Hong-Ou-Mandel interference of entangled Hermite-Gauss modes

  title={Hong-Ou-Mandel interference of entangled Hermite-Gauss modes},
  author={Yingwen Zhang and F. Stef Roux and Ebrahim Karimi and Andrew Forbes},
  journal={Physical Review A},
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… 

Figures from this paper

Entanglement distillation by Hong-Ou-Mandel interference with orbital angular momentum states
Entanglement is an invaluable resource to various quantum communication, metrology, and computing processes. In particular, spatial entanglement has become topical, owing to its wider Hilbert space
Manipulating the symmetry of transverse momentum entangled biphoton states
Bell states are a fundamental resource in photonic quantum information processing. These states have been generated successfully in many photonic degrees of freedom. Their manipulation, how-ever, in
Single-path Two-photon Interference Effects Between Spatial Modes
Two-photon interference effects have been examined extensively from the simple Hong-Ou-Mandel interference in a beamsplitter to complex interferences in multiport devices. Their applications range
High-speed imaging of spatiotemporal correlations in Hong-Ou-Mandel interference
The Hong-Ou-Mandel interference effect lies at the heart of many emerging quantum technologies whose performance can be significantly enhanced with increasing numbers of entangled modes one could
Ghost imaging with engineered quantum states by Hong–Ou–Mandel interference
Traditional ghost imaging experiments exploit position correlations between correlated states of light. These correlations occur directly in spontaneous parametric down-conversion (SPDC), and in such
Optimal Pump Shaping for Entanglement Control in Any Countable Basis
Controlling spatial mode entanglement of bi‐photon states has become paramount in quantum optics experiments, where a spontaneous parametric downconversion (SPDC) state is tailored into a desired
Tera-mode of Spatiotemporal N00N States
Two-photon interference is widely used in quantum information processing, e.g., state engineering and designing quantum gates, as well as in quantum sensing and metrology. This includes the
Selective tuning of Hilbert spaces in states encoded with spatial modes of light
Spatial modes of light directly give the most easily accessible degree of freedom that span an infinite dimensional Hilbert space. The higher dimensional spatial mode entanglement realized using
High-Dimensional Two-Photon Interference Effects in Spatial Modes.
The analog of the Hong-Ou-Mandel interference using a two-dimensional spatial-mode splitter is implemented, and the scheme is extended to observe coalescence and anticoalescence in different three- and four-dimensionalatial-mode multiports.
Concepts in quantum state tomography and classical implementation with intense light: a tutorial
A tomographic measurement is a ubiquitous tool for estimating the properties of quantum states, and its application is known as quantum state tomography (QST). The process involves manipulating


Anti-symmetrization reveals hidden entanglement
Two-photon anti-bunching at a beamsplitter is only possible if the photons are entangled in a specific state, anti-symmetric in the spatial modes. Thus, observation of anti-bunching is an indication
Proposal for demonstrating the Hong-Ou-Mandel effect with matter waves.
A measurement protocol for the multimode matter-wave field is formulated, which--unlike the typical two-mode optical case-bypasses the need for repeated measurements under different displacement settings of the beam splitter, markedly reducing the number of experimental runs required to map out the interference visibility.
Entangled Bessel-Gaussian beams.
It is shown that the OAM bandwidth in terms of BG modes can be increased by selection of particular radial wavevectors and leads to a flattening of the spectrum, which allows for higher dimensionality in the entangled state.
Multimode Hong-Ou-mandel interference.
The first-order Hermite-Gaussian modes are employed in an experiment in order to show that, by manipulating the pump beam, one can control the resulting two-photon interference behavior.
Conservation and entanglement of Hermite-Gaussian modes in parametric down-conversion
We show that the transfer of the angular spectrum of the pump beam to the two-photon state in spontaneous parametric down-conversion enables the generation of entangled Hermite-Gaussian modes. We
Generation of hyperentangled photon pairs.
It is experimentally demonstrate the first quantum system entangled in every degree of freedom (hyperentangled) and reports the tomography of a 2 x 2 x 3 x 3 system (36-dimensional Hilbert space), which is believed to be the first reported photonic entangled system of this size to be so characterized.
Optimal quantum cloning of orbital angular momentum photon qubits through Hong–Ou–Mandel coalescence
The orbital angular momentum (OAM) of light, associated with a helical structure of the wavefunction, has great potential in quantum photonics, as it allows a higher dimensional quantum space to be
Measurement of the spiral spectrum of entangled two-photon states.
It is shown that the phase-matching conditions can be used as a tool to enhance the azimuthal Schmidt number and to flatten the spectral profile, allowing the efficient production of high-quality multidimensional entangled states.
Interference of probability amplitudes: a simple demonstration within the Hong–Ou–Mandel experiment
The dip in the Hong–Ou–Mandel (HOM) experiment is frequently attributed to the interference of two indistinguishable photons. The width of the dip is inversely proportional to the spectral bandwidth
Bell-Type Test of Energy-Time Entangled Qutrits
We have performed a Bell-type test for energy-time entangled qutrits. A method of inferring the Bell violation in terms of an associated interference visibility is derived. Using this scheme we