Trace Expressions and Associated Limits for Non-Equilibrium Casimir Torque
arXiv:2207.13646 · doi:10.1103/PhysRevA.106.042222
Abstract
We exploit fluctuational electrodynamics to present trace expressions for the torque experienced by arbitrary objects in a passive, non-absorbing, rotationally invariant background environment. Specializing to a single object, this formalism, together with recently developed techniques for calculating bounds via Lagrange duality, is then used to derive limits on the maximum Casimir torque that a single object with an isotropic electric susceptibility can experience when out of equilibrium with its surrounding environment. The maximum torque achievable at any wavelength is shown to scale in proportion to body volumes in both subwavelength (quasistatics) and macroscopic (ray optics) settings, and come within an order of magnitude of achievable torques on topology optimized bodies. Finally, we discuss how to extend the formalism to multiple bodies, deriving expressions for the torque experienced by two subwavelength particles in proximity to one another.
References in corpus (32)
- Outlook for inverse design in nanophotonics
- A Materials Perspective on Casimir and van der Waals Interactions
- Scattering Theory Approach to Electrodynamic Casimir Forces
- Near-field Radiative Heat Transfer in Many-Body Systems
- Inverse design in photonics by topology optimization: tutorial
- Trace formulae for non-equilibrium Casimir interactions, heat radiation and heat transfer for arbitrary objects
- Fundamental limits to optical response in absorptive systems
- Casimir-Lifshitz force out of thermal equilibrium
- Vacuum friction in rotating particles
- Quantum rotations of nanoparticles
- Non-equilibrium Fluctuational Quantum Electrodynamics: Heat Radiation, Heat Transfer, and Force
- Fluctuating volume-current formulation of electromagnetic fluctuations in inhomogeneous media: incandecence and luminescence in arbitrary geometries
- Casimir-Lifshitz force out of thermal equilibrium and asymptotic non-additivity
- Non-equilibrium Casimir forces: Spheres and sphere-plate
- Observation of radiation torque shot noise on an optically levitated nanodumbbell
- Total Angular Momentum Waves for Scalar, Vector, and Tensor Fields
- Heat radiation and transfer for point particles in arbitrary geometries
- Fundamental limits to radiative heat transfer: the limited role of nanostructuring in the near field
- Computational Bounds For Photonic Design
- Magneto-thermoplasmonics: from theory to applications
- Computational bounds to light-matter interactions via local conservation laws
- On the Computation of Power in Volume Integral Equation Formulations
- Casimir-Lifshitz force out of thermal equilibrium between dielectric gratings
- Global operator bounds on electromagnetic scattering: Upper bounds on far-field cross sections
- Near field propulsion forces from nonreciprocal media
- -operator bounds on angle-integrated absorption and thermal radiation for arbitrary objects
- Fundamental limits to attractive and repulsive Casimir--Polder forces
- Heuristic Methods and Performance Bounds for Photonic Design
- Hierarchical Mean-Field Operator Bounds on Electromagnetic Scattering: Upper Bounds on Near-Field Radiative Purcell Enhancement
- Casimir forces between cylinders at different temperatures
- Anisotropic particles near surfaces: Self-propulsion and friction
- Thermal equilibrium spin torque: Near-field radiative angular momentum transfer in magneto-optical media
Cited by in corpus (5)
- Transport in electron-photon systems
- Photon mediated energy, linear and angular momentum transport in fullerene and graphene systems beyond local equilibrium
- Quantum Self-Propulsion of an Inhomogeneous Object out of Thermal Equilibrium
- Spontaneous Torque on an Inhomogeneous Chiral Body out of Thermal Equilibrium
- Optothermal rotation of micro-/nano-objects in liquids