Two-photon wave mechanics

Abstract

The position-representation wave function for multi-photon states and its equation of motion are introduced. A major strength of the theory is that it describes the complete evolution (including polarization and entanglement) of multi-photon states propagating through inhomogeneous media. As a demonstration of the two-photon wave function's use, we show how two photons in an orbital-angular-momentum entangled state decohere upon propagation through a turbulent atmosphere.

5 pages, 2 figures

References in corpus (5)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Quantum Information and Relativity Theory
• Multimode Hong-Ou-Mandel interference
• Diagnosis, prescription and prognosis of a Bell-state filter by quantum process tomography
• Measurement of the transverse spatial quantum state of light at the single-photon level

Cited by in corpus (40)

• Quantum walks of correlated particles
• Beating the channel capacity limit for linear photonic superdense coding
• Spatial correlations in parametric down-conversion
• Influence of Atmospheric Turbulence on Optical Communications using Orbital Angular Momentum for Encoding
• Photon wave functions, wave-packet quantization of light, and coherence theory
• Two-photon quantum walk in a multimode fiber
• Orbital angular momentum entanglement in turbulence
• Quantum light in the turbulent atmosphere
• The effect of atmospheric turbulence on entangled orbital angular momentum states
• Infinitesimal propagation equation for decoherence of an OAM entangled biphoton in atmospheric turbulence
• Universal entanglement decay in atmospheric turbulence
• Entanglement transfer through the turbulent atmosphere
• Spacetime algebra as a powerful tool for electromagnetism
• Entanglement protection of high-dimensional states by adaptive optics
• Protecting entanglement of twisted photons by adaptive optics
• Experimentally observed decay of higher-dimensional entanglement through turbulence
• The Photon Wavefunction: a covariant formulation and equivalence with QED
• Photon wave mechanics and position eigenvectors
• Protecting OAM Photons from Decoherence in a Turbulent Atmosphere
• Quantum Reality via Late Time Photodetection
• Phenomenology of complex structured light in turbulent air
• Resilience of hybrid optical angular momentum qubits to turbulence
• Robust entangled qutrit states in atmospheric turbulence
• Interaction between light and matter: A photon wave function approach
• Lindblad equation for the decay of entanglement due to atmospheric scintillation
• Mitigating the effect of atmospheric turbulence on orbital angular momentum-based quantum key distribution using real-time adaptive optics with phase unwrapping
• Combining spatio-temporal and particle-number degrees of freedom
• Photon wave function and zitterbewegung
• Vector mode decay in atmospheric turbulence: a quantum inspired analysis
• Universal entanglement decay of photonic orbital angular momentum qubit states in atmospheric turbulence: an analytical treatment
• Diffraction-induced entanglement loss of orbital-angular-momentum states
• Quantum entanglement based on surface phonon polaritons in condensed matter systems
• Stokes--anti-Stokes light scattering process: -- A photon-wave-function approach
• Quantum channel correction with twisted light using compressive sensing
• Generally covariant $N$-particle dynamics
• Biphoton states in correlated turbulence
• Evolution equation for multi-photon states in turbulence
• Non-Markovian evolution of photonic quantum states in atmospheric turbulence
• Emergent broadband polarization entanglement from electronic and phononic Stokes-anti-Stokes indistinguishability
• Universal decay of quantumness for photonic qubits carrying orbital angular momentum through atmospheric turbulence