Exact dynamics of XX central spin models

Abstract

The dynamical behavior of a star network of spins, wherein each of N decoupled spins interact with a central spin through non uniform Heisenberg XX interaction is exactly studied. The time-dependent Schrodinger equation of the spin system model is solved starting from an arbitrary initial state. The resulting solution is analyzed and briefly discussed.

7 pages; accepted for publication in the Topical Issue of Physica Scripta: Proceedings of CEWQO08

References in corpus (2)

• Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
• Cloning transformations in spin networks without external control

Cited by in corpus (6)

• Integrability and dark states in an anisotropic central spin model
• Variance squeezing and entanglement of the XX central spin model
• Determining the validity of cumulant expansions for central spin models
• Non-Markovian dynamics in a spin star system: The failure of thermalization
• Quantum simulation of the central spin model with a Rydberg atom and polar molecules in optical tweezers
• Spin-chain-star systems: entangling multiple chains of spin qubits