The theory of heating of the quantum ground state of trapped ions

Abstract

Using a displacement operator formalism, I analyse the depopulation of the vibrational ground state of trapped ions. Two heating times, one characterizing short time behaviour, the other long time behaviour are found. The short time behaviour is analyzed both for single and multiple ions, and a formula for the relative heating rates of different modes is derived. The possibility of correction of heating via the quantum Zeno effect, and the exploitation of the suppression of heating of higher modes to reduce errors in quantum computation is considered.

9 pages, 2 figures

References in corpus (3)

• Experimental issues in coherent quantum-state manipulation of trapped atomic ions
• Cooling the Collective Motion of Trapped Ions to Initialize a Quantum Register
• Decoherence in ion traps due to laser intensity and phase fluctuations

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