Exploring Entanglement and Purity in a Coupled Spin-1/2 System Under a Quantum Zeno-like Effect

Abstract

We studied the dynamics of a system composed of two coupled spin-1/2 particles in the presence of an orthogonal magnetic field, where one of the spins is subject to a non-projective decay operator that drives transitions from the up to the down state, resulting in behavior analogous to the quantum Zeno effect. In this study, we simulated the system using the Lindblad master equation and the Monte Carlo wavefunction method to analyze how the transition frequency influences the degree of entanglement and purity of the system, as well as how the magnetic field affects the system’s dynamics under increasingly frequent transitions. This work not only aims to test a methodology for modeling interactions with the environment, but also seeks to understand the impact that quantum Zeno-like effects generate in few components systems, such as qubits. The results obtained suggest potential applications in quantum control, quantum error corrections and the calibration of quantum systems by tuning appropriate external parameters.