Phonon distributions of a single bath mode coupled to a quantum dot

Abstract

The properties of an unconventional, single mode phonon bath coupled to a quantum dot, are investigated within the rotating wave approximation. The electron current through the dot induces an out of equilibrium bath, with a phonon distribution qualitatively different from the thermal one. In selected transport regimes, such a distribution is characterized by a peculiar selective population of few phonon modes and can exhibit a sub-Poissonian behavior. It is shown that such a sub-Poissonian behavior is favored by a double occupancy of the dot. The crossover from a unequilibrated to a conventional thermal bath is explored, and the limitations of the rotating wave approximation are discussed.

21 Pages, 7 figures, to appear in New Journal of Physics - Focus on Quantum Dissipation in Unconventional Environments

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• Enhancement of transmission rates in quantum memory channels with damping
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• Coherent properties of nano-electromechanical systems
• An electrical probe for mechanical vibrations in suspended carbon nanotubes
• Transmission of classical and quantum information through a quantum memory channel with damping
• Transient dynamics of an adiabatic NEMS
• Probing Wigner correlations in a suspended carbon nanotube