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Phys. Rev. B 77, 144507 (2008) [7 pages]

Quantum metamaterials: Electromagnetic waves in a Josephson qubit line

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A. L. Rakhmanov1,2, A. M. Zagoskin1,3,4, Sergey Savel’ev1,3, and Franco Nori1,5
1Frontier Research System, The Institute of Physical and Chemical Research (RIKEN), Wako-shi, Saitama 351-0198, Japan
2Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, 125412 Moscow, Russia
3Department of Physics, Loughborough University, Loughborough LE11 3TU, United Kingdom
4Department of Physics and Astronomy, The University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
5Department of Physics, Center for Theoretical Physics, Applied Physics Program, Center for the Study of Complex Systems, The University of Michigan, Ann Arbor, Michigan 48109-1040, USA

Received 21 October 2007; revised 26 January 2008; published 4 April 2008

We consider the propagation of a classical electromagnetic wave through a transmission line, formed by identical superconducting charge qubits inside a superconducting resonator. Since the qubits can be in a coherent superposition of quantum states, we show that such a system demonstrates interesting effects, such as a “breathing” photonic crystal with an oscillating band gap and a “quantum Archimedean screw” that transports, at an arbitrary controlled velocity, Josephson plasma waves through a transmission line. The key ingredient of these effects is that the optical properties of the Josephson transmission line are controlled by the quantum coherent state of the qubits.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.77.144507
DOI:
10.1103/PhysRevB.77.144507
PACS:
74.78.Fk, 74.50.+r, 42.50.−p