Antiperiodic wave functions of Schrödinger cat states for nano-magnets and the realization of macroscopic Fermi-particles

Abstract

The point-particle-like Hamiltonian of a biaxial nano-magnet is obtained in terms of the potential field description of quantum spins with exact spin coordinate correspondence. We demonstrate that the quenching of macroscopic quantum coherence (MQC) investigated in terms of the distractive topological phase interference of tunneling paths can be resulted directly from the antiperiodic wave functions of Schrödinger cat states of the nano-particle and is therefore regarded as the realization of a macroscopic Fermi-particle. We also prove the equivalence between the antiperiodic boundary condition of the wave function and the Wess–Zumino term in Lagrangian which leads to the topological phase of tunneling paths.