Wires with Quantum Memory

TL;DR

This paper explores how quantum particles constrained to deforming curves can acquire geometric phases, with an explicit example involving circle deformations and potential applications.

Contribution

It demonstrates that cyclic deformations of curves induce geometric phases in quantum particles, providing a new perspective on quantum memory effects.

Findings

Cyclic deformations lead to geometric phase accumulation.

Explicit example with circle deformations illustrates the phenomenon.

Potential applications in quantum information processing.

Abstract

We show that quantum particles constrained to move along curves undergoing cyclic deformations acquire, in general, geometric phases. We treat explicitly an example, involving particular deformations of a circle, and ponder on potential applications.