Nonlinear Odd Viscoelastic Effect

Area of Science:

• Condensed Matter Physics
• Quantum Mechanics
• Materials Science

Background:

• Viscoelasticity describes materials exhibiting both viscous and elastic characteristics.
• Nonlinear and odd viscoelastic effects are less understood, particularly in quantum systems.
• Geometric properties of quantum states play a crucial role in emergent phenomena.

Purpose of the Study:

• To uncover and characterize a new class of nonlinear odd viscoelastic effects.
• To elucidate the underlying mechanisms involving geometric distortions and quantum state geometry.
• To explore the potential for scaling these effects using topological invariants.

Main Methods:

• Theoretical investigation of nonlinear odd viscoelasticity in three spatial dimensions.
• Analysis of quantum states using geometric tensors, including nonmetricity and three-state quantum geometric tensors.
• Exploration of the relationship between geometric distortions and momentum flow.

Main Results:

• Identified dissipationless nonlinear odd viscoelastic effects arising from combined geometric distortions.
• Demonstrated that these effects originate from nontrivial geometric tensors in quantum states.
• Showed that the effects can be scaled using integer topological invariants and fingerprint multiband Hilbert-space geometry.

Conclusions:

• Unraveled the significant role of multistate geometry in viscoelastic phenomena.
• Established a theoretical framework for understanding nonlinear odd viscoelastic responses in quantum systems.
• Paved the way for experimental observation of these uncharted phenomena.