Quantum and thermal fluctuations in the dynamics of a resistively and capacitively shunted Josephson junction

Abstract

We theoretically investigate the phase and voltage correlation dynamics, which includes both the deterministic contribution and stochastic fluctuations, under a current noise generated by a resistor including thermal and quantum fluctuations in a resistively and capacitively shunted Josephson junction. An external current is found to shift and intensify the deterministic contributions in phase and voltage. In addition to effects of external current, we observe the relaxation of autocorrelation functions of phase and voltage, which includes the variances due to the current noise, to finite values in the long-time limit. In particular, we find that the asymptotic correlations depend on the resistance as a consequence of quantum effects. We also find an earlier decay of coherence at a higher temperature in which thermal fluctuations dominate over quantum ones. These theoretical predictions can be tested in the next future experiments.

arXiv comment8 pages, 6 figures; published version

References in corpus (16)

• Circuit Quantum Electrodynamics
• Fundamental Aspects of Quantum Brownian Motion
• Quantum critical states and phase transitions in the presence of non equilibrium noise
• Andreev Bound States and Their Signatures
• Dynamics and universality in noise driven dissipative systems
• A survey of classical and quantum interpretations of experiments on Josephson junctions at very low temperatures
• Effect of zero point phase fluctuations on Josephson tunneling
• Absence of a dissipative quantum phase transition in Josephson junctions
• Quantum noise in current biased Josephson junction
• Measurability of vacuum fluctuations and dark energy
• Critical fluorescence of a transmon at the Schmid transition
• Appearance of ferroelectricity in thin films of incipient ferroelectric
• Resistively shunted Josephson junctions: QFT predictions versus MC results
• Temperature Dependence of Zero-Bias Resistances of a Single Resistance-Shunted Josephson Junction
• Dissipation and fluctuations in elongated bosonic Josephson junctions
• Noise in resistively shunted Josephson junctions

Cited by in corpus (4)

• Quantum battery based on dipole-dipole interaction and external driving field
• Fokker-Planck equations for a trapped particle in a quantum-thermal Ohmic bath: general theory and applications to Josephson junctions
• Dynamics with Simultaneous Dissipations to Fermionic and Bosonic Reservoirs
• Interaction-induced dissipative quantum phase transition in a head-to-tail atomic Josephson junction