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We analyze the dynamics of a nano-mechanical resonator coupled to a single-electron transistor (SET) in the regime where the resonator behaves classically. A master equation is derived describing the dynamics of the coupled system which is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. D. Armour , M. P. Blencowe , Y. Zhang

We analyze the noise properties of two single electron transistors (SETs) coupled via a shared voltage gate consisting of a nanomechanical resonator. Working in the regime where the resonator can be treated as a classical system, we find…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. A. Rodrigues , A. D. Armour

We investigate the behavior of a quantum resonator coupled to a superconducting single-electron transistor tuned to the Josephson quasiparticle resonance and show that the dynamics is similar in many ways to that found in a micromaser.…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 D. A. Rodrigues , J. Imbers , A. D. Armour

We analyse the quantum dynamics of a nanomechanical resonator coupled to a normal-state single-electron transistor (SET). Starting from a microscopic description of the system, we derive a master equation for the SET island charge and…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Denzil Rodrigues , Andrew Armour

The oscillatory response of nonlinear systems exhibits characteristic phenomena such as multistability, discontinuous jumps and hysteresis. These can be utilized in applications leading, e.g., to precise frequency measurement, mixing,…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Quirin P. Unterreithmeier , Thomas Faust , Jorg P. Kotthaus

We consider a model of a quantum-mechanical resonator capacitively coupled to a single electron transistor (SET). The tunnel current in the SET is modulated by the vibrations of the resonator, and thus the system operates as a displacement…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. Mozyrsky , I. Martin , M. B. Hastings

We present an analysis of the dynamics of a nanomechanical resonator coupled to a superconducting single electron transistor (SSET) in the vicinity of the Josephson quasiparticle (JQP) and double Josephson quasiparticle (DJQP) resonances.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. P. Blencowe , J. Imbers , A. D. Armour

As a model of coupled nano-electromechanical resonantors we study two nonlinear driven oscillators with an arbitrary coupling strength between them. Analytical expressions are derived for the oscillation amplitudes as a function of the…

Chaotic Dynamics · Physics 2015-05-28 L. Chotorlishvili , A. Ugulava , G. Mchedlishvili , A. Komnik , S. Wimberger , J. Berakdar

We investigate the noise properties of a superconducting single electron transistor (SSET) coupled to an harmonically driven resonator. Using a Langevin equation approach, we calculate the frequency spectrum of the SSET charge and calculate…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. A. Rodrigues , G. J. Milburn

The response of nonlinear resonators to multifrequency driving reveals rich dynamics beyond conventional single-tone theory. We study a Duffing resonator under bichromatic excitation and identify a competition between the two drives,…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Soumya S. Kumar , Javier del Pino , Letizia Catalini , Alexander Eichler , Oded Zilberberg

We investigate the dynamical instabilities of a resonator coupled to a superconducting single-electron transistor (SSET) tuned to the Josephson quasiparticle (JQP) resonance. Starting from the quantum master equation of the system, we use a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. A. Rodrigues , J. Imbers , T. J. Harvey , A. D. Armour

We analyze the current and zero-frequency current noise properties of a superconducting single electron resonator (SSET) coupled to a resonator, focusing on the regime where the SSET is operated in the vicinity of the Josephson…

Mesoscale and Nanoscale Physics · Physics 2008-07-21 T. J. Harvey , D. A. Rodrigues , A. D. Armour

We study a general model describing a self-detecting single electron transistor realized by a suspended carbon nanotube actuated by a nearby antenna. The main features of the device, recently observed in a number of experiments, are…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 A. Nocera , C. A. Perroni , V. Marigliano Ramaglia , V. Cataudella

The current noise spectrum of a single-electron transistor (SET) coupled to a nano-mechanical resonator is calculated in the classical regime. Correlations between the charge on the SET island and the position of the resonator give rise to…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. D. Armour

Using a classical equation of motion, dynamics of the phase is analyzed in the Inductive Single-Electron Transistor (L-SET) which is a promising new system suitable for quantum measurement with ultimate sensitivity and low back-action. In a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mika A. Sillanpää , Leif Roschier , Pertti J. Hakonen

We have suspended an Al based single-electron transistor whose island can resonate freely between the source and drain leads forming the clamps. In addition to the regular side gate, a bottom gate with a larger capacitance to the SET island…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Yu. A. Pashkin , T. F. Li , J. P. Pekola , O. Astafiev , D. A. Knyazev , F. Hoehne , H. Im , Y. Nakamura , J. S. Tsai

Stochastic resonance is a general phenomenon usually observed in one-dimensional, amplitude modulated, bistable systems.We show experimentally the emergence of phase stochastic resonance in the bidimensional response of a forced…

We report quantitative experimental measurements of the nonlinear response of a radiofrequency mechanical resonator, with very high quality factor, driven by a large swept-frequency force. We directly measure the noise-free transition…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. S. Aldridge , A. N. Cleland

We investigate the dynamics of a single phonon (oscillator) mode linearly coupled to an electronic few-level system in contact with external particle reservoirs (leads). A stationary electronic current through the system generates…

Mesoscale and Nanoscale Physics · Physics 2010-10-15 R. Hussein , A. Metelmann , P. Zedler , T. Brandes

Single dopants in semiconductor nanostructures have been studied in great details recently as they are good candidates for quantum bits, provided they are coupled to a detector. Here we report coupling of a single As donor atom to a…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 V. N. Golovach , X. Jehl , M. Houzet , M. Pierre , B. Roche , M. Sanquer , L. I. Glazman
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