# Decoherence in nonclassical motional states of a trapped ion

@article{Murao1998DecoherenceIN, title={Decoherence in nonclassical motional states of a trapped ion}, author={Mio Murao and P. L. Knight}, journal={Physical Review A}, year={1998}, volume={58}, pages={663-669} }

The decoherence of nonclassical motional states of a trapped $^9 {\rm Be^+}$ ion in a recent experiment is investigated theoretically. Sources of decoherence considered here destroy the characteristic coherent quantum dynamics of the system but do not cause energy dissipation. Here they are first introduced phenomenologically and then described using a microscopic Hamiltonian formulation. Theoretical predictions are compared to experimental results.

#### 33 Citations

Decoherence in non-classical states of a trapped ion

- Physics
- 2002

We assume that the origin of decoherence of non-classical motional states of a trapped ion is due to the coupling of the vibronic modes with classical stochastic electric fields and to the finite…

Decoherence of motional states of trapped ions

- Physics
- 2000

Abstract We have studied the decoherence of motional-state superpositions of single trapped ions caused by their coupling to fluctuating fields. We illustrate these studies by showing how…

Decoherence of motional superpositions of a trapped ion

- Physics
- 2003

Abstract We summarize experiments on the decoherence of motional superposition states of single trapped ions which were carried out at NIST. The decoherence was characterized by the loss of contrast…

Non-dissipative decoherence in Rabi oscillation experiments

- Physics
- 2000

Abstract Decoherence may be due to the fluctuations of some classical variable or parameter of a system, and not only to the entanglement with the environment. Here we derive a model-independent…

Decoherence of trapped-atom motional state superpositions

- Physics
- 2003

Experiments that investigate the decoherence of superpositions of motional states of trapped ions are described. Decoherence is characterized by the loss of contrast in Ramsey-type interferometer…

Nonextensive approach to decoherence in quantum mechanics

- Physics
- 2001

Abstract We propose a nonextensive generalization ( q -parametrized) of the von Neumann equation for the density operator. Our model naturally leads to the phenomenon of decoherence, and unitary…

Decoherence induced by a phase-damping reservoir

- Physics
- 2006

A phase damping reservoir composed by N-bosons coupled to a system of interest through a cross-Kerr interaction is proposed and its effects on quantum superpositions are investigated. By means of…

Non-Markovian dynamics of an open quantum system with nonstationary coupling.

- Physics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

The spectral, dissipative, and statistical properties of the damped quantum oscillator are studied in the case of non-Markovian and nonstationary system-heat bath coupling. The dissipation of…

Decoherence of quantum superpositions through coupling to engineered reservoirs

- Physics, MedicineNature
- 2000

Decoherence is induced by coupling the atom to engineered reservoirs, in which the coupling and state of the environment are controllable, and the decoherence rate scales with the square of a quantity describing the amplitude of the superposition state.

Decoherence of trapped-ion internal and vibrational modes: The effect of fluctuating magnetic fields

- Physics
- 2004

The effect of ambient magnetic fields on the dynamics of a single trapped ion is studied analytically. We consider two electronic states with energy separation stochastically varied by magnetic-field…

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