Casimir forces out of thermal equilibrium near a superconducting transition

Castillo-López, S. G.; Esquivel‐Sirvent, R.; Pirruccio, Giuseppe; Villarreal, Cuauhtémoc Calderón

doi:10.1038/s41598-022-06866-5

Cited by 10 publications

(8 citation statements)

References 38 publications

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“…In each figure, the bottom, middle, and top lines are plotted for the graphene-plate temperature T g = 77 K, 300 K, and 500 K, respectively. In Figures 6(a from an ideal metal plane (32), whereas in Figures 6(b) and 7(b) -to the classical limit of the Casimir-Polder force F cl from an ideal metal plane (34).…”

Section: Nonequilibrium Casimir-polder Force From Fused Silica Plate ...mentioning

confidence: 99%

Nonequilibrium Casimir–Polder Interaction between Nanoparticles and Substrates Coated with Gapped Graphene

Korikov¹,

Mostepanenko

Tsybin

2023

Symmetry

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The out-of-thermal-equilibrium Casimir–Polder force between nanoparticles and dielectric substrates coated with gapped graphene is considered in the framework of the Dirac model using the formalism of the polarization tensor. This is an example of physical phenomena violating the time-reversal symmetry. After presenting the main points of the used formalism, we calculate two contributions to the Casimir–Polder force acting on a nanoparticle on the source side of a fused silica glass substrate coated with gapped graphene, which is either cooler or hotter than the environment. The total nonequilibrium force magnitudes are computed as a function of separation for different values of the energy gap and compared with those from an uncoated plate and with the equilibrium force in the presence of graphene coating. According to our results, the presence of a substrate increases the magnitude of the nonequlibrium force. The force magnitude becomes larger with higher and smaller with lower temperature of the graphene-coated substrate as compared to the equilibrium force at the environmental temperature. It is shown that, with increasing energy gap, the magnitude of the nonequilibrium force becomes smaller, and the graphene coating makes a lesser impact on the force acting on a nanoparticle from the uncoated substrate. Possible applications of the obtained results are discussed.

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Section: Nonequilibrium Casimir-polder Force From Fused Silica Plate ...mentioning

confidence: 99%

Nonequilibrium Casimir–Polder Interaction between Nanoparticles and Substrates Coated with Gapped Graphene

Korikov¹,

Mostepanenko

Tsybin

2023

Symmetry

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“…The theory of nonequilibrium Casimir and Casimir-Polder forces was further generalized to the case of nonplanar configurations [56][57][58][59][60] and for the plate materials with temperature-dependent dielectric permittivities [61][62][63][64][65]. It was also confirmed experimentally by measuring the nonequilibrium Casimir-Polder force between the Bose-Einstein condensate of 87 Rb atoms and a SiO 2 plate, which was heated as compared to the environmental temperature [66].…”

Section: Introductionmentioning

confidence: 85%

Nonequilibrium Casimir–Polder Force between Nanoparticles and Graphene-Coated Silica Plate: Combined Effect of the Chemical Potential and Mass Gap

Klimchitskaya,

Korikov,

Mostepanenko

2024

Symmetry

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The Casimir–Polder force between spherical nanoparticles and a graphene-coated silica plate is investigated in situations out of thermal equilibrium, i.e., with broken time-reversal symmetry. The response of the graphene coating to the electromagnetic field is described on the basis of first principles of quantum electrodynamics at nonzero temperature using the formalism of the polarization tensor in the framework of the Dirac model. The nonequilibrium Casimir–Polder force is calculated as a function of the mass-gap parameter, the chemical potential of graphene, and the temperature of the graphene-coated plate, which can be both higher or lower than that of the environment. It is shown that the force value increases with the increasing chemical potential, and this increase is more pronounced when the temperature of a graphene-coated plate is lower than that of the environment. The nonequilibrium force also increases with increasing temperature of the graphene-coated plate. This increase is larger when the plate is hotter than the environment. The effect is revealed that the combined impact of the chemical potential, μ, and mass gap, Δ, of the graphene coating depends on the relationship between Δ and 2μ. If 2μ>Δ, the magnitude of the nonequilibrium force between nanoparticles and a cooled graphene-coated plate becomes much larger than for a graphene coating with μ=0. The physical reasons explaining this effect are elucidated. Possible applications of the obtained results are discussed.

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“…This suggests that the use of high-temperature superconductors (HTSCs), with T c ≈ 100 K, could constitute a suitable alternative to perform a direct analysis of the effect of the SC transition on the Casimir effect. In previous works, we investigated the Casimir forces between objects made of optimally doped YBa 2 Cu 3 O 7−δ (YBCO), with T c = 93 K , either in thermal [25], or out of thermal equilibrium [26]. In the first case, we found that the Casimir force displays an abrupt increment as the T → T c , for temperatures T > T c .…”

Section: Of 12mentioning

confidence: 98%

Casimir Forces with Periodic Structures: Abrikosov Flux Lattices

Castillo-López,

Esquivel-Sirvent,

Pirruccio

et al. 2023

Preprint

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We investigate the influence of the Abrikosov vortex lattice on the Casimir force in a setup constituted by high-temperature superconductors subject to an external magnetic field. The Abrikosov lattice is a property of type II superconductors in which normal and superconducting carriers coexist and these latter define a periodic pattern with squared symmetry. We find that the optical properties determined by spatial redistribution of the superconducting order parameter induce Casimir forces with a periodic structure whose minimal strengths coincide with the vortex cores.

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Casimir forces out of thermal equilibrium near a superconducting transition

Cited by 10 publications

References 38 publications

Nonequilibrium Casimir–Polder Interaction between Nanoparticles and Substrates Coated with Gapped Graphene

Nonequilibrium Casimir–Polder Interaction between Nanoparticles and Substrates Coated with Gapped Graphene

Nonequilibrium Casimir–Polder Force between Nanoparticles and Graphene-Coated Silica Plate: Combined Effect of the Chemical Potential and Mass Gap

Casimir Forces with Periodic Structures: Abrikosov Flux Lattices

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