Phononic phase gate with dark-soliton qubit

Abstract

We investigate a single as well as two dark-soliton qubits in a quasi one-dimensional Bose–Einstein condensates, surrounded by a dilute set of impurities. The qubits are driven externally with the help of oscillating magnetic field gradient, to observe the decay of populated states. The existence of Dicke superradiance and subradiance phenomenon, resulting from phonon-mediated coupling between dark-soliton qubit, enables to build a quantum phase gate. This is the first study on quantum gates mediated by phonons in dark-soliton qubit.