Dark pair coherent states of the motion of a trapped ion

Abstract

We propose a scheme for generating vibrational pair coherent states of the motion of an ion in a two-dimensional trap. In our scheme, the trapped ion is excited bichromatically by three laser beams along different directions in the X-Y plane of the ion trap. We show that if the initial vibrational state is given by a two-mode Fock state, the final steady state, indicated by the extinction of the fluorescence emitted by the ion, is a pure state. The motional state of the ion in the equilibrium realizes that of the highly-correlated pair coherent state.

14 pages, 3 figures

Cited by in corpus (32)

• Preparation of Nonclassical States in Cavities with a Moving Mirror
• Engineering two-mode interactions in ion traps
• Quantum mechanical counterpart of nonlinear optics
• Pair-cat codes: autonomous error-correction with low-order nonlinearity
• Journeys from Quantum Optics to Quantum Technology
• Generation of two-mode nonclassical states and a quantum phase gate operation in trapped ion cavity QED
• Nonlinear Decoherence in Quantum State Preparation of a Trapped Ion
• On the evolution of superposition of squeezed displaced number states with the multiphoton Jaynes-Cummings model
• Generation of two-mode nonclassical motional states and a Fredkin gate operation in a two-dimensional ion trap
• Preparation and light-mediated distribution of motional state entanglement
• Even and odd q-deformed charge coherent states and their nonclassical properties
• Interaction of bimodal fields with few-level atoms in cavities and traps
• Time-dependent nonlinear Jaynes-Cummings dynamics of a trapped ion
• Reconstruction of SU(1,1) States
• Generation and stabilization of entangled coherent states for the vibrational modes of a trapped ion
• Unitary relation for the time-dependent SU(1,1) systems
• Phase properties of the superposition of squeezed and displaced number states
• On a general formalism of nonlinear charge coherent states, their quantum statistics and nonclassical properties
• Generation of arbitrary two dimensional motional state of a trapped ion
• Enhancement of nonclassical properties of two-mode squeezed vacuum state with postselected von Neumann measurement
• Coherent manipulation of motional states of trapped ions
• Theoretical method for the generation of a dark two-mode squeezed state of a trapped ion
• k-Component q-deformed charge coherent states and their nonclassical properties
• Improved scheme for generation of vibrational trio coherent states of a trapped ion
• Decoherence and robustness of parity-dependent entanglement in the dynamics of a trapped ion
• Quantum effects of operator time ordering in the nonlinear Jaynes-Cummings model
• Generating nonclassical states of motion using spontaneous emission
• Even and odd nonlinear charge coherent states and their nonclassical properties
• Transient dynamics of the quantum Stuart-Landau oscillator
• On quantum states generated from interacting oscillators
• Unitary manipulation of a single atom in time and space --- The spatially-selective and internal-state-selective triggering pulses
• Anomalous quantum correlations in the motion of a trapped ion