2023/02/03 by Gurpahul Singh, Singh, Gurpahul, Ritesh K. Singh +3
Physics and Astronomy · Computer Science · #Spectroscopy and Quantum Chemical Studies #Quantum Mechanics and Non-Hermitian Physics #Quantum Information and Cryptography
paper · pdf · doi:10.48550/arxiv.2302.01898
Ever since the formulation of quantum mechanics, there is very little understanding of the process of the collapse of a wavefunction. We have proposed a dynamical model to emulate the measurement postulates of quantum mechanics. We postulate that a non-Hermitian Hamiltonian operates during the process of measurement, which evolves any state to an attracting equilibrium state, thus, mimicking a "collapse". We demonstrate this using a 2-level system and then extend it to an N-level system. For a 2-level system, we also demonstrate that the dynamics generated by the Lindblad master equation can be replicated as an incoherent sum of the evolution by two separate non-Hermitian Hamiltonians.