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Title: Effect of quantum noise and tunneling on the fluctuational voltage-current characteristics and the lifetime of the zero-voltage state in Josephson junctions

Abstract

The minima of the potential energy for the dynamical variable phi of a Josephson junction are separated by barriers of height h-dash-barI-italic/sub c-italic//e, where I-italic/sub c-italic/ is the critical current. At low temperatures, T-italic<h-dash-bar..cap omega../2..pi.. (..cap omega.. is the Josephson plasma frequency). We consider this problem for high-quality junctions (R-italicC-italic..cap omega..>>1, R-italic and C-italic are the resistance and the capacitance of the junction), accounting for the effect of a Johnson-Nyquist noise and quantum tunneling at the barrier top. With a simplifying assumption, we derive a pair of integral equations containing an e-italicn-italice-italicr-italicg-italicy-italic v-italica-italicr-italici-italica-italicb-italicl-italice-italic for the steady-state distribution of phi and phi-dot, and solve it by a modification of the Wiener-Hopf method. The result is a formula for the current dependence of the fluctuational voltage, valid for currents I-italic<4I-italic/sub c-italic//..pi..RC..cap omega... We discuss the ohmic resistance of the junction, the case of a relatively high damping (1<..0, and perturbative quantum corrections in (h-dash-bar..cap omega../T-italic)/sup 2/<<1.

Authors:
;
Publication Date:
Research Org.:
Landau Institute for Theoretical Physics, Moscow, U.S.S.R.
OSTI Identifier:
5582225
Resource Type:
Journal Article
Journal Name:
Phys. Rev. B: Condens. Matter; (United States)
Additional Journal Information:
Journal Volume: 34:3
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; JOSEPHSON JUNCTIONS; ELECTRIC CONDUCTIVITY; TEMPERATURE NOISE; DAMPING; FLUCTUATIONS; INTEGRAL EQUATIONS; QUANTUM MECHANICS; TUNNEL EFFECT; ELECTRICAL PROPERTIES; EQUATIONS; JUNCTIONS; MECHANICS; NOISE; PHYSICAL PROPERTIES; SUPERCONDUCTING JUNCTIONS; VARIATIONS; 420201* - Engineering- Cryogenic Equipment & Devices

Citation Formats

Mel'nikov, V I, and Suetoe, A. Effect of quantum noise and tunneling on the fluctuational voltage-current characteristics and the lifetime of the zero-voltage state in Josephson junctions. United States: N. p., 1986. Web. doi:10.1103/PhysRevB.34.1514.
Mel'nikov, V I, & Suetoe, A. Effect of quantum noise and tunneling on the fluctuational voltage-current characteristics and the lifetime of the zero-voltage state in Josephson junctions. United States. https://doi.org/10.1103/PhysRevB.34.1514
Mel'nikov, V I, and Suetoe, A. 1986. "Effect of quantum noise and tunneling on the fluctuational voltage-current characteristics and the lifetime of the zero-voltage state in Josephson junctions". United States. https://doi.org/10.1103/PhysRevB.34.1514.
@article{osti_5582225,
title = {Effect of quantum noise and tunneling on the fluctuational voltage-current characteristics and the lifetime of the zero-voltage state in Josephson junctions},
author = {Mel'nikov, V I and Suetoe, A},
abstractNote = {The minima of the potential energy for the dynamical variable phi of a Josephson junction are separated by barriers of height h-dash-barI-italic/sub c-italic//e, where I-italic/sub c-italic/ is the critical current. At low temperatures, T-italic<h-dash-bar..cap omega../2..pi.. (..cap omega.. is the Josephson plasma frequency). We consider this problem for high-quality junctions (R-italicC-italic..cap omega..>>1, R-italic and C-italic are the resistance and the capacitance of the junction), accounting for the effect of a Johnson-Nyquist noise and quantum tunneling at the barrier top. With a simplifying assumption, we derive a pair of integral equations containing an e-italicn-italice-italicr-italicg-italicy-italic v-italica-italicr-italici-italica-italicb-italicl-italice-italic for the steady-state distribution of phi and phi-dot, and solve it by a modification of the Wiener-Hopf method. The result is a formula for the current dependence of the fluctuational voltage, valid for currents I-italic<4I-italic/sub c-italic//..pi..RC..cap omega... We discuss the ohmic resistance of the junction, the case of a relatively high damping (1<..0, and perturbative quantum corrections in (h-dash-bar..cap omega../T-italic)/sup 2/<<1.},
doi = {10.1103/PhysRevB.34.1514},
url = {https://www.osti.gov/biblio/5582225}, journal = {Phys. Rev. B: Condens. Matter; (United States)},
number = ,
volume = 34:3,
place = {United States},
year = {1986},
month = {8}
}