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arXiv:2210.05628 · Physical Review Research

Mechanical rotation modifies the manifestation of photon entanglement

Marion Cromb, Sara Restuccia, Graham M. Gibson, Marko Toroš, Miles J. Padgett, Daniele Faccio

Published Apr 5, 2023• 19 citations
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Abstract

The modification by noninertial motion of the photon bunching properties of an entangled biphoton state is demonstrated. Sagnac interferometers are added to both arms of a Hong-Ou-Mandel (HOM) interferometer that is mounted on a mechanically rotating platform. As the platform rotation speed is increased, HOM interference dips transform into HOM interference peaks, indicating that the entangled photons pass from perfectly indistinguishable bunching (bosonic behavior) to perfectly distinguishable antibunching (fermionic behavior).

DOI
10.1103/physrevresearch.5.l022005

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Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)•Jun 26, 2023•0 citations
The modification by noninertial motion of the photon bunching properties of an entangled biphoton state is demonstrated. Sagnac interferometers are added to both arms of a Hong-Ou-Mandel (HOM) interferometer that is mounted on a mechanically rotating platform. As the platform rotation speed is increased, HOM interference dips transform into HOM interference peaks, indicating that the entangled photons pass from perfectly indistinguishable bunching (bosonic behavior) to perfectly distinguishable antibunching (fermionic behavior).
In this theoretical study, we demonstrate that entangled states are able to significantly extend the functionality of Hong-Ou-Mandel (HOM) interferometers. By generating a coherent superposition of parametric-down-conversion photons and spatial entanglement in the input channel, the coincidence probability measured at the output changes from a typical HOM-type dip (photon bunching) into much richer patterns, including an antibunching peak and rapid oscillation fringes with twice the optical frequency. The considered system should be realizable on a single chip using current waveguide technology in the LiNbO3{\mathrm{LiNbO}}_{3}LiNbO3​ platform.
Although quantum physics is well understood in inertial reference frames (flat spacetime), a current challenge is the search for experimental evidence of nontrivial or unexpected behavior of quantum systems in noninertial frames. Here, we present a novel test of quantum mechanics in a noninertial reference frame: we consider Hong-Ou-Mandel (HOM) interference on a rotating platform and study the effect of uniform rotation on the distinguishability of the photons. Both theory and experiments show that the rotational motion induces a relative delay in the photon arrival times at the exit beam splitter and that this delay is observed as a shift in the position of the HOM dip. This experiment can be extended to a full general relativistic test of quantum physics using satellites in Earth's orbit and indicates a new route toward the use of photonic technologies for investigating quantum mechanics at the interface with relativity.
We review recent experimental and theoretical results of photon interferometry on rotating platforms. Quantum phenomena such as two-photon interference and entanglement can be controlled with mechanical rotations in a regime accessible to table-top experiments. We first discuss experiments demonstrating how low-frequency mechanical rotations affect the bunching behavior of frequency-entangled photon pairs. It was shown that low-frequency mechanical rotations can affect the temporal distinguishability of photons and can transform photonic behavior from perfectly indistinguishable (bosonic behavior) to perfectly distinguishable (fermionic behavior). We then give a future outlook for testing the generation of entanglement from mechanical rotation. A recent theoretical work showed that generating path-polarization entanglement from mechanical rotations could be verified with present technology. These works make a strong case for further exploration of quantum phenomena at the interface with non-inertial (rotational) motion.
Hong-Ou-Mandel (HOM) interference is demonstrated experimentally for entangled photon pairs in the Hermite-Gauss (HG) basis. We use two Dove prisms in one of the paths of the photons to manipulate the entangled quantum state that enters the HOM interferometer. It is demonstrated that, when entangled photon pairs are in a symmetric Bell state in the Laguerre-Gauss (LG) basis, they will remain symmetric after decomposing them into the HG basis, thereby resulting in no coincidence events after the HOM interference. On the other hand, if the photon pairs are in an antisymmetric Bell state in the LG basis, then they will also be antisymmetric in the HG basis, thereby producing only coincidence events as a result of the HOM interference.
We investigate the two-photon scattering properties of a Jaynes-Cummings (JC) nonlinearity consisting of a two-level system (qubit) interacting with a single-mode cavity, which is coupled to two waveguides, each containing a single incident photon wave packet initially. In this scattering setup, we study the interplay between the Hong-Ou-Mandel (HOM) effect arising due to quantum interference and effective photon-photon interactions induced by the presence of the qubit. We calculate the two-photon scattering matrix of this system analytically and identify signatures of interference and interaction in the second-order auto- and cross-correlation functions of the scattered photons. In the dispersive regime, when qubit and cavity are far detuned from each other, we find that the JC nonlinearity can be used as an almost linear, in situ tunable beam splitter giving rise to ideal Hong-Ou-Mandel interference, generating a highly path-entangled two-photon NOON state of the scattered photons. The latter manifests itself in strongly suppressed waveguide cross-correlations and Poissonian photon number statistics in each waveguide. If the two-level system and the cavity are on resonance, the JC nonlinearity strongly modifies the ideal HOM conditions leading to a smaller degree of path entanglement and sub-Poissonian photon number statistics. In the latter regime, we find that photon blockade is associated with bunched autocorrelations in both waveguides, while a two-polariton resonance can lead to bunched as well as antibunched correlations.
Hong-Ou-Mandel (HOM) interference [1] is a bunching phenomenon based on the bosonic nature of photons. When two photons that are perfectly indistinguishable from each other are mixed using a half beam splitter (HBS), they always bunch and exhibit the absence of coincidence resulting in a specific interferogram called HOM dip. The important property of the HOM interference is that the decrease in coincidence reflects the degree of indistinguishability of the input photons, i.e., it provides information regarding the probability of overlap of the input photons. Thus, this property should enable the estimation of a target photon in an unknown quantum state using a probe photon in a known state. In this work, we realize the above concept as the quantum state tomography (QST) applicable tod-dimensionald\text{-dimensional}d-dimensionalphotonic qudits, which we call HOM-QST [2]. Interestingly, we observe that HOM-QST is robust against various imperfections and that the probe photon can be replaced by classical light. Furthermore, we confirm this by demonstrating a proof-of-principle experiment using two-dimensional polarization qubits.