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Classical and quantum dissipative dynamics in Josephson junctions: An Arnold problem, bifurcation, and capture into
Dmitrii Pashin1, Arkady M Satanin1, Chang Sub Kim2
1Department of Theoretical Physics, Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod 603091, Russia.
We investigated phase dynamics in Josephson junctions, revealing bistable behavior crucial for superconducting quantum circuits. Our study quantifies capture probability, enabling controlled switching between states for qubit readout.
Area of Science:
- Quantum physics
- Condensed matter physics
- Superconductivity
Background:
- Josephson junctions exhibit complex phase dynamics analogous to particle motion in a washboard potential.
- Bistable dynamics in Josephson junctions are critical for applications like nondemolition measurements and high-fidelity qubit readout in superconducting quantum circuits.
Purpose of the Study:
- To theoretically investigate the phase dynamics in Josephson junctions under specific driving and damping conditions.
- To determine the probability of capture into either basin of attraction for the bistable dynamics.
- To analyze the implementation of controlled dynamical switching between steady states using the derived Arnold probability.
Main Methods:
- Theoretical study of phase dynamics in Josephson junctions.
- Mapping Josephson phase dynamics to particle motion in a washboard potential.
- Derivation of the Arnold probability for capture dynamics.
- Numerical analysis of controlled dynamical switching under nonequilibrium conditions.
Main Results:
- Identified intriguing bistable dynamics in the Josephson phase near a saddle point in the quasienergy landscape.
- Derived the Arnold probability to quantify capture into different basins of attraction.
- Demonstrated the feasibility of controlled dynamical switching between two steady states via numerical analysis.
Conclusions:
- The bifurcation mechanism in Josephson junctions is key to understanding bistable dynamics and enabling advanced quantum measurements.
- The derived Arnold probability provides a quantitative tool for controlling state switching in superconducting quantum circuits.
- This research offers insights into manipulating quantum states for applications in quantum information processing.
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