Thermal Effects in the Casimir Torque between Birefringent Plates

Abstract

The Casimir effect, originating from quantum and thermal fluctuations, is well known for inducing forces between closely spaced surfaces. When these surfaces are optically anisotropic, these interactions can produce a Casimir torque that rotates the surfaces relative to each other. We investigate, for the first time, the influence of thermal fluctuations on the Casimir torque between birefringent plates. Our results reveal that thermal modes significantly diminish the torque, with reductions up to 2 orders of magnitude for highly birefringent materials. Temperature is also shown to alter the angular dependence of the torque, significantly deviating from the typical sinusoidal behavior, and becomes particularly important at large separations that exceed the thermal wavelength. Finally, we demonstrate that systems of dissimilar birefringent plates that exhibit a distance-dependent reversal in the torque's direction can enable precise control of the torque's magnitude and sign through temperature manipulation. These findings advance our understanding of quantum and thermal fluctuation interplay and provide a framework for designing innovative nanoscale sensors and devices leveraging Casimir torque phenomena.

6 pages, 4 figures

References in corpus (10)

• The Casimir force between real materials: experiment and theory
• On the torque on birefringent plates induced by quantum fluctuations
• Thermal Casimir Effect in the Plane-Sphere Geometry
• Demonstration of an Unusual Thermal Effect in the Casimir Force from Graphene
• Giant Casimir torque between rotated gratings and the $\theta =0$ anomaly
• Casimir torque between nanostructured plates
• Distance-dependent sign-reversal in the Casimir-Lifshitz torque
• Quantum trapping and rotational self-alignment in triangular Casimir microcavities
• Recent measurements of the Casimir force: Comparison between experiment and theory
• Current status of the problem of thermal Casimir force