Probing the effects of interaction in Anderson localization using linear photonic lattices

Abstract

We show how two-dimensional waveguide arrays can be used to probe the effect of on-site interaction on Anderson localization of two interacting bosons in one dimension. It is shown that classical light and linear elements are sufficient to experimentally probe the interplay between interaction and disorder in this setting. For experimental relevance, we evaluate the participation ratio and the intensity correlation function as measures of localization for two types of disorder (diagonal and off-diagonal), for two types of interaction (repulsive and attractive), and for a variety of initial input states. Employing a commonly used set of initial states, we show that the effect of interaction on Anderson localization is strongly dependent on the type of disorder and initial conditions, but is independent of whether the interaction is repulsive or attractive. We then analyze a certain type of entangled input state where the type of interaction is relevant and discuss how it can be naturally implemented in waveguide arrays. We conclude by laying out the details of the two-dimensional photonic lattice implementation including the required parameter regime.

5 pages, 5 figures

References in corpus (11)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Repulsively bound atom pairs in an optical lattice
• Anderson localization of entangled photons in an integrated quantum walk
• Destruction of Anderson localization by a weak nonlinearity
• Universal spreading of wavepackets in disordered nonlinear systems
• Quantum Correlations in Two-Particle Anderson Localization
• Fractional Bloch oscillations in photonic lattices
• Nonequilibrium chaos of disordered nonlinear waves
• Biphoton generation in quadratic waveguide arrays: A classical optical simulation
• Anderson localization of pairs in bichromatic optical lattices
• Expansion of a wave-packet in lattices with disorder and nonlinearity

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• Quantum entanglement and drifting generated by an AC field resonant with frequency-doubled Bloch oscillations of correlated particles
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• Dirac equation on a square waveguide lattice with site-dependent coupling strengths and the gravitational Aharonov-Bohm effect
• Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
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• Localization of Pairs in One-Dimensional Quasicrystals with Power-Law Hopping
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