GEOMETRIC PHASE AND MACROSCOPIC ENTANGLEMENT

Quantum Entanglement plays a pivotal role in quantum physics. In the con-text of observable entanglement, it is important to learn the distinction between microscopic and macroscopic systems. In the usual quantum mechanics, the Hamiltonian is a Hermitian matrix with real energy eigenvalues and the ob-servables are Hermitian operators. However, there is a recently proposed less restrictive theory of Non-Hermitian quantum mechanics with a strong candida-ture of real world applications of quantum physics. A quantum system evolved under a Hermitian Hamiltonian, gains a phase due to the geometric nature of the parameter space of the Hamiltonian. In this work, we attempt to connect the entanglement of macroscopic state with geometric phase for a Hermitian evolution through a similarity transform of a Non-Hermitian Hamiltonian. Our work extends the idea of witnessing entanglement using geometric phase for a particular macroscopic system under the non-Hermitian formalism, under certain conditions