Entanglement Detection Based on Interference and Particle Counting

Abstract

A sufficient condition for entanglement in two-mode continuous systems is constructed based on interference visibility and the uncertainty of the total particle number. The observables to be measured (particle numbers and particle number variances) are relatively easily accessible experimentally. The method may be used to detect entanglement in light fields or in Bose-Einstein condensates. In contrast to the standard approach based on entanglement witnesses, the condition is expressed in terms of an inequality which is nonlinear in expectation values.

6 pages, revtex4; an example together with a couple of paragraphs extra explanation is inserted in Sec. II.A + minor changes before publication

References in corpus (21)

• Separability Criterion for Density Matrices
• Peres-Horodecki separability criterion for continuous variable systems
• Inseparability criterion for continuous variable systems
• Separability criterion and inseparable mixed states with positive partial transposition
• Many-particle entanglement with Bose--Einstein condensates
• Entanglement of atoms via cold controlled collisions
• Unextendible Product Bases and Bound Entanglement
• Entanglement and Extreme Spin Squeezing
• Violation of local uncertainty relations as a signature of entanglement
• Detection of entanglement with few local measurements
• Direct detection of quantum entanglement
• Distillability Criterion for all Bipartite Gaussian States
• Separability Criterion for all bipartite Gaussian States
• Separability in 2xN composite quantum systems
• Operational criterion and constructive checks for the separability of low rank density matrices
• Mach-Zehnder Bragg interferometer for a Bose-Einstein Condensate
• Construction of quantum states with bound entanglement
• Theory of an Entanglement Laser
• Bound entanglement and continuous variables
• Natural Entanglement in Bose-Einstein Condensates
• Multiparticle entanglement and its experimental detection

Cited by in corpus (26)

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• Multiphoton Quantum Optics and Quantum State Engineering
• Entropic uncertainty relations and entanglement
• Nonlinear entanglement witnesses
• Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion
• Generalized spin squeezing inequalities in $N$ qubit systems: theory and experiment
• Universal observable detecting all two-qubit entanglement and determinant based separability tests
• Entanglement Detection in Optical Lattices of Bosonic Atoms with Collective Measurements
• Entanglement of Gaussian states using beam splitter
• Witnessing Entanglement with Second-Order Interference
• Continuous variable entanglement of phase locked light beams
• New Spin Squeezing and Other Entanglement Tests for Two Mode Systems of Identical Bosons
• Detecting entanglement with non-hermitian operators
• Number operator-annihilation operator uncertainty as an alternative of the number-phase uncertainty relation
• Number-phase entanglement and Einstein-Podolsky-Rosen steering
• Number-phase uncertainty relations and bipartite entanglement detection in spin ensembles
• Certifiable Lower Bounds of Wigner Negativity Volume and Non-Gaussian Entanglement with Conditional Displacement Gates
• Photonic families of non-Gaussian entangled states and entanglement criteria for continuous-variable systems
• Bell inequality for pairs of particle-number-superselection-rule restricted states
• Decoherence effects in Bose-Einstein condensate interferometry. I General Theory
• Characterizing Entanglement via Uncertainty Relations
• Characterization of multiqubit pure-state entanglement
• Teleportation of a quantum state of a spatial mode with a single massive particle
• On the separability criterion of bipartite states with certain non-Hermitian operators