Effect of zero point phase fluctuations on Josephson tunneling

Abstract

In the presence of phase fluctuations the dc Josephson effect is modified and the supercurrent at zero voltage is replaced by a peak at small but finite voltages. It is shown that at zero temperature this peak is determined by two complementary expansions of finite radius of convergence. The leading order expressions are related to results known from the regimes of Coulomb blockade and of macroscopic quantum tunneling. The peak positions and the suppression of the critical current by quantum fluctuations are discussed.

4 pages, 4 figures, RevTeX

References in corpus (4)

• Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
• Exact non-equilibrium DC shot noise in Luttinger liquids and fractional quantum Hall devices
• Phase diffusion and charging effects in Josephson junctions
• Low-temperature conductance and DC current noise in a quantum wire with impurity

Cited by in corpus (32)

• A one-channel conductor in an ohmic environment: mapping to a TLL and full counting statistics
• Quantum fluctuations in thin superconducting wires of finite length
• Nonclassical photon pair production in a voltage-biased Josephson junction
• Phase-charge duality in Josephson junction circuits: Role of inertia and effect of microwave irradiation
• Quantum Brownian Motion With Large Friction
• Full counting statistics in the self-dual interacting resonant level model
• AC Josephson effect and resonant Cooper pair tunneling emission of a Cooper Pair Transistor
• Antibunched photons from inelastic Cooper-pair tunneling
• Absence of a dissipative quantum phase transition in Josephson junctions
• Tunneling Spectroscopy of Two-level Systems Inside Josephson Junction
• Measuring non-Gaussian fluctuations through incoherent Cooper pair current
• Quantum Effects in Small-Capacitance Single Josephson Junctions
• Correlated Cooper pair transport and microwave photon emission in the dynamical Coulomb blockade
• Quantitative description of Josephson-like tunneling in ${\nu }_T=1$ quantum Hall bilayers
• Quantum Phase-Slip Junction Under Microwave Irradiation
• Gain, directionality and noise in microwave SQUID amplifiers: Input-output approach
• Very high frequency spectroscopy and tuning of a single-Cooper-pair-transistor with an on-chip generator
• Input-output description of microwave radiation in the dynamical Coulomb blockade
• Back-action noise in strongly interacting systems: the dc SQUID and the interacting quantum point-contact
• Quantum charge diffusion in underdamped Josephson junctions and superconducting nanowires
• Identification of Coulomb blockade and macroscopic quantum tunneling by noise
• Magnetic field-tuned superconductor/insulator transition in TiN nanostrips
• Voltage-Current curves for small Josephson junction arrays
• Quantum and thermal fluctuations in the dynamics of a resistively and capacitively shunted Josephson junction
• Theory of superconductor-insulator transition in single Josephson junctions
• Charge quantization and detector resolution
• Rf-induced transport of Cooper pairs in superconducting single electron transistors in a dissipative environment
• Diagrammatic description of a system coupled strongly to a bosonic bath
• Tunnel junction as a noise probe
• Superconductor-metal transition in an ultrasmall Josephson junction biased by a noisy voltage source
• Entanglement flow in the Kane-Fisher quantum impurity problem
• Absence of a dissipative quantum phase transition in Josephson junctions: Theory