Quantum interference structures in trapped ion dynamics beyond the Lamb-Dicke and rotating wave approximations

Abstract

We apply wave packet methods to study an ion-trap system in the strong excitation regime imposing neither the rotating wave nor the Lamb-Dicke approximations. By this approach we show the existence of states with restricted phase space evolution, as a genuine consequence of quantum interference between wave packet fractions. A particular instance of such a state oscillates between maximal entanglement and pure disentanglement between the constitute subsystems. The characteristic crossover time is very rapid making them suitable for state preparations of EPR or Schrodinger cat states. Over longer time periods the dynamics of these states exhibits collapse-revival patterns with well resolved fractional revivals in autocorrelation, inversion and entanglement.

11 pages, 5 figures. Replaced with revised version. Phys. Rev. A 77, 053808 (2008)

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• Coupled two-component atomic gas in an optical lattice
• Ground state of the asymmetric Rabi model in the ultrastrong coupling regime
• Quantum fluctuations in the mazer
• Dynamics of a quantum oscillator strongly and off-resonantly coupled with a two-level system
• Anomalous decoherence and absence of thermalization in a photonic many-body system
• Perturbative approach to the dynamics of a trapped ion interacting with a light field
• Ground state of three qubits coupled to a harmonic oscillator with ultrastrong coupling
• Adiabatic approximation for three qubits ultrastrongly coupled to a harmonic oscillator
• On Nonlinear Bosonic Coherent States
• Generating nonclassical states of motion using spontaneous emission