Abstract

Memory effects result from history-dependent behavior of a system, are abundant in our daily life, and have broad applications. Here, two possibilities of generating memory effects are discussed
in simple isolated quantum systems. For non-interacting quantum gases, flat-bands are existed in certain class of lattice and consisting of localized state. By transforming optical lattice from triangular to kagome, history-dependent density distributions manifest quantum memory effects even in noninteracting systems. Secondly, systems with strong correlations can exhibit quantum memory effect as well. We simulate real-time dynamics of systems that undergo an interaction change only on half of the system, and compare situations with different initial state and different switching scheme. Starting from different initial states quenched to the same final configurations, memory of the initial quantum state can be observed. Those memory effects are from pure quantum origin and we will discuss possible experimental realizations.