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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 analyze the spectral properties of a resonator coupled to a superconducting single electron transistor (SSET) close to the Josephson quasiparticle resonance. Focussing on the regime where the resonator is driven into a limit-cycle state…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 T. J. Harvey , D. A. Rodrigues , A. D. Armour

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

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

We analyze the charge dynamics of a superconducting single-electron transistor (SSET) in the regime where charge transport occurs via Cooper-pair resonances. Using an approximate description of the system Hamiltonian, in terms of a series…

Mesoscale and Nanoscale Physics · Physics 2010-08-26 P. G. Kirton , M. Houzet , F. Pistolesi , A. D. Armour

We analyze the response of a nanomechanical resonator to an external drive when it is also coupled to a single-electron transistor (SET). The interaction between the SET electrons and the mechanical resonator depends on the amplitude of the…

Mesoscale and Nanoscale Physics · Physics 2013-04-11 P. G. Kirton , A. D. Armour

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 have directly measured the quantum noise of a superconducting single-electron transistor (S-SET) embedded in a microwave resonator consisting of a superconducting LC tank circuit. Using an effective bath description, we find that the…

Mesoscale and Nanoscale Physics · Physics 2008-05-08 W. W. Xue , Z. Ji , Feng Pan , Joel Stettenheim , A. J. Rimberg

We study a model which can describe a superconducting single electron transistor (SSET) or a double quantum dot coupled to transmission-line oscillator. In both cases the degree of freedom is given by a charged particle, which couples…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 M. Marthaler , Y. Utsumi , D. S. Golubev

Single electron transistors (SETs) are very sensitive electrometers and they can be used in a range of applications. In this paper we give an introduction to the SET and present a full quantum mechanical calculation of how noise is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Johansson , P. Delsing , K. Bladh , D. Gunnarsson , T. Duty , A. Käck , G. Wendin , A. Aassime

We calculate the full frequency spectral density of voltage fluctuations in a Single Electron Transistor (SET), used as an electrometer biased above the Coulomb threshold so that the current through the SET is carried by sequential tunnel…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Andreas Kack , Goran Johansson , Goran Wendin

An extensive investigation of low frequency noise in single electron transistors as a function of gain is presented. Comparing the output noise with gain for a large number of bias points, it is found that the noise is dominated by external…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 B. Starmark , Torsten Henning , A. N. Korotkov , T. Claeson , P. Delsing

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

A theoretical analysis of the charge sensitivity of the RF-SET is presented. We use the ``orthodox'' approach and consider the case when the carrier frequency is much less than $I/e$ where $I$ is the typical current through RF-SET. The…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Alexander N. Korotkov , Mikko A. Paalanen

We study a resonator coupled to a generic detector and calculate the noise spectra of the two sub-systems. We describe the coupled system by a closed, linear, set of Langevin equations and derive a general form for the finite frequency…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. A. Rodrigues

Motivated by recent "circuit QED" experiments we investigate the noise properties of coherently driven nonlinear resonators. By using Josephson junctions in superconducting circuits, strong nonlinearities can be engineered, which lead to…

Mesoscale and Nanoscale Physics · Physics 2012-05-25 Stephan André , Lingzhen Guo , Vittorio Peano , Michael Marthaler , Gerd Schön

We have developed a novel system consisting of a superconducting single-electron transistor (S-SET) coupled to a two-dimensional electron gas (2DEG), for which the dissipation can be tuned in the immediate vicinity of the S-SET. To analyze…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. J. Rimberg , W. Lu

We have analyzed numerically the response and noise-limited charge sensitivity of a radio-frequency single-electron transistor (RF-SET) in a non-superconducting state using the orthodox theory. In particular, we have studied the performance…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Valentin O. Turin , Alexander N. Korotkov

Radio-frequency reflectometry in silicon single-electron transistors (SETs) is presented. At low temperatures (<4 K), in addition to the expected Coulomb blockade features associated with charging of the SET dot, quasi-periodic oscillations…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 B. J. Villis , A. O. Orlov , X. Jehl , G. L. Snider , P. Fay , M. Sanquer

We have developed a novel system consisting of a superconducting single-electron transistor (S-SET) coupled to a two-dimensional electron gas (2DEG), for which the dissipation can be tuned in the immediate vicinity of the S-SET. Within…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. Lu , K. D. Maranowski , A. J. Rimberg
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