A theoretical scheme for the realization of the sphere-coherent motional states in an atom-assisted optomechanical cavity

Abstract

A theoretical scheme for the realization of the sphere-coherent motional states in an optomechanical cavity in the presence of a two-level atom is proposed. To this end, the analogy between an atom-assisted optomechanical cavity and a laser-driven trapped-ion system is used. This analogy provides us with a theoretical tool to show how sphere-coherent states can be generated for the motional degree of freedom of the macroscopic mechanical oscillator from atom-field-mirror interactions in a multi-mode optomechanical cavity. Some nonclassical properties of the generated state of the mechanical oscillator, including the degree of quadrature squeezing and the negativity of the Wigner distribution are studied. We also examine the effects of the dissipation mechanisms involved in the system under consideration, including the atomic spontaneous emission and the damping of the motion of the mechanical oscillator, on the generated motional sphere-coherent states.

References in corpus (24)

• Cavity Optomechanics
• Laser cooling of a nanomechanical oscillator into its quantum ground state
• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Negativity of the Wigner function as an indicator of nonclassicality
• Single-photon Optomechanics
• f-Oscillators and Nonlinear Coherent States
• Nanomechanical motion measured with precision beyond the standard quantum limit
• Preparation of Nonclassical States in Cavities with a Moving Mirror
• Near-field cavity optomechanics with nanomechanical oscillators
• Strong coupling of a mechanical oscillator and a single atom
• Bose-Einstein condensate coupled to a nanomechanical resonator on an atom chip
• Cavity optomechanical coupling assisted by an atomic gas
• Realization of an optomechanical interface between ultracold atoms and a membrane
• Resonant coupling of a Bose-Einstein condensate to a micromechanical oscillator
• Simultaneous cooling and entanglement of mechanical modes of a micromirror in an optical cavity
• Effective Hamiltonian approach to the Kerr nonlinearity in an optomechanical system
• Equivalence between an optomechanical system and a Kerr medium
• Single-Atom Cavity QED and Opto-Micromechanics
• Opto-mechanical micro-macro entanglement
• Probing optomechanical correlations between two optical beams down to the quantum level
• Engineering of nonclassical motional states in optomechanical systems
• Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator
• Activating optomechanical entanglement
• Generation of motional nonlinear coherent states and their superpositions via intensity-dependent coupling of a cavity field to a micromechanical membrane

Cited by in corpus (4)

• Force sensing in hybrid Bose-Einstein condensate optomechanics based on parametric amplification
• Ultra-precision quantum sensing and measurement based on nonlinear hybrid optomechanical systems containing ultracold atoms or atomic Bose-Einstein condensate
• Strong quadrature squeezing and quantum amplification in a coupled Bose-Einstein condensate- optomechanical cavity via coherent modulation
• Analog curved spacetimes in the reversed dissipation regime of cavity optomechanics