A size criterion for macroscopic superposition states

Abstract

An operational measure to quantify the sizes of some ``macroscopic quantum superpositions'', realized in recent experiments, is proposed. The measure is based on the fact that a superposition presents greater sensitivity in interferometric applications than its superposed constituent states. This enhanced sensitivity, or ``interference utility'', may then be used as a size criterion among superpositions.

LaTeX2e-REVTeX4, 9 pages, 3 figures. V2: introduction and discussion slightly altered

References in corpus (9)

• Decoherence, einselection, and the quantum origins of the classical
• Experimental long-lived entanglement of two macroscopic objects
• Towards quantum superpositions of a mirror
• Entangled Quantum States of Magnetic Dipoles
• Surpassing the standard quantum limit for optical imaging using non-classical multimode light
• Entanglement of a Mesoscopic Field with an Atom induced by Photon Graininess in a Cavity
• Quantum limits in the measurement of very small displacements in optical images
• On the effective size of certain "Schrödinger cat'' like states
• Superconducting Analogues of Quantum Optical Phenomena: Macroscopic Quantum Superpositions and Squeezing in a SQUID Ring

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