Multiphoton synthetic lattices in multiport waveguide arrays: synthetic atoms and Fock graphs
Por:
Tschernig, Konrad, Leon-Montiel, Roberto de J., Perez-Leija, Armando, Busch, Kurt
Publicada:
1 jul 2020
Resumen:
Activating transitions between internal states of physical systems has
emerged as an appealing approach to create lattices and complex
networks. In such a scheme, the internal states or modes of a physical
system are regarded as lattice sites or network nodes in an abstract
space whose dimensionality may exceed the systems' apparent (geometric)
dimensionality. This introduces the notion of synthetic dimensions, thus
providing entirely novel pathways for fundamental research and
applications. Here, we analytically show that the propagation of
multiphoton states through multiport waveguide arrays gives rise to
synthetic dimensions where a single waveguide system generates a
multitude of synthetic lattices. Since these synthetic lattices exist in
photon-number space, we introduce the concept of pseudo-energy and
demonstrate its utility for studying multiphoton interference processes.
Specifically, the spectrum of the associated pseudo-energy operator
generates a unique ordering of the relevant states. Together with
generalized pseudo-energy ladder operators, this allows for representing
the dynamics of multiphoton states by way of pseudo-energy term diagrams
that are associated with a synthetic atom. As a result, the
pseudo-energy representation leads to concise analytical expressions for
the eigensystem of N photons propagating through M nearest-neighbor
coupled waveguides. In the regime where N >= 2 and M >= 3, nonlocal
coupling in Fock space gives rise to hitherto unknown all-optical dark
states that display intriguing nontrivial dynamics. (c) 2020 Chinese
Laser Press
Filiaciones:
Tschernig, Konrad:
Max Born Inst, D-12489 Berlin, Germany
Leon-Montiel, Roberto de J.:
Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Apartado Postal 70-543, Cd Mexico City 04510, Mexico
Perez-Leija, Armando:
Max Born Inst, D-12489 Berlin, Germany
Busch, Kurt:
Max Born Inst, D-12489 Berlin, Germany
Humboldt Univ, Inst Phys AG Theoret Opt & Photon, D-12489 Berlin, Germany
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