Abstract
The dynamical properties of an excitonic dimer coupled to a harmonic oscillator are analyzed as a simple model for the problem of self-localization of excitons in crystalline systems. If the oscillator is treated classically and a damping term is included in a phenomenological way, the system relaxes to its lowest-energy state, which is either a symmetrical or a site-trapped, symmetry-broken state depending on the values of the system parameters. When the system is treated quantum mechanically, and the accurate eigenstates of the system obtained in previous work are used, it is possible to establish a semiquantitative argument suggesting that this symmetry-breaking behavior is an artifact of the semiclassical approximation.
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