1,360 research outputs found
Analogue Hawking Radiation and Sine-Gordon Soliton in a Superconducting Circuit
We propose the use of a waveguide-like transmission line based on
direct-current superconducting quantum interference devices (dc-SQUID) and
study the sine-Gordon (SG) equation which characterises the dynamical behavior
of the superconducting phase in this transmission line. Guided by the duality
between black holes in Jackiw-Teitelboim (JT) dilaton gravity and solitons in
sine-Gordon field theory, we show how to, in our setup, realize 1 + 1
dimensional black holes as solitons of the sine-Gordon equation. We also study
the analogue Hawking radiation in terms of the quantum soliton evaporation, and
analyze its feasibility within current circuit quantum electrodynamics (cQED)
technology. Our results may not only facilitate experimentally understanding
the relation between Jackiw-Teitelboim dilaton gravity and sine-Gordon field
theory, but also pave a new way, in principle, for the exploration of analogue
quantum gravitational effects.Comment: 6 pages, 2 figure
Magnetic and Electric Excitations in Split Ring Resonators
We studied the electric and magnetic resonance of U-shaped SRRs. We showed
that higher order excitation modes exist in both of the electric and magnetic
resonances. The nodes in the current distribution were found for all the
resonance modes. It turns out that the magnetic resonances are the modes with
odd-number of half-wavelength of the current wave, i.e. 1/2, 3/2 and 5/2
wavelengths modes, and the electric resonances are modes with integer number of
whole-wavelength of current wave, i.e. 1, 2 and 3 wavelengths modes. We
discussed the electric moment and magnetic moment of the electric and magnetic
resonances, and their dependence to the length of two parallel side arms. We
show that the magnetic moment of magnetic resonance vanishes as the length side
arms of the SRR reduces to zero, i.e. a rod does not give any magnetic moment
or magnetic resonance.Comment: Journal-ref and DOI link adde
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