Geometry-induced memory effects in isolated quantum systems: Observations and applications

TL;DR

This paper demonstrates how geometrical effects in optical lattices can induce quantum memory effects in isolated ultracold atom systems, with potential applications in quantum sensing and control.

Contribution

It introduces a method to generate quantum memory effects using lattice geometry transformations, specifically from triangular to kagome lattices, in noninteracting ultracold atoms.

Findings

Memory effects observed in ultracold atoms during lattice transformation

Quantum memory effects occur in both fermionic and bosonic systems

Proposed applications include accelerometers and memvalves

Abstract

Memory effects can lead to history-dependent behavior of a system, and they are ubiquitous in our daily life and have broad applications. Here we explore possibilities of generating memory effects in simple isolated quantum systems. By utilizing geometrical effects from a class of lattices supporting flat-bands consisting of localized states, memory effects could be observed in ultracold atoms in optical lattices. As the optical lattice continuously transforms from a triangular lattice into a kagome lattice with a flat band, history-dependent density distributions manifest quantum memory effects even in noninteracting systems, including fermionic as well as bosonic systems in the proper ranges of temperatures. Rapid growth in ultracold technology predicts a bright future for quantum memory-effect systems, and here two prototypical applications of geometry-induced quantum memory effects are proposed: An accelerometer recording the mechanical change rate in a coupled system and a rate-controlled memvalve where the rate of ramping the lattice potential acts as a control of the remnant density in the lattice.