Casimir interactions between two short-range Coulomb sources

Voronina, Yu.; Komissarov, I.; Sveshnikov, K. A.

doi:10.1016/j.aop.2019.02.014

Cited by 10 publications

(9 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The possibility of modifying the sign of Casimir-type forces (for example by manipulating the boundary fields) was recently considered in a number of contexts [21,[52][53][54][55][56][57][58][59][60]. The presently analyzed setup predicting their oscillations as function of dimensionality and actual vanishing at even values of d appears however entirely new and somewhat surprising.…”

Section: Discussion and Outlookmentioning

confidence: 99%

Thermodynamic Casimir forces in strongly anisotropic systems within the $N\to \infty$ class

Łebek

Jakubczyk

2021

SciPost Phys. Core

View full text Add to dashboard Cite

We analyze the thermodynamic Casimir effect in strongly anisotropic systems from the vectorial N\to\inftyN→∞ class in a slab geometry. Employing the imperfect (mean-field) Bose gas as a representative example, we demonstrate the key role of spatial dimensionality dd in determining the character of the effective fluctuation-mediated interaction between the confining walls. For a particular, physically conceivable choice of anisotropic dispersion relation and periodic boundary conditions, we show that the Casimir force at criticality as well as within the low-temperature phase is repulsive for dimensionality d\in (\frac{5}{2},4)\cup (6,8)\cup (10,12)\cup\dotsd∈(52,4)∪(6,8)∪(10,12)∪… and attractive for d\in (4,6)\cup (8,10)\cup \dotsd∈(4,6)∪(8,10)∪…. We argue, that for d\in\{4,6,8\dots\}d∈{4,6,8…} the Casimir interaction entirely vanishes in the scaling limit. We discuss implications of our results for systems characterized by 1/N>01/N>0 and possible realizations in the contexts of optical lattice systems and quantum phase transitions.

show abstract

Section: Discussion and Outlookmentioning

confidence: 99%

Thermodynamic Casimir forces in strongly anisotropic systems within the $N\to \infty$ class

Łebek

Jakubczyk

2021

SciPost Phys. Core

View full text Add to dashboard Cite

show abstract

“…Eqs. (23,24) are subject of crossing symmetry: under simultaneous change of the sign of external potential and energy Q → −Q , ǫ → −ǫ the pairs (u l , q l ) and (p l , v l ) interchange. This symmetry will be used further by calculation the VP-energy via phase integral method.…”

Section: Vp-energy In the Non-perturbative Approachmentioning

confidence: 99%

“…In (26) δ tot (l, k) is the total phase shift for the given values of the wavenumber k and orbital momentum l, including the contributions of the scattering states of the problem (23,24) from both continua and both parities.…”

Section: Vp-energy In the Non-perturbative Approachmentioning

confidence: 99%

See 1 more Smart Citation

Super-critical QED-effects via VP-energy

Sveshnikov¹,

Voronina²

2022

Preprint

Self Cite

View full text Add to dashboard Cite

The properties of the QED-vacuum energy EV P under Coulomb super-criticality condition Z > Zcr,1 are explored in essentially non-perturbative approach. It is shown that in the supercritical region EV P is the decreasing function of the Coulomb source parameters, resulting in decay into the negative range as ∼ −Z 4 /R. The conditions, under which the emission of vacuum positrons can be unambiguously detected on the nuclear conversion pairs background, are also discussed. In particular, for a super-critical dummy nucleus with charge Z and R(Z) ≃ 1.2 (2.5 Z) 1/3 fm the lowest 1s-level dives into the lower continuum at Zcr,1 ≃ 170 (the model of uniformly charged ball) or Zcr,1 ≃ 173 (the spherical shell model), whereupon there appears the vacuum shell with the induced charge (-2|e|) and the QED-vacuum becomes charged, but in both cases the actual threshold for reliable spontaneous positrons detection is not less than Z * ≃ 210.

show abstract

“…However, elaborated recently in Refs. [16] method of vacuum energy evaluation via logarithmic derivative of the Wronskian solves these problems quite effectively.…”

Section: Introductionmentioning

confidence: 99%

Ferromagnetic Phase in Graphene‐Based Planar Heterostructures Induced by Charged Impurity

Grashin

Sveshnikov

2019

Annalen der Physik

View full text Add to dashboard Cite

The spontaneous self-consistent generation of axial current and corresponding dipole-like magnetic field in a planar electron-positron system similar to graphene and related hetero-structures doped by charged impurity with charge Z is explored. It is shown that this effect takes place for Z ≥ Z * with Z * being a peculiar analogue of the Curie point in ferromagnetics. The properties of induced ferromagnetic state are studied in detail. It is shown also that the arising this way magnetic dipole leads to a significant decrease of the total Casimir (vacuum) energy of the system, which in turn provides its spontaneous generation above the "Curie point" Z ≥ Z * .

show abstract

Casimir interactions between two short-range Coulomb sources

Cited by 10 publications

References 46 publications

Thermodynamic Casimir forces in strongly anisotropic systems within the $N\to \infty$ class

Thermodynamic Casimir forces in strongly anisotropic systems within the $N\to \infty$ class

Super-critical QED-effects via VP-energy

Ferromagnetic Phase in Graphene‐Based Planar Heterostructures Induced by Charged Impurity

Contact Info

Product

Resources

About