2019/10/14 by Z. Saghafi, S. Samadi Rezaei, Saghafi, Z. +5
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Neural Networks and Applications #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #Time Series Analysis and Forecasting
paper · pdf · doi:10.48550/arxiv.1910.05951
openalex publication_date 2019/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
One-spin and two-spin in a thermodynamic limit spin-1/2 chain as open quantum systems are considered. The dynamics of system is generated by XX Heisenberg interaction and three-spin interaction (TSI) among all the nearest three spins in the chain. Two variety Hamiltonians of the three-spin interaction are considered. Using the fermionization technique and calculating the trace distance, non-Markovianity as a function of the TSI is evaluated, and the results for the two different open quantum systems are compared. In addition, the time behavior of the probability amplitudes are studied. The results show that if all probability amplitudes except one of them will almost vanish after some time, the dynamics of the open quantum system will be Markovian. In the non-Markovian dynamics, more than one of the probability amplitudes fluctuate in time and will never reach zero value.