Geometry-induced memory effects in isolated quantum systems: Observations and applications
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.
Cite
@article{arxiv.1510.08978,
title = {Geometry-induced memory effects in isolated quantum systems: Observations and applications},
author = {Chen-Yen Lai and Chih-Chun Chien},
journal= {arXiv preprint arXiv:1510.08978},
year = {2016}
}
Comments
13 pages, 11 figures, update figures and references. We provided one more application - quantum memory effects atomic memory (QMEAM)