Recent progress in engineering the Casimir effect – applications to nanophotonics, nanomechanics, and chemistry

Gong, Tao; Corrado, Matthew R.; Mahbub, Ahmed; Shelden, Calum; Munday, Jeremy N.

doi:10.1515/nanoph-2020-0425

Cited by 84 publications

(62 citation statements)

References 151 publications

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“…The modulation of the Casimir force by changing the material properties has attracted attention [37]. An examples is the Casimir force between a gold sphere and Si membrane by irradiating laser pulses [38].…”

Section: Discussionmentioning

confidence: 99%

Casimir Effect between Superconducting Plates in the Mixed State

Inui

2021

Quantum Reports

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The Casimir effect between type-II superconducting plates in the coexisting phase of a superconducting phase and a normal phase is investigated. The dependence of the optical conductivity of the superconducting plates on the external magnetic field is described in terms of the penetration depth of the incident electromagnetic field, and the permittivity along the imaginary axis is represented by a linear combination of the permittivities for the plasma model and Drude models. The characteristic frequency in each model is determined using the force parameters for the motion of the magnetic field vortices. The Casimir force between parallel YBCO plates in the mixed state is calculated, and the dependence on the applied magnetic field and temperature is considered.

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Section: Discussionmentioning

confidence: 99%

Casimir Effect between Superconducting Plates in the Mixed State

Inui

2021

Quantum Reports

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“…inside and outside the physical system. Accordingly, its value diverges with frequency, it does not vanish at T = 0, it has never been measured directly but only through its effects, and in particular the Casimir effect that evidences an attractive or repulsive force acting between finite parts of the physical system [13], as predicted by Casimir in 1948 [6] for the simple case of two parallel perfect conducting plates.…”

Section: Quantum Photon Modelmentioning

confidence: 99%

Stefan-Boltzmann law revisited

Reggiani¹,

Alfinito²

2021

Preprint

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The Stefan-Boltzmann (SB) law relates the radiant emittance of an ideal black-body cavity at thermal equilibrium to the fourth power of the absolute temperature T as q = σT 4 , with σ = 5.67 × 10 −8 W m −2 K −4 the SB constant, firstly estimated by Stefan to within 11 per cent of the present theoretical value. The law is an important achievement of modern physics since, following Plnck (1901), its microscopic derivation implies the quantization of the energy related to the electromagnetic field spectrum. Somewhat astonishing, Boltzmann presented his derivation in 1878 making use only of electrodynamic and thermodynamic classical concepts, apparently without introducing any quantum hypothesis (here called first Boltzmann paradox). By contrast, the Boltzmann derivation implies two assumptions not justified within a classical thermodynamic approach, namely: (i) the zero value of the chemical potential and, (ii) the internal energy dependence from both temperature and volume. By using Planck (1901) quantization of the radiation field in terms of a gas of photons, the SB law received a microscopic interpretation free from the above assumptions that also provides the value of the SB constant on the basis of a set of universal constants including the quantum action constant h. However, the successive consideration by Planck (1912) concerning the zero-point energy contribution was found to be responsible of another divergence of the radiation energy-density for the single photon mode at high frequencies. This divergence is of pure quantum origin and is responsible for a vacuum-catastrophe, to keep the analogy with the well-known ultraviolet catastrophe of the classical black-body radiation spectrum, given by the Rayleigh-Jeans law in 1900. As a consequence, from a rigorous quantum-mechanical derivation we would expect the divergence of the SB law (here called second Boltzmann paradox). Here, both the Boltzmann paradoxes are revised by accounting for both the quantum-relativistic photon gas properties, and the Casimir force.

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“…Casimir effect is still nowadays explained via a more physical way using the nature of vacuum fluctuations, see for example reference [3], or via van der Waals forces [4]. There is a large amount of literature on the subject, see for a very small set of references [5][6][7], for general reviews on the subject nature and applications [8,9], and finally, a contemporary comprehensive discussion [10] shall be recommended. The present work is having to be considered nearer to the second option than to the first.…”

Section: Introductionmentioning

confidence: 99%