Our approach to generating CVCs relies on control over the phase of the excitonic wavefunction. When the state of an exciton has a distinct phase, its coupling to other excitonic states can depend on this phase. Through this dependence, the coupling elements between excitonic states can be complex-valued. The challenges we address in this work are thus to determine (1) how to design systems of chromophores that support excitons with controllable phase, and (2) how to formulate the intermolecular coupling so that it includes the effects of this phase. This manuscript is organized as follows. We begin, in the next section, with a brief review of the topic of phase in quantum systems. Then, in Sec. 3 we introduce a system of two chromophores capable of generating CVCs. We formalize this system using the Frenkel-Dovydov model and simulate the emergence of CVC via optical excitation with circularly polarized light. In Sec. 4, we present several model systems capable of manipulating the directional flow of excitons with CVCs. Finally, prior to concluding, we discuss some effects of non-ideality on the performance of these systems.