Charge-parity-violating effects in Casimir-Polder potentials

Buhmann, Stefan Yoshi; Marachevsky, Valery N.; Scheel, Stefan

doi:10.1103/physreva.98.022510

Cited by 17 publications

(10 citation statements)

References 51 publications

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“…There are a sequence of studies of the Casimir effect for surfaces characterized by the Chern-Simons electromagnetic action [24,74,[102][103][104], and a repulsive Casimir force is also predicted [24]. These surfaces can be identified with the limit of nondispersive conductivity in the Chern insulator, which we show in what follows.…”

Section: Nondispersive Chern Insulator: Chern-simons Surfacementioning

confidence: 71%

“…In the context of TRSB topological matter, the Casimir-Polder interaction between a molecule that violates the charge conjugation-parity symmetry (and thus also breaks time-reversal symmetry) and a TRSB material surface is investigated in Ref. [74]. For this scenario, the Casimir-Polder interaction has an additional term, which depends on the time-reversal odd-symmetric contributions to the polarizability tensor and the reflection Green tensor, which can be used to detect a putative violation of the charge conjugation-parity symmetry in molecules.…”

Section: Casimir-polder Interaction Between An Atom and A Topological Insulatormentioning

confidence: 99%

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The Casimir Effect in Topological Matter

2021

Universe

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We give an overview of the work done during the past ten years on the Casimir interaction in electronic topological materials, our focus being solids, which possess surface or bulk electronic band structures with nontrivial topologies, which can be evinced through optical properties that are characterizable in terms of nonzero topological invariants. The examples we review are three-dimensional magnetic topological insulators, two-dimensional Chern insulators, graphene monolayers exhibiting the relativistic quantum Hall effect, and time reversal symmetry-broken Weyl semimetals, which are fascinating systems in the context of Casimir physics. Firstly, this is for the reason that they possess electromagnetic properties characterizable by axial vectors (because of time reversal symmetry breaking), and, depending on the mutual orientation of a pair of such axial vectors, two systems can experience a repulsive Casimir–Lifshitz force, even though they may be dielectrically identical. Secondly, the repulsion thus generated is potentially robust against weak disorder, as such repulsion is associated with the Hall conductivity that is topologically protected in the zero-frequency limit. Finally, the far-field low-temperature behavior of the Casimir force of such systems can provide signatures of topological quantization.

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Section: Nondispersive Chern Insulator: Chern-simons Surfacementioning

confidence: 71%

Section: Casimir-polder Interaction Between An Atom and A Topological Insulatormentioning

confidence: 99%

The Casimir Effect in Topological Matter

2021

Universe

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“…Substituting the above formulas into Eqs. (16) and (24) it is found that the Casimir energy and torque are given by:   , so that the atom symmetry axis is aligned with the zdirection and the equilibrium ground state has the same rotational symmetry as the system (Fig. 4a, top).…”

Section: B Metal Surfacementioning

confidence: 99%

Spontaneous rotational symmetry breaking in a Kramers two-level system

Silveirinha

2019

Phys. Rev. B

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Here, I develop a model for a two-level system that respects the time-reversal symmetry of the atom Hamiltonian and the Kramers theorem. The two-level system is formed by two Kramers pairs of excited and ground states. It is shown that due to the spin-orbit interaction it is in general impossible to find a basis of atomic states for which the crossed transition dipole moment vanishes. The parametric electric polarizability of the Kramers two-level system for a definite ground-state is generically nonreciprocal. I apply the developed formalism to study Casimir-Polder forces and torques when the two-level system is placed nearby either a reciprocal or a nonreciprocal substrate. In particular, I investigate the stable equilibrium orientation of the two-level system when both the atom and the reciprocal substrate have symmetry of revolution about some axis. Surprisingly, it is found that when chiral-type dipole transitions are dominant the stable ground state is not the one in which the symmetry axes of the atom and substrate are aligned. The reason is that the rotational symmetry may be spontaneously broken by the quantum vacuum fluctuations, so that the ground state has less symmetry than the system itself.

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“…From (11) one can derive boundary conditions for a flat Chern-Simons layer at z = 0 in the vacuum [18] :…”

Section: Diffraction From a Chern-simons Layermentioning

confidence: 99%

“…Repulsive Casimir forces appear in interaction of two Chern-Simons layers due to mixing of TE and TM modes during diffraction process. The Casimir-Polder potential of a neutral anisotropic atom in the presence of a flat Chern-Simons layer was found in [10], charge-parity violating effects in Casimir-Polder potentials were studied in [11].…”

Section: Introductionmentioning

confidence: 99%