Abstract
Waves may fail to propagate in random media. First predicted for quantum particles in the presence of a disordered potential, Anderson localization has been observed also in classical acoustics, electromagnetism and optics. Here, I report the observation of Anderson localization of pairs of entangled photons in a two-particle discrete quantum walk affected by position dependent disorder. The quantum walk on a disordered lattice is realized by starting from an integrated array of interferometersfabricated in glass by femtosecond laser writing and using a novel technique to introduce a controlled phase shift into each unit mesh of the network. Polarization entanglement is exploited to simulate the different symmetries of the two-walker system.
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Notes
- 1.
The pattern of phases of each QW circuit, has been selected between many randomly chosen patterns in such a way that the strength of localization was the maximum achievable.
- 2.
The set {\(\phi _n\)} has been selected a posteriori: between some randomly chosen sets we choose the pattern of phases which mostly manifested the expected behavior. This choice does not represent a loss of generality, because we are not demonstrating that each pattern of phases gives rise to a classical distribution (in the case of space-correlated dynamic disorder) or to a speckle distribution (when uncorrelated dynamic disorder is implemented), but that it is possible to observe these phenomena on our chip.
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Sansoni, L. (2014). Quantum Transport in Presence of Disorder. In: Integrated Devices for Quantum Information with Polarization Encoded Qubits. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-07103-9_10
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DOI: https://doi.org/10.1007/978-3-319-07103-9_10
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