Nonlinear Odd Viscoelastic Effect

TL;DR

This paper uncovers a new class of nonlinear, dissipationless odd viscoelastic effects in three-dimensional quantum systems, linking multistate geometry to novel viscoelastic responses with potential experimental implications.

Contribution

It reveals how geometric tensors in quantum states give rise to nonlinear odd viscoelastic effects, connecting topology and multistate geometry to viscoelastic phenomena.

Findings

Identification of dissipationless nonlinear odd viscoelastic effects in 3D quantum systems

Demonstration of the role of multistate geometric tensors in these effects

Potential for experimental observation of new viscoelastic responses

Abstract

We uncover a class of nonlinear odd viscoelastic effects in three spatial dimensions. We show that these dissipationless effects arise upon combining strains in two orthogonal directions, yielding momentum flow in the third direction. We demonstrate that the effect arises from nontrivial geometric tensors in quantum states, and can be scaled up with integer topological invariants. We further demonstrate that the effect fingerprints the multiband Hilbert-space geometry of underlying quantum states, as encoded in three-state geometric tensors. Our findings unravel the role of multistate geometry in viscoelastic phenomena, paving a path for experimental observation of uncharted nonlinear odd viscoelastic responses in quantum systems.