Detecting entanglement in spatial interference

Abstract

We discuss an experimentally amenable class of two-particle states of motion giving rise to nonlocal spatial interference under position measurements. Using the concept of modular variables, we derive a separability criterion which is violated by these non-Gaussian states. While we focus on the free motion of material particles, the presented results are valid for any pair of canonically conjugate continuous variable observables and should apply to a variety of bipartite interference phenomena.

4 pages; corresponds to published version

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• A Kapitza-Dirac-Talbot-Lau interferometer for highly polarizable molecules
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• Bell test for the free motion of material particles
• Maximal violation of Bell inequalities by position measurements
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Cited by in corpus (28)

• Essential entanglement for atomic and molecular physics
• Experimental Observation of Quantum Correlations in Modular Variables
• Quantum information processing in phase space: A modular variables approach
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• Contextuality in phase space
• Experimental Test of the Quantum Violation of the Noncontextuality Inequalities for the n-Cycle Scenario
• Continuous discretization of infinite dimensional Hilbert spaces
• Characterizing twin-particle entanglement in double-well potentials
• Uncertainty Relations for coarse-grained measurements: an overview
• Disorder-robust entanglement transport
• Mechanical Entanglement via Detuned Parametric Amplification
• Proposal for a macroscopic test of local realism with phase-space measurements
• Dynamical nonlocality in quantum time via modular operators
• Detecting continuous variable entanglement in phase space with the $Q$-distribution
• General class of continuous variable entanglement criteria
• Nonlocal Young tests with Einstein-Podolsky-Rosen correlated particle pairs
• Uncertainty in the context of multislit interferometry
• Coherent-cluster-state generation in networks of degenerate optical parametric oscillators
• Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems
• Mutually Unbiased Coarse-Grained Measurements of Two or More Phase-Space Variables
• Entropic uncertainty relations for mutually unbiased periodic coarse-grained observables resemble their discrete counterparts
• Wigner distribution on a double cylinder phase space for studying quantum error correction protocol
• Periodic discretized continuous observables are neither continuous nor discrete
• Experimental kernel-based quantum machine learning in finite feature space
• Cat-state-like non-Gaussian entanglement in magnon systems
• Hidden tensor structures
• Arbitrarily large violations of non-contextuality in single mode photon states with positive Wigner function