Casimir and Casimir-Polder forces with dissipation from first principles

Bordag, M.

doi:10.1103/physreva.96.062504

Cited by 13 publications

(20 citation statements)

References 33 publications

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“…It is interesting to mention that in [30] it was seen that formulas like (22)- (24) give the complete free energy, i.e., including that of the polarizable fluid and the heat bath. It was also shown that this is the complete free energy of the system if the dissipation is switched off.…”

Section: Discussionmentioning

confidence: 99%

On the entropy of a spherical plasma shell

Bordag¹,

Kirsten²

2018

J. Phys. A: Math. Theor.

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Negative entropy was repeatedly observed in the Casimir effect caused by dissipation or geometry. However, it was restricted to subsystems. Recently the question about the entropy for a complete Casimir effect like configuration was raised. In the present paper we consider a spherical plasma shell which can be considered as a (crude) model for a giant carbon molecule (e.g., C 60 ). The entropy is free of ultraviolet divergences and its calculation does not need any regularization. We calculate the entropy numerically and demonstrate unambiguously the existence of a region where it takes negative values. This region is at small values of temperature and plasma frequency (in units of the inverse radius).

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Section: Discussionmentioning

confidence: 99%

On the entropy of a spherical plasma shell

Bordag¹,

Kirsten²

2018

J. Phys. A: Math. Theor.

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“…It has been used to study properties of quantum entanglement, long range effect of field correlations, Unruh effect etc. The spacetime curvature can alter the Casimir-Polder interaction [23][24][25] between the atoms [26] in two body OQS. The CPI in the de Sitter spacetime [27] has been investigated in detail in refs [15,[28][29][30].…”

Section: Assumption IVmentioning

confidence: 99%

Relating the curvature of De Sitter universe to open quantum Lamb shift spectroscopy

et al. 2021

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In this paper, we explore the connection between the curvature of the background De Sitter space-time with the spectroscopic study of entanglement of two atoms. Our set up is in the context of an Open Quantum System (OQS), where the two atoms, each having two energy levels and represented by Pauli spin tensor operators projected along any arbitrary direction. The system mimic the role of a pair of freely falling Unruh De-Witt detectors, which are allowed to non-adiabatically interact with a conformally coupled massless probe scalar field which has the role of background thermal bath. The effective dynamics of this combined system takes into account of the non-adiabatic interaction, which is commonly known as the Resonant Casimir Polder Interaction (RCPI) with the thermal bath. Our analysis revels that the RCPI of two stable entangled atoms in the quantum vacuum states in OQS depends on the de Sitter space-time curvature relevant to the temperature of the thermal bath felt by the static observer. We also find that, in OQS, RCPI produces a new significant contribution appearing in the effective Hamiltonian of the total system and thermal bath under consideration. We find that the Lamb shift is characterised by a decreasing inverse square power law behaviour, $$L^{-2}$$ L - 2 , when inter atomic Euclidean distance, L, is much larger than a characteristic length scale, k, which is the inverse surface gravity of the background De Sitter space. If the background space time would have been Minkowskian this shift decreases as, $$L^{-1}$$ L - 1 , and is independent of temperature. Thus, we establish a connection between the curvature of the De Sitter space-time with the Lamb shift spectroscopy.

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“…For an overview of the implications for Casimir-Polder interactions, see Reiche & al. (2020); Bordag (2017).…”

Section: A Derivation Of Hydrodynamic Parametersmentioning

confidence: 99%

No-slip boundary conditions for electron hydrodynamics and the thermal Casimir pressure

Hannemann,

Wegner,

Henkel

2021

Preprint

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We derive modified reflection coefficients for electromagnetic waves in the THz and far infrared range. The idea is based on hydrodynamic boundary conditions for metallic conduction electrons. The temperature-dependent part of the Casimir pressure between metal plates is evaluated. The results should shed light on the "thermal anomaly" where measurements deviate from the standard fluctuation electrodynamics for conducting metals.

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Casimir and Casimir-Polder forces with dissipation from first principles

Cited by 13 publications

References 33 publications

On the entropy of a spherical plasma shell

On the entropy of a spherical plasma shell

Relating the curvature of De Sitter universe to open quantum Lamb shift spectroscopy

No-slip boundary conditions for electron hydrodynamics and the thermal Casimir pressure

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