Localization in quantum systems with broken parities

Abstract

For quantum systems with broken parities, a transition can appear for any two different states, and cyclic transition structures can be generated for the lowest three levels. Based on these loop transitions, we discuss how to achieve high-precision localization effects for physical objects with broken parities, i.e. chiral molecules and asymmetric quantum wells. In a Δ-type three-level system interacting simultaneously with three external fields, one of which is a standing-wave field, the absorption spectrum carries information about the position of the objects. Moreover, we can achieve 100% probability of finding the objects at certain positions by choosing appropriate parameters. In addition, we present two possible implementations of the suggested scheme in a system comprising a mixture of left- and right-handed chiral molecules and asymmetric quantum wells and show how the phase-sensitive localization effect can be used to discriminate between enantiomeric molecules.