between them where it causes a robust synchronization in the near-field.

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Electromagnetic field quantization in the presence of a rotating body

Cited by 4 publications

References 45 publications

Radiative heat transfer between a rotating nanoparticle and a plane surface

Radiative heat transfer between a rotating nanoparticle and a plane surface

The effect of rotation on the heat transfer between two nanoparticles

Rotational synchronization of two noncontact nanoparticles

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