%0 Journal Article %T Quantum Memory Effects in Disordered Systems and Their Relation to 1/f Noise %A Yonah Lemonik %A Igor Aleiner %J Physics %D 2014 %I arXiv %R 10.1103/PhysRevB.90.184203 %X We propose that memory effects in the conductivity of metallic systems can be produced by the same two levels systems that are responsible for the 1/f noise. Memory effects are extremely long-lived responses of the conductivity to changes in external parameters such as density or magnetic field. Using the quantum transport theory, we derive a universal relationship between the memory effect and the 1/f noise. Finally, we propose a magnetic memory effect, where the magneto-resistance is sensitive to the history of the applied magnetic field. %U http://arxiv.org/abs/1402.1525v1