We propose and theoretically analyze a simple system that hosts novel quantum wounds due to particle-particle interactions. Consider three repulsively interacting identical quantum particles in a circular trap. We identify a family of classically unstable periodic orbits within the ergodic region of the classical phase space. Numerical computation of quantum eigenstates. For each irreducible representation of the symmetry group of the system, we find a set of wound quantum states that match the classically unstable trajectory. We describe this set of states using a semi-classical argument that reproduces well the energies of the wounded state. Ours is the first quantum flaw in an interacting system fully analyzed with respect to the original predictions. [Heller, Phys. Rev. Lett. 53,
    1515, 1984]It is also the first to affect the spatial motion rather than the dynamics of the internal states of interacting atoms.

    Source link


    Leave A Reply