Running-phase state in a Josephson washboard potential

Abstract

We investigate the dynamics of the phase variable of an ideal underdamped Josephson junction in switching current experiments. These experiments have provided the first evidence for macroscopic quantum tunneling in large Josephson junctions and are currently used for state read-out of superconducting qubits. We calculate the shape of the resulting macroscopic wavepacket and find that the propagation of the wavepacket long enough after a switching event leads to an average voltage increasing linearly with time.

6 pages, 3 figures

References in corpus (4)

• Manipulating the Quantum State of an Electrical Circuit
• Coherent Quantum Dynamics of a Superconducting Flux Qubit
• Coherent oscillations in a superconducting multi-level quantum system
• Survival law in a potential model

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• Entanglement of superconducting qubits via microwave fields: classical and quantum regimes
• Recent progress in quantum simulation using superconducting circuits
• Interaction-free measurements with superconducting qubits
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• Weak and strong measurement of a qubit using a switching-based detector
• Generalized partial measurements
• A quantum no-reflection theorem and the speeding up of Grover's search algorithm
• Partial measurements and the realization of quantum-mechanical counterfactuals
• Extraction of information from a single quantum
• Effective description of tunneling in a time-dependent potential with applications to voltage switching in Josephson junctions
• Quantized resonator field coupled to a current-biased Josephson junction in circuit QED
• Measurement-induced entanglement of two superconducting qubits
• How Do Schrödinger's Cats Die?
• Accurate Switching Currents Measurements in Quantum Washboard Potential