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Quantum Coherence in Non-Markovian Quantum Channels
Authors:Algarni  M  Berrada  K  Abdel-Khalek  S
Institution:1.Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia
;2.Department of Physics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia
;3.The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Trieste, Italy
;4.Department of Mathematics and Statistics, College of Science, Taif University, PO Box 11099, Taif, 21944, Saudi Arabia
;5.Department of Mathematics, Faculty of Science, Sohag University, Sohag, 82524, Egypt
;
Abstract:

We numerically simulate quantum coherence in a system of two qubits interacting with a reservoir for non-Markovian channels. The explicit form of the master equation is taken in terms of density-operator elements and is solved according to the initial conditions. In particular, we consider the effect of an Ohmic reservoir (OR) with Lorentz–Drude regularization (LDR) on the extent of coherence during dynamics. We describe the dynamical behavior of the coherence for low, intermediate, and high-temperature reservoirs. We explain the effect of the ratio of the cutoff frequency (CF) to the quantum system frequency and the effect of temperature on the quantum coherence. We show that a decreasing ratio enhances coherence, while an increasing temperature decreases it.

Keywords:
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