Bistability and Displacement Fluctuations in a Quantum Nano-mechanical Oscillator

Autor: Rémi Avriller, B Murr, Fabio Pistolesi
Přispěvatelé: Laboratoire Ondes et Matière d'Aquitaine (LOMA), Université de Bordeaux (UB)-Centre National de la Recherche Scientifique (CNRS)
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Physical Review B: Condensed Matter and Materials Physics (1998-2015)
Physical Review B: Condensed Matter and Materials Physics (1998-2015), American Physical Society, 2018, 97 (15), pp.155414 (1-13). ⟨10.1103/PhysRevB.97.155414⟩
ISSN: 1098-0121
1550-235X
Popis: Remarkable features have been predicted for the mechanical fluctuations at the bistability transition of a classical oscillator coupled capacitively to a quantum dot [Micchi et al., Phys. Rev. Lett. 115, 206802 (2015)]. These results have been obtained in the regime $\ensuremath{\hbar}{\ensuremath{\omega}}_{0}\ensuremath{\ll}{k}_{B}T\ensuremath{\ll}\ensuremath{\hbar}\mathrm{\ensuremath{\Gamma}}$, where ${\ensuremath{\omega}}_{0}, T$, and $\mathrm{\ensuremath{\Gamma}}$ are the mechanical resonating frequency, the temperature, and the tunneling rate, respectively. A similar behavior could be expected in the quantum regime of $\ensuremath{\hbar}\mathrm{\ensuremath{\Gamma}}\ensuremath{\ll}{k}_{B}T\ensuremath{\ll}\ensuremath{\hbar}{\ensuremath{\omega}}_{0}$. We thus calculate the energy- and displacement-fluctuation spectra and study their behavior as a function of the electromechanical coupling constant when the system enters the Frank-Condon regime. We find that in analogy with the classical case, the energy-fluctuation spectrum and the displacement spectrum widths show a maximum for values of the coupling constant at which a mechanical bistability is established.
Databáze: OpenAIRE