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

Cavaliere, Fabio; Piovano, G; Paladino, E.; Sassetti, Maura

doi:10.1088/1367-2630/10/11/115004

Cited by 20 publications

(20 citation statements)

References 49 publications

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“…The energy = ξ + 2E C (1/2 − n g ) includes the energy of the lowest unoccupied single-particle level ξ and a term connected to n g = C g V g /e, the charge induced by the gate voltage V g with gate capacitance C g (−e is the electron charge). 29 The vibron is described as a harmonic oscillator with mass m and frequency ω 0 . In terms of the boson operators b, b † , it is modeled as…”

Section: A Anderson-holstein Modelmentioning

confidence: 99%

“…23 A great variety of NEMS setups have been investigated theoretically. Typically, the electronic part is composed of a semiconducting, [24][25][26][27][28][29] normal, [30][31][32] or superconducting [33][34][35][36] single quantum dot. 37 Double-dot setups have been studied as well.…”

Section: Introductionmentioning

confidence: 99%

“…37 Double-dot setups have been studied as well. 27,38 Different models for the coupling between electrons and vibrons have been considered, ranging from the simple Anderson-Holstein (AH) model 9,24,[26][27][28][29][39][40][41][42] to microscopic models tailored for specific systems, such as suspended carbon nanotubes. [43][44][45] Also, the influence of external dissipative baths 29,46,47 or radiation fields 38,48,49 has been analyzed.…”

Section: Introductionmentioning

confidence: 99%

“…55 Many groups focused their attention on this regime, employing rate equations to study transport phenomena such as the Franck-Condon blockade, super-Poissonian shot noise, 9,10,12,24 and even peculiar effects such as subPoissonian out-of-equilibrium vibron distributions. 28,29,33,56,57 In the opposite regime of slow vibrations γ 1, electrons are extremely sensitive to the position of the oscillator, which can be treated in a semiclassical approximation. 26,30,31,58 Indeed, Mozyrsky et al have shown 25 that it is the onset of a semiclassical Langevin dynamics.…”

Section: Introductionmentioning

confidence: 99%

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Coherent properties of nanoelectromechanical systems

et al. 2011

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We study the properties of a nanoelectromechanical system in the coherent regime, where the electronic and vibrational time scales are of the same order. By employing a master-equation approach, we obtain the stationary reduced density matrix retaining the coherences between vibrational states. Depending on the system parameters, two regimes are identified, characterized by either (i) an effective thermal state with a temperature lower than that of the environment or (ii) strong coherent effects. A marked cooling of the vibrational degree of freedom is observed with a suppression of the vibron Fano factor down to sub-Poissonian values and a reduction of the position and momentum quadratures.

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Section: A Anderson-holstein Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Coherent properties of nanoelectromechanical systems

et al. 2011

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“…Obviously, the shuttle devices considered here are in contact with two different kinds of bath: electrical baths (the two leads) and a mechanical bath, similar to the recent work by Cavaliere and co-workers. 27 By assuming that the electrical and mechanical degrees of freedom act on the shuttle system independently, the equation of motion can be divided into two parts: one for the electrical component and the other for the mechanical one. 30,31 Then, in order to perform a complete description of the T-QDS mechanical dynamics, one has to treat the entire system composed of the T-QDS and the heat bath.…”

Section: Model and Formulationmentioning

confidence: 99%

Quantum transport through a transverse quantum-dot shuttle

Jiang

Zhao

et al. 2011

Phys. Rev. B

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A transverse quantum-dot (QD) shuttle (T-QDS) is proposed where the QD oscillating direction is perpendicular to the electron transmission direction, different from the usual QD shuttle where the oscillating direction is parallel to the electron transmission direction. Both the electrical and mechanical degrees of freedom are dealt with by using the full quantum mechanical approaches. We derive the modified rate equations and numerically investigate the quantum properties of the T-QDS. First, as a comparison, we study the time-dependent evolutions of the electron-occupation probabilities and the currents flowing through the classical T-QDS. It is shown that the current shows the time-dependent oscillation in phase with the oscillation of the T-QDS. Then, we turn to study the quantum properties of the quantum T-QDS. Sharply different from the classical T-QDS, no oscillations of the probabilities and the current are observed due to the quantum uncertainty of the space position of the quantum T-QDS. It is demonstrated that the effects induced by the quantized oscillation of the quantum T-QDS are reflected as the renormalization of the tunneling rates between the QD and the leads. Notably, the two tunneling rates of the QD with the left and right leads depend on the relative space positions of the leads and the QD in different ways. It is the interplay of the two tunneling rates that eventually determines the stationary current of the T-QDS. Moreover, we study the influences induced by the temperature, which can also be considered via the renormalized tunneling rates.

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Transient dynamics of an adiabatic NEMS

et al. 2014

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This paper is focused on the transient dynamics of an adiabatic nano-electromechanical system (NEMS), consisting of a nano-mechanical oscillator coupled to a quantum dot. By numerically solving the nonlinear stochastic differential equation governing the oscillator, the time evolution of the oscillator position, of the dot occupation number and of the current are studied. Different parameter settings are studied where the system exhibits bi-stable, tri-stable or mono-stable behavior on a finite-time horizon. It is shown that, after a typically long transient, the system under investigation exhibits no hysteretic behavior and that a unique steady state is reached, independently of the initial conditions. The transient dynamics is marked out by one or two well separated characteristic times, depending on the considered case (i.e., mono- or multi-stable). These times are evaluated for a dot on-resonance or off-resonance. It turns out that the characteristic time scales are long in comparison to the period of the uncoupled oscillator, particularly at low bias, suggesting that the predicted transient dynamics may be observed in state-of-the-art experimental setups

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

Cited by 20 publications

References 49 publications

Coherent properties of nanoelectromechanical systems

Coherent properties of nanoelectromechanical systems

Quantum transport through a transverse quantum-dot shuttle

Transient dynamics of an adiabatic NEMS

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