Effective description of tunneling in a time-dependent potential with applications to voltage switching in Josephson junctions
arXiv:1303.5644 · doi:10.1103/PhysRevA.87.052119
Abstract
We propose to use a time-dependent imaginary potential to describe quantum mechanical tunneling through time-varying potential barriers. We use Gamow solutions for stationary tunneling problems to justify our choice of potential, and we apply our method to describe tunneling of a mesoscopic quantum variable: the phase change across a Josephson junction. The Josephson junction phase variable behaves as the position coordinate of a particle moving in a tilted washboard potential, and our general solution to the motion in such a potential with a time-dependent tilt reproduces a number of features associated with voltage switching in Josephson junctions. Apart from applications as artificial atoms in quantum information studies, the Josephson junction may serve as an electric field sensitive detector, and our studies provide a detailed understanding of how the voltage switching dynamics couples to the electric field amplitude.
8 pages, 6 figures
References in corpus (5)
- Quantum information processing with circuit quantum electrodynamics
- Microwave Photon Detector in Circuit QED
- Perfect Microwave Photodetection in Circuit QED
- RF bifurcation of a Josephson junction: microwave embedding circuit requirements
- Multiphoton transitions in Josephson-junction qubits (Review Article)
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- Resonant switching current detector based on underdamped Josephson junctions
- Exploring the non-equilibrium fluctuation relation for quantum mechanical tunneling of electrons across a modulating barrier
- Cascade switching current detectors based on arrays of Josephson junctions
- Nonideal Quantum Measurement Effects on the Switching Currents Distribution of Josephson Junctions
- Dispersive detection of single microwave photons with quantum dots
- Accurate Switching Currents Measurements in Quantum Washboard Potential