Abstract
Memory effect of time fractional Schrödinger equation plays a significant role in evolution of a single quantum state and quantum entanglement. We investigate the time fractional evolution of a single quantum state and entangled state respectively. Comparing to the results of standard Schrödinger equation, we find that the influence of memory action is unstable, which will change over time until the result is opposite to the initial effect. Our study might provide a new perspective on the role of time fractional Schrödinger equation.
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