Entanglement induced Sub-Planck structures

Abstract

We study Wigner function of a system describing entanglement of two cat-states. Quantum interferece arising due to entanglement is shown to produce sub-Planck structures in the phase-space plots of the Wigner function. Origin of these structures in our case depends on entanglement unlike those in Zurek \cite{Zurek}. It is argued that the entangled cat-states are better suited for carrying out precision measurements.

6 pages 2 figures (revised version include more quantitative discussion)

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Cited by in corpus (16)

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• Sub-Planck scale structures in a vibrating molecule in the presence of decoherence
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• Sub-Planck structures: Analogies between the Heisenberg-Weyl and SU(2) groups
• Sub-Planck structures and sensitivity of the superposed photon-added or photon-subtracted squeezed-vacuum states
• Superposing compass states for asymptotic isotropic sub-Planck phase-space sensitivity
• Direct Measurement of Time-Frequency Analogues of Sub-Planck Structures
• Diffraction limit of the sub-Planck structures
• Coherent control of mesoscopic superpositions in a diatomic molecule
• Enhanced Quantum Sensitivity in a Vibrating Diatomic Molecule due to Rotational Amendment
• Transition to sub-Planck structures through the superposition of q-oscillator stationary states
• Sub-Planck structure in a mixed state
• Optical Schrödinger Cat States in One Mode and two Coupled-Modes Subject to Environments
• Cat state, sub-Planck structure and weak measurement
• Compass state: Effect of squeezing and displacement on the Fock space
• Sub-shot-noise sensitivity via superpositions of two deformed kitten states