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Quantum State Transfer and Network Engineering pp 223–245Cite as

State Transfer Hamiltonians in Photonic Lattices

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Part of the book series: Quantum Science and Technology ((QST))

Abstract

Faithful communication is a necessary precondition for large scale all-optical networking and quantum information processing. Related theoretical investigations in different areas of physics have led to various proposals in which finite discrete lattices are used as channels for short-distance communication tasks. Here, in the framework of femtosecond-laser-written waveguide arrays, we present the first experimental realization of such a channel with judiciously engineered couplings. Various sources of imperfections and defects are identified, which are associated with the engineering procedure and affect the communication.

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Notes

  1. 1.

    At present we ignore losses and consider a charge and current free configuration.

  2. 2.

    As will be discussed later on, in the case of strong fields, the dependence of the refractive index (and of the permittivity) on the field strengths has to be taken into account.

  3. 3.

    In general, however, one may modify the refractive index in all three directions (see e.g. [2, 37]).

  4. 4.

    Throughout this chapter we consider monochromatic excitation of photonic lattices.

  5. 5.

    Variations of the mode amplitudes with z are sufficiently small to allow for the omission of second-order derivatives with respect to z.

  6. 6.

    Formally speaking, for the jth waveguide this means that the typical sizes of \(\mathbf{}E_{j}(x,y)\) and \(\varDelta n_{j}^{2}(x,y)\), are much smaller than the separation of the jth waveguide from its neighbours.

  7. 7.

    The engineering of a lattice with N = 9 waveguides took us 8–9 h and the stability of the laser source was not guaranteed during this period.

  8. 8.

    Standard amplifiers delivering few 100 kHz are usually employed and high-energy oscillators with a repetition rate up to few MHz become now available.

  9. 9.

    Translation stages for laser micromachining applications with accuracy less than 0.1 μm are also available.

  10. 10.

    Although throughout this theoretical model we consider monochromatic excitation of the lattice, in the case of broadband very short pulses temporal effects should be considered as well.

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Author information

Author notes

  1. Matthieu Bellec

    Present address: Laboratoire Physique de la Matière Condensée, CNRS UMR 7336, Université Nice-Sophia Antipolis, 06100, Nice, France

Authors and Affiliations

  1. Institute of Electronic Structure and Laser, Foundation for Research and Technology – Hellas, 1385, Heraklion, GR-71110, Greece

    Matthieu Bellec

  2. Institute of Electronic Structure and Laser, Foundation for Research and Technology – Hellas, 1385, GR-71110, Heraklion, Greece

    Georgios M. Nikolopoulos & Stelios Tzortzakis

  3. Department of Materials Science and Technology, University of Crete, 2208, Heraklion, GR-71003, Greece

    Stelios Tzortzakis

Authors
  1. Matthieu Bellec
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  2. Georgios M. Nikolopoulos
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  3. Stelios Tzortzakis
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Correspondence to Matthieu Bellec .

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Editors and Affiliations

  1. Institute of Electronic Structure and Laser, Foundation for Research and Technology - Hellas, Heraklion, Greece

    Georgios M. Nikolopoulos

  2. Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University Department of Physics, Prague, Czech Republic

    Igor Jex

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Bellec, M., Nikolopoulos, G.M., Tzortzakis, S. (2014). State Transfer Hamiltonians in Photonic Lattices. In: Nikolopoulos, G., Jex, I. (eds) Quantum State Transfer and Network Engineering. Quantum Science and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39937-4_7

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  • DOI: https://doi.org/10.1007/978-3-642-39937-4_7

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