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Bloch inductance in small-capacitance Josephson junctions.

¹Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany.

Physical Review Letters

|May 23, 2006

Summary

We discovered a new inductive term in small-capacitance Josephson junctions, the Bloch inductance. This inductance, dependent on quasicharge, significantly impacts the dynamics of Josephson junctions and their arrays.

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Area of Science:

Quantum electronics
Condensed matter physics
Superconductivity

Background:

Josephson junctions are fundamental in quantum electronics.
Their electrical impedance is typically described by a capacitive term.
The behavior of small-capacitance junctions is crucial for advanced quantum devices.

Purpose of the Study:

To investigate the complete electrical impedance of small-capacitance Josephson junctions.
To identify and characterize additional impedance components beyond the capacitive term.
To describe the influence of these new terms on quantum phenomena.

Main Methods:

Theoretical analysis of electrical impedance in small-capacitance Josephson junctions.
Derivation of the Bloch inductance term.
Examination of quasicharge and phase-dependent inductance values.
Modeling the dynamics of single junctions and 1D arrays.

Main Results:

The electrical impedance includes an inductive term, i(omega)LB, in addition to the capacitive term -i/(omega)CB.
The Bloch inductance, LB(q), exhibits periodic dependence on the quasicharge, q.
The maximum Bloch inductance exceeds the Josephson inductance at fixed phase.
The Bloch inductance affects the dynamics of single junctions and 1D arrays.

Conclusions:

A novel Bloch inductance component is identified in small-capacitance Josephson junctions.
This inductance plays a significant role in the junction's electrical properties and dynamics.
Understanding Bloch inductance is essential for advancing quantum circuit design and superconducting electronics.

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