Lower limit on the achievable temperature in resonator-based sideband cooling

@article{Grajcar2008LowerLO,
  title={Lower limit on the achievable temperature in resonator-based sideband cooling},
  author={M. Grajcar and Sahel Ashhab and J. R. Johansson and Franco Nori},
  journal={Physical Review B},
  year={2008},
  volume={78},
  pages={035406}
}
A resonator with eigenfrequency ${\ensuremath{\omega}}_{r}$ can be effectively used as a cooler for another linear oscillator with a much smaller frequency ${\ensuremath{\omega}}_{m}⪡{\ensuremath{\omega}}_{r}$. A huge cooling effect, which could be used to cool a mechanical oscillator below the energy of quantum fluctuations, has been predicted by several authors. However, here we show that there is a lower limit ${T}^{\ensuremath{\ast}}$ on the achievable temperature, given by ${T… 

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References

SHOWING 1-10 OF 44 REFERENCES
Ground-state cooling of mechanical resonators
We propose an application of a single Cooper pair box (Josephson qubit) for active cooling of nanomechanical resonators. Latest experiments with Josephson qubits demonstrated that long coherence time
Cooling a nanomechanical resonator with quantum back-action
TLDR
The back-action of a superconducting single-electron transistor (SSET) on a radio-frequency nanomechanical resonator is measured to anticipate the use of these back- action effects to prepare ultracold and quantum states of mechanical structures, which would not be accessible with existing technology.
Self-cooling of a micromirror by radiation pressure
TLDR
The observation of self-cooling of a micromirror by radiation pressure inside a high-finesse optical cavity is reported, indicating changes in intensity in a detuned cavity, provide the mechanism for entropy flow from the mirror’s oscillatory motion to the low-entropy cavity field.
Quantum theory of cavity-assisted sideband cooling of mechanical motion.
TLDR
It is found that reaching the quantum limit of arbitrarily small phonon numbers requires going into the good-cavity (resolved phonon sideband) regime where the cavity linewidth is much smaller than the mechanical frequency and the corresponding cavity detuning.
Approaching the Quantum Limit of a Nanomechanical Resonator
TLDR
By coupling a single-electron transistor to a high–quality factor, 19.7-megahertz nanomechanical resonator, position detection approaching that set by the Heisenberg uncertainty principle limit is demonstrated and the near-ideal performance of the single-Electron transistor as a linear amplifier is demonstrated.
Single artificial-atom lasing
TLDR
This work demonstrates a lasing effect with a single artificial atom—a Josephson-junction charge qubit—embedded in a superconducting resonator.
Probing tiny motions of nanomechanical resonators: classical or quantum mechanical?
TLDR
The motion of the NAMR, including if it is quantum mechanical or not, could be probed by detecting the voltage-fluctuation spectrum of the TLR, which is indirectly coupled to theNAMR via a controllable Josephson qubit acting as a quantum transducer.
A tunable carbon nanotube electromechanical oscillator
TLDR
The electrical actuation and detection of the guitar-string-like oscillation modes of doubly clamped nanotube oscillators are reported and it is shown that the resonance frequency can be widely tuned and that the devices can be used to transduce very small forces.
Microwave-Induced Cooling of a Superconducting Qubit
TLDR
Microwave-induced cooling in a superconducting flux qubit provides an analog to optical cooling of trapped ions and atoms and is generalizable to other solid-state quantum systems.
Simultaneous cooling of an artificial atom and its neighboring quantum system.
TLDR
An approach for cooling both an artificial atom and its neighboring quantum system, the latter modeled by either a quantum two-level system or a quantum resonator, which is robust and effective, irrespective of the chosen quantum systems connected to the qubit.
...
...