Casimir-Lifshitz Force for Nonreciprocal Media and Applications to Photonic Topological Insulators
arXiv:1707.04577 · doi:10.1103/PhysRevA.96.062505
Abstract
Based on the theory of macroscopic quantum electrodynamics, we generalize the expression of the Casimir force for nonreciprocal media. The essential ingredient of this result is the Green's tensor between two nonreciprocal semi-infinite slabs including a reflexion matrix with four coefficients that mixes optical polarizations. This Green's tensor does not obey Lorentz's reciprocity and thus violates time-reversal symmetry. The general result for the Casimir force is analyzed in the retarded and nonretarded limits, concentrating on the influences arising from reflections with or without change of polarization. In a second step we apply our general result to a photonic topological insulator whose nonreciprocity stems from an anisotropic permittivity tensor, namely InSb. We show that there is a regime for the distance between the slabs where the magnitude of the Casimir force is tunable by an external magnetic field. Furthermore the strength of this tuning depends on the orientation of the magnetic field with respect to the slab surfaces.
arXiv comment14 pages, 9 figures
References in corpus (16)
- Topological Insulators
- Surface Electromagnetic Waves Thermally Excited: Radiative Heat Transfer, Coherence Properties and Casimir Forces Revisited in the Near Field
- Three-dimensional quantization of the electromagnetic field in dispersive and absorbing inhomogeneous dielectrics
- Tunable Casimir repulsion with three dimensional topological insulators
- Magnetic-field control of near-field radiative heat transfer and the realization of highly tunable hyperbolic thermal emitters
- Persistent Directional Current at Equilibrium in Nonreciprocal Many-Body Near Field Electromagnetic Heat Transfer
- Photon thermal Hall effect
- Casimir Interactions for Anisotropic Magnetodielectric Metamaterials
- Repulsive Casimir Effect with Chern insulators
- Effect of finite temperature and uniaxial anisotropy on the Casimir effect with three-dimensional topological insulators
- Casimir force acting on magnetodielectric bodies embedded in media
- Unified approach to QED in arbitrary linear media
- Casimir effect for thin films in QED
- Casimir-Polder Forces between Chiral Objects
- Casimir-Polder Shift and Decay Rate in the Presence of Nonreciprocal Media
- Impact of anisotropy on the interaction of an atom with a one-dimensional nano-grating
Cited by in corpus (19)
- Chiral Casimir Forces: Repulsive, Enhanced, Tunable
- Fluctuation-induced forces on an atom near a photonic topological material
- The quest for Casimir repulsion between Chern-Simons surfaces
- Spontaneous lateral atomic recoil force close to a photonic topological material
- Robust surface plasmon polaritons on gyrotropic interfaces
- Optical torque on a two-level system near a strongly nonreciprocal medium
- Casimir-Polder force and torque for anisotropic molecules close to conducting planes and their effects on CO
- Inducing and controlling rotation on small objects using photonic topological materials
- Equilibrium forces on non-reciprocal materials
- Zero Casimir Force in Axion Electrodynamics and the Search for a New Force
- Quantum electrodynamics of lossy magnetodielectric samples in vacuum: modified Langevin noise formalism
- Quantum sensing protocol for motionally chiral Rydberg atoms
- Maxwell Eigenmode approach to the Casimir-Lifshitz Torque
- Spontaneous Symmetry Breaking of Time-Reversal-Symmetry and Time-Crystal States in Chiral Atomic Systems
- Switching the sign of the Casimir force between two PEMC spheres
- Casimir effect for biaxial anisotropic plates with surface conductivity
- Spontaneous Rotational Symmetry Breaking in a Kramers Two-Level System
- Nonresonant Casimir-Polder repulsion with a monolayer topological insulator
- Searching Repulsive Casimir Forces Between Magneto-Electric Materials