Spin Dynamics of Supramolecular Dimer Mn₄₂ Interacting With a Spin-polarized Electron

A new family of the supramolecular antiferromagnetically exchange-coupled dimer of single-molecules magnets, Mn₄₂, really behave as a quantum mechanical coupled system and can be used for quantum computation Tiron et al (2003) Phys. Rev. Lett. 91 227203. We study the time evolution of Mn₄₂ dimer interacting with an injected electron by solving the time-dependent Schrödinger equations. We find that the variations of Mn₄₂ dimer magnetization and the electron spin crucially depend on the exchange interaction strength. Time evolution of the entanglement between the injected electron and supramolecular dimer Mn₄₂ is evaluated. It is observed that entanglement oscillates in time and is closely related to the spin variation of injected electron. From these characteristics the technique for the reversing and read-out of supramolecular dimer Mn₄₂ spin states is suggested.