Mesoscopic superposition and sub-Planck-scale structure in molecular wave packets

Abstract

We demonstrate the possibility of realizing sub-Planck-scale structures in the mesoscopic superposition of molecular wave packets involving vibrational levels. The time evolution of the wave packet, taken here as the SU(2) coherent state of the Morse potential describing hydrogen iodide molecules, produces macroscopicquantum- superposition-like states, responsible for the above phenomenon. We investigate the phase-space dynamics of the coherent state through the Wigner function approach and identify the interference phenomena behind the sub-Planck-scale structures. The optimal parameter ranges are specified for observing these features.

4 pages, 3 figures

References in corpus (6)

• Quantum wave packet revivals
• Sub-Planck spots of Schroedinger cats and quantum decoherence
• Entanglement of a Mesoscopic Field with an Atom induced by Photon Graininess in a Cavity
• The Evolution and Revival Structure of Localized Quantum Wave Packets
• Mesoscopic Superposition of States with Sub-Planck Structures in Phase Space
• Coherent states for exactly solvable potentials

Cited by in corpus (22)

• Identifying wave packet fractional revivals by means of information entropy
• Sub-Planck scale structures in the P{ö}schl-Teller potential and their sensitivity to perturbations
• Sub-Planck scale structures in a vibrating molecule in the presence of decoherence
• Entanglement induced Sub-Planck structures
• Quantum Hypercube States
• Sub-Planck phase-space structure and sensitivity for SU(1,1) compass states
• 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
• A time frequency analysis of wave packet fractional revivals
• Direct Measurement of Time-Frequency Analogues of Sub-Planck Structures
• Matter-wave Fractional Revivals in a Ring Waveguide
• 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
• Compasslike states in a thermal reservoir and fragility of their nonclassical features
• Sub-Planck structure in a mixed state
• Cat state, sub-Planck structure and weak measurement
• Sub-shot-noise sensitivity via superpositions of two deformed kitten states
• Nonlinear dynamics of superpostion of wavepackets
• Nonclassicality and sub-Planck structures of photon subtracted compass states
• Nonlinearity mediated miscibility dynamics of mass-imbalanced binary Bose Einstein condensate for circular atomtronics