Efficient computation of Casimir interactions between arbitrary 3D objects.

Area of Science:

• Theoretical physics
• Quantum field theory
• Nanotechnology

Background:

• The Casimir effect describes a quantum mechanical force arising from vacuum fluctuations.
• Calculating Casimir forces for complex geometries remains a significant computational challenge.

Purpose of the Study:

• To introduce an efficient computational technique for determining Casimir energies and forces.
• To enable calculations for arbitrarily complex 3D objects, including those with sharp corners and non-axisymmetric shapes.

Main Methods:

• Development of a novel computational approach for Casimir energy and force calculations.
• Application of the technique to geometries beyond simple spheres or cylinders.

Main Results:

• The method efficiently computes Casimir energies and forces for complex 3D geometries.
• First predictions of Casimir interactions for crossed cylinders and tetrahedral nanoparticles are presented.
• The technique demonstrates robustness in handling nonspheroidal and nonaxisymmetric objects.

Conclusions:

• The introduced technique offers a versatile and efficient tool for studying Casimir interactions.
• This work opens avenues for experimental investigations of Casimir forces in new material configurations.