Classical resonant activation of a Josephson junction embedded in an LC circuit

2007 ◽  
Vol 75 (14) ◽  
Author(s):  
G. Rotoli ◽  
T. Bauch ◽  
T. Lindstrom ◽  
D. Stornaiuolo ◽  
F. Tafuri ◽  
...  
Keyword(s):  
Josephson Junction ◽  
Lc Circuit ◽  
Resonant Activation

scholarly journals EFFECTS OF COLORED NOISE IN SHORT OVERDAMPED JOSEPHSON JUNCTION

2008 ◽  
Vol 06 (supp01) ◽  
pp. 801-806 ◽  
Author(s):  
G. AUGELLO ◽  
D. VALENTI ◽  
B. SPAGNOLO
Keyword(s):  
Josephson Junction ◽  
Correlation Time ◽  
Colored Noise ◽  
Switching Time ◽  
Transient Dynamics ◽  
Noise Correlation ◽  
The Mean ◽  
Resonant Activation ◽  
Driving Signal ◽  
Enhanced Stability

We investigate the transient dynamics of a short overdamped Josephson junction with a periodic driving signal in the presence of colored noise. We analyze noise induced phenomena, specifically resonant activation and noise enhanced stability. We find that the positions both of the minimum of RA and maximum of NES depend on the value of the noise correlation time τc. Moreover, in the range where RA is observed, we find a non-monotonic behavior of the mean switching time as a function of τc.

OPERATOR JOSEPHSON EQUATION FOR A JOSEPHSON JUNCTION CONNECTED INTO A MESOSCOPIC LC CIRCUIT

2008 ◽  
Vol 22 (32) ◽  
pp. 3171-3177
Author(s):  
JI-SUO WANG ◽  
BAO-LONG LIANG ◽  
HONG-YI FAN
Keyword(s):  
Josephson Junction ◽  
Entangled State ◽  
Entangled State Representation ◽  
Phase Operator ◽  
State Representation ◽  
Modified Equations ◽  
Lc Circuit

We find that when a single Josephson junction is inserted into a mesoscopic LC circuit, the operator Josephson equation is modified accompanying with the modification of Farady equation describing the inductance. By virtue of the entangled state representation and using the appropriate phase operator in bosonic form we derive the modified equations.

Modified Josephson Equation for Mesoscopic Parallel LC Circuit Including a Josephson Junction

2009 ◽  
Vol 26 (1) ◽  
pp. 017302 ◽  
Author(s):  
Su Jie ◽  
Wang Ji-Suo ◽  
Liang Bao-Long ◽  
Zhang Xiao-Yan
Keyword(s):  
Josephson Junction ◽  
Lc Circuit

Josephson junction in the quantum mesoscopic electric circuits with charge discreteness

2018 ◽  
Vol 32 (11) ◽  
pp. 1850127
Author(s):  
H. Pahlavani
Keyword(s):  
Josephson Junction ◽  
Dynamical Behavior ◽  
Coulomb Energy ◽  
Coupling Energy ◽  
Electric Circuits ◽  
Quantum Dynamical ◽  
Junction Device ◽  
Lc Circuit ◽  
Quantum Behavior

A quantum mesoscopic electrical LC-circuit with charge discreteness including a Josephson junction is considered and a nonlinear Hamiltonian that describing the dynamic of such circuit is introduced. The quantum dynamical behavior (persistent current probability) is studied in the charge and phase regimes by numerical solution approaches. The time evolution of charge and current, number-difference and the bosonic phase and also the energy spectrum of a quantum mesoscopic electric LC-circuit with charge discreteness that coupled with a Josephson junction device are investigated. We show the role of the coupling energy and the electrostatic Coulomb energy of the Josephson junction in description of the quantum behavior and the spectral properties of a quantum mesoscopic electrical LC-circuits with charge discreteness.

scholarly journals Resonant activation of a Josephson junction

Physica B+C ◽  
1984 ◽  
Vol 126 (1-3) ◽  
pp. 483-484 ◽  
Author(s):  
Michel H. Devoret ◽  
John M. Martinis ◽  
Daniel Esteve ◽  
John Clarke
Keyword(s):  
Josephson Junction ◽  
Resonant Activation

The persistent current and energy spectrum on a driven mesoscopic LC-circuit with Josephson junction

2018 ◽  
Vol 32 (06) ◽  
pp. 1850066
Author(s):  
Hassan Pahlavani
Keyword(s):  
Energy Spectrum ◽  
Josephson Junction ◽  
Electric Circuit ◽  
External Source ◽  
Electrical Circuit ◽  
Persistent Current ◽  
Time Dependent ◽  
Coupling Energy ◽  
Junction Device ◽  
Lc Circuit

The quantum theory for a mesoscopic electric circuit including a Josephson junction with charge discreteness is studied. By considering coupling energy of the mesoscopic capacitor in Josephson junction device, a Hamiltonian describing the dynamics of a quantum mesoscopic electric LC-circuit with charge discreteness is introduced. We first calculate the persistent current on a quantum driven ring including Josephson junction. Then we obtain the persistent current and energy spectrum of a quantum mesoscopic electrical circuit which includes capacitor, inductor, time-dependent external source and Josephson junction.

Resonant activation of a Brownian particle out of a potential well: Microwave-enhanced escape from the zero-voltage state of a Josephson junction

1987 ◽  
Vol 36 (1) ◽  
pp. 58-73 ◽  
Author(s):  
Michel H. Devoret ◽  
Daniel Esteve ◽  
John M. Martinis ◽  
Andrew Cleland ◽  
John Clarke
Keyword(s):  
Josephson Junction ◽  
Brownian Particle ◽  
Potential Well ◽  
Zero Voltage ◽  
Resonant Activation
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