Quantum Quintom Cosmology

Abstract: This work applies the principles of quantum cosmology to examine models incorporating a quintom field. Specifically, three distinct models are analyzed: a simplified toy model, a model featuring an exponential quintom potential, and one where the quintom field is coupled with a negative cosmological constant. For each case, we study the classical trajectories within the configuration space, present solutions to the Wheeler-DeWitt equation in quantum cosmology, and discuss physical interpretations and consequences. A key focus is the behavior of wave packets in the minisuperspace framework. Notably, the correspondence principle (connection between classical and quantum solutions) is also demonstrated.