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Generation and shaping of photon pairs in nonlinear waveguide arrays

Andrey A. Sukhorukov

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

As quantum optics grows and develops, new sophisticated optical schemes require an increasing number of optical elements. Integrated photonic circuits have the capacity to provide a solution to this challenge, as they are intrinsically scalable and interferometrically stable. Integrated realization of multi-photon entanglement, quantum factoring algorithms, and polarization entanglement has already been demonstrated. One of particularly interesting structures in integrated photonics is the waveguide array, which enables flexible shaping of optical beam and pulses in space. Recently waveguide arrays have been shown to generate unusual and strongly non-classical spatial correlations of photon pairs propagating in the regime of quantum walks [1].

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As quantum optics grows and develops, new sophisticated optical schemes require an increasing number of optical elements. Integrated photonic circuits have the capacity to provide a solution to this challenge, as they are intrinsically scalable and interferometrically stable. Integrated realization of multi-photon entanglement, quantum factoring algorithms, and polarization entanglement has already been demonstrated. One of particularly interesting structures in integrated photonics is the waveguide array, which enables flexible shaping of optical beam and pulses in space. Recently waveguide arrays have been shown to generate unusual and strongly non-classical spatial correlations of photon pairs propagating in the regime of quantum walks [1].
Integrated optical circuits enable stable and scalable realization of quantum logic devices, which can form a basis for the mass production of photonic chips for quantum communications and computations. An important challenge is the integration of single-photon sources, which should provide on-chip generation and preparation of quantum photon states. Spontaneous parametric down-conversion (SPDC) provides an attractive solution for experimental generation of correlated and entangled photon pairs [1,2]. However, internal losses in the waveguides may still be present, affecting nontrivially the emerging photon state [3].
Arrays of coupled optical waveguides provide a flexible platform for manipulation of optical beams and pulses. Recently, the propagation of non-classical light in waveguide arrays has shown a surging attention. It was shown that quantum walks of correlated photon pairs realized through propagation in waveguide arrays can lead to nontrivial quantum correlations at the array output. However, all currently used schemes for quantum walks utilise correlated photon pairs generated externally to the array. Here, we propose and demonstrate numerically a novel scheme enabling simultaneous generation of correlated photon pair through spontaneous parametric downconversion (SPDC) and quantum walks inside a single photonic element an array of quadratic nonlinear waveguides. This scheme avoids entirely the need for complex interfaces between the different photonic elements and enables novel ways for control of the quantum correlations.
The efficient generation of non-classical light at the micro- and nanoscale is central to the development of quantum technologies. Integrated photonic structures offer new opportunities for increasing the generation efficiency and control of the quantum state of non-classical light. Recently, photonic structures based on topology conservation have been proposed as platforms to overcome issues associated with disorder and fabrication imperfections. For instance, it has been suggested that topological edge states can be exploited for the generation of photon pairs having robust spectral correlations [1]. More recently, the effect of topology on path correlations of photon pairs generated by spontaneous four-wave mixing (SFWM) in waveguide arrays has also been investigated [2].
In the last years the increasing complexity of quantum information protocols triggered the development of integrated waveguide technology for quantum applications [1-3] such that stability is intrinsically obtained thanks to the combination of many optical elements on a monolithic chip and scalability is potentially achievable. In this context the realization of integrated sources of quantum light is of fundamental interest. Some experimental implementations using parametric down conversion in nonlinear materials [4], as well as in semiconductors [5] have been reported. However, in the landscape of integrated devices, the realization of one important source of entangled states is still missing: a source of spectrally indistinguishable photon pairs emitted on two different spatial modes, which share entanglement in the polarization degree of freedom without the need of post-selection. This source is widely adopted in bulk setups [6], indeed entanglement is a fundamental requirement for quantum information purposes and the polarization of photons is the most used degree of freedom for quantum information encoding. However the implementation of such a scheme in integrated waveguides is a challenging task due to the combination of orthogonal polarizations and the need of two different spatial modes.
∗ both authors contributed equally Quantum entanglement, the non-separability of a multipartite wave function, became essential in understanding the non-locality of quantum mechanics. In optics, this non-locality can be demon-strated on impressively large length scales, as photons travel with the speed of light and interact only weakly with their environment. With the discovery of spontaneous parametric down-conversion (SPDC) in nonlinear crystals, an efficient source for entangled photon pairs, so-called biphotons, be-came available. It has recently been shown that SPDC can also be implemented in nonlinear arrays of evanescently coupled waveguides which allows the generation and the investigation of correlated quantum walks of such biphotons in an integrated device. Here, we analytically and experimentally demonstrate that the biphoton degrees of freedom are entailed in an additional spatial dimension, therefore the SPDC and the subsequent quantum random walk in one-dimensional (1D) arrays can be simulated through classical optical beam propagation in a two-dimensional (2D) photonic lattice. Thereby, the output intensity images directly represent the biphoton correlations and exhibit a clear violation of a Bell-type inequality. PACS numbers: 42.50.-p, 42.82.Et, 42.65.Lm