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Authors: S. BORBÉLY.
Published Online: 2015-06-01
Published Print: 2015-06-25
VIEW PDF: COLLECTIVE BEHAVIOR OF COUPLED QUANTUM MECHANICAL OSCILLATORS
A simple model of coupled oscillators is investigated from the perspective of quantum mechanics. The classical model of two oscillators connected by a common platform can be easily solved analytically, but the quantum system requires a numerical approach. We assume that both the oscillators and the platform are quantum objects in their respective ground states at start and they evolve in time as a connected system. By following numerically this time-evolution we investigate the dynamics of the oscillators and calculate an order parameter that characterizes their correlated time-evolution. We study the order parameter as a function of the oscillators initial state and compare the findings with the equivalent classical system. Interestingly, for a given parameter region we found an enhanced collective behavior in the quantum mechanical system.
Keywords: nonlinear dynamics, collective behavior, quantum synchronization, coupled oscillators
* Corresponding author e-mail: zneda@phys.ubbcluj.ro
