title: Investigating Leggett-Garg inequality for a two level system under decoherence in a non-Markovian dephasing environment.
abstract: Leggett-Garg inequalities (LGI) test the correlations of a single system measured at different times. Violation of LGI implies either the absence of a realistic description of the system or the impossibility of measuring the system without disturbing it. We investigate the violation of the Leggett-Garg inequality for a two level system under decoherence in a non-Markovian dephasing environment. We discuss the non-Markovian dynamics of the violation of LGI at zero temperature and also at finite temperature for different structured environments. An enhanced quantum coherence is shown through the violation of Leggett-Garg inequality in the strong non-Markovian regime of the environment.
authors.affiliation: Physics Division, Institute of Nuclear Energy Research, Longtan, Taoyuan 32546, Taiwan.
authors.forename: Po-Wen
authors.initials: PW
authors.lastname: Chen
authors.affiliation: Department of Physics, National Cheng Kung University, Tainan 70101, Taiwan.
authors.forename: Md Manirul
authors.initials: MM
authors.lastname: Ali