Abstract

We analyze a simple model of a quantum cell composed of two Coulomb-coupled double dot systems with one electron in each double dot. The interaction of electrons with acoustic phonons is considered as the principal mechanism that relaxes the cell to the ground state. Non-Markovian stochastic equations for population differences and dipole moments of the constituent double dots are derived. It is found that in order for the bistable state of the quantum cell to exist, the effective energy of Coulomb repulsion between the double dot systems must exceed the individual tunnel splitting energy, as well as the phonon temperature. The behavior of the cell polarization near the critical temperature is described analytically. We calculate the damping rates determining cell relaxation to its minimum-energy state and discuss limitations on the speed of cell response to external fields caused by the finite relaxation time.

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