DEP-Applied-Physics-and-Astronomy
DEP-Applied-Physics-and-Astronomy-MOB

Noora Ali Mohammed

Ergodicity Breakdown in 1D Long-range Interacting Spin-1/2 XY Chain with Quench Dynamics

We investigated the ergodic properties of a finite chain of interacting spin-1/2 systems under the effect of an external time-dependent quenching magnetic field with open boundary conditions. Our analysis focusesd on the system’s ability to explore all possible configurations in its phase space. Using a range of analytical and numerical techniques, we examined the effect of the interaction range on the ergodic properties of the system, analyzing the magnetization and spin-spin correlation in both Ising systems (γ = 1) and XY systems (γ = 0.5). We showed that the system under the long-range interaction exhibited a significant change in its ergodic behavior compared with the short range case. The ergodic region extended beyond the usual critical point of the XY chain, which indicates that under the long range interaction, the phase diagram changes considerably and the critical point shifts towards higher values of the magnetic field.

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