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.

13 pages, 11 figures, update figures and references. We provided one more application - quantum memory effects atomic memory (QMEAM)

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Cited by in corpus (9)

• OpenMP GNU and Intel Fortran programs for solving the time-dependent Gross-Pitaevskii equation
• Tunable current circulation in triangular quantum-dot metastructures
• Anti-$\mathcal{P}\mathcal{T}$ flatbands
• Boundary-induced dynamics in 1D topological systems and memory effects of edge modes
• Quantification of the memory effect of steady-state currents from interaction-induced transport in quantum systems
• Hysteresis of noninteracting and spin-orbit coupled atomic Fermi gases with relaxation
• On the adiabatic theorem when eigenvalues dive into the continuum
• Ultrafast X-ray Absorption Spectroscopy of Strongly Correlated Systems: Core Hole Effect
• Flat bands in tight-binding lattices with anisotropic potentials