Two-particle dark state cooling of a nanomechanical resonator

Abstract

The steady-state cooling of a nanomechanical resonator interacting with three coupled quantum dots is studied. General conditions for the cooling to the ground state with single and two-electron dark states are obtained. The results show that in the case of the interaction of the resonator with a single-electron dark state, no cooling of the resonator occurs unless the quantum dots are not identical. The steady-state cooling is possible only if the energy state of the quantum dot coupled to the drain electrode is detuned from the energy states of the dots coupled to the electron source electrode. The detuning has the effect of unequal shifting of the effective dressed states of the system that the cooling and heating processes occur at different frequencies. For the case of two electrons injected to the quantum dot system, the creation of a two-particle dark state is established to be possible with spin-antiparallel electrons. The results predict that with the two-particle dark state, an effective cooling can be achieved even with identical quantum dots subject of an asymmetry only in the charging potential energies coupling the injected electrons. It is found that similar to the case of the single-electron dark state, the asymmetries result in the cooling and heating processes to occur at different frequencies. However, an important difference between the single and two-particle dark state cases is that the cooling process occurs at significantly different frequencies. This indicates that the frequency at which the resonator could be cooled to its ground state can be changed by switching from the one-electron to the two-electron Coulomb blockade process.

Published version

References in corpus (18)

• Self-cooling of a micro-mirror by radiation pressure
• Cooling a nanomechanical resonator with quantum back-action
• Feedback cooling of a cantilever's fundamental mode below 5 mK
• Carbon nanotubes as ultra-high quality factor mechanical resonators
• Frequency-selective single photon detection using a double quantum dot
• Mass Detection with Nonlinear Nanomechanical Resonator
• Tunable Noise Cross-Correlations in a Double Quantum Dot
• Dark states in the magnetotransport through triple quantum dots
• Cooling carbon nanotubes to the phononic ground state with constant electron current
• Two-Particle Dark State in the Transport through a Triple Quantum Dot
• Counting statistics of coherent population trapping in quantum dots
• Cooling a mechanical resonator via coupling to a tunable double quantum dot
• Cooling of a suspended nanowire by an AC Josephson current flow
• Resonance fluorescence in driven quantum dots: electron and photon correlations
• Phonon-mediated decoherence in triple quantum dot interferometers
• Cooling a nanomechanical resonator by a triple quantum dot
• Enhancement of laser cooling by the use of magnetic gradients
• High Q electromechanics with InAs nanowire quantum dots

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