Memory Effects: Exceptional Points and Virtual States

AXEL D. DENTE; RAÚL A. BUSTOS MARÚN; HORACIO M. PASTAWSKI

La Falda, Córdoba, Argentina

Workshop; Mini-School on Disordred Systems 2008 and 6th International Workshop on Disordered Systems; 2008

Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía y Física

The quantum information theory requires the use of controlled gates. In this sense the effect of the environment over the system can change the behavior expected for the gate. Our work present a simple model in which the environment, change the behavior of the system. It allows us to see phase transitions such as the Exceptional Points (EP) [1][2] and the appearance of Virtual States [3]. We found an exact expression for the Local Density of States (LDoS) and characterized the dynamics of the Survival Probability in all the different regimes that we have determined. [1] M. Müller, F. M. Dittes, W. Iskra and I. Rotter, Phys. Rev. E 52, 5961 (1995). [2] G. A. Álvarez, E. P. Danieli, P. R. Levstein, and H. M. Pastawski, J. Chem. Phys. 124, 1 (2006).