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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Shape waves in 2D Josephson junctions: exact solutions and time dilation.

D R Gulevich¹, F V Kusmartsev, Sergey Savel'ev

¹Physics Department, Loughborough University, Leicestershire, United Kingdom.

Physical Review Letters

|October 15, 2008

Summary

We predict novel excitations along Josephson vortices, analogous to shear waves, with arbitrary shapes. These excitations can act as a clock for relativistic vortices, enabling tests of time dilation.

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Area of Science:

Condensed Matter Physics
Superconductivity
Nonlinear Dynamics

Background:

Josephson vortices are topological defects in Josephson junctions.
Understanding vortex dynamics is crucial for superconducting device applications.
Previous studies have not identified these specific vortex-bound excitations.

Purpose of the Study:

To predict and characterize a new class of excitations in 2D Josephson junctions.
To explore the analogy between these excitations and shear waves in solids.
To investigate their potential as a relativistic clock mechanism.

Main Methods:

Analytical derivation of excitation energy for arbitrary shapes.
Investigation of excitation influence on vortex line dynamics.
Theoretical analysis of excitation creation conditions.

Main Results:

A new class of vortex-distortion excitations is predicted.
A universal energy expression for arbitrary shape excitations is derived.
These excitations exhibit shape retention during propagation.

Conclusions:

The predicted excitations are analogous to shear waves and can have arbitrary profiles.
They influence vortex line dynamics and can be created under specific conditions.
These excitations serve as a clock for relativistic Josephson vortices, enabling time dilation measurements.