Quantum theory of heating of a single trapped ion

Intravaia, F, Maniscalco, S, Piilo, J, Messina, Andrea · CERN Document Server (European Organization for Nuclear Research) · 2002

The heating of trapped ions due to the interaction with a quantized environment is studied without performing the Born-Markov approximation. A generalized master equation local in time is derived and a novel theoretical approach to solve it analytically is proposed. Our master equation is in the Lindblad form with time dependent coefficients, thus allowing the simulation of the dynamics by means of the Monte Carlo Wave Function (MCWF) method. For such a system, this is the first demonstration of the applicability of the quantum jump MCWF method in the non-Markovian regime.

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