6533b858fe1ef96bd12b57d7

RESEARCH PRODUCT

Dynamical behaviour of an XX central spin model through Bethe ansatz techniques

Anna NapoliElena FerraroMaria Anastasia JivulescuMaria Anastasia JivulescuAntonino Messina

subject

PhysicsExact solutions in general relativityQuantum mechanicsSpin modelTime evolutionCondensed Matter::Strongly Correlated ElectronsStatistical and Nonlinear PhysicsMathematical PhysicsBethe ansatzMathematical physicsSpin-½

description

Following the Bethe ansazt procedure the exact dynamics of an XX central spin model is revealed. Particular initial conditions are analyzed and the consequent time evolution is compared with the exact solution obtained by solving the time-dependent Schrudinger equation. The interest towards spin systems and in particular central spin systems, is motivated by the recent developments in more applicative contexts.

https://doi.org/10.1016/s0034-4877(09)90036-2