Master Equation and Control of an Open Quantum System with Leakage

Details Master Equation and Control of an Open Quantum System with Leakage Master Equation and Control of an Open Quantum System with Leakage

2009-02-27

arxiv.org/abs/0903.0021v1

Phys. Rev. Lett. 102, 080405 (2009)

Physics

Quantum Physics

5 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.102.080405

Given a multilevel system coupled to a bath, we use a Feshbach P,Q partitioning technique to derive an exact trace-nonpreserving master equation for a subspace $\mathcal{S}_{i}$ of the system. The resultant equation properly treats the leakage effect from $\mathcal{S}_{i}$ into the remainder of the system space. Focusing on a second-order approximation, we show that a one-dimensional master equation is sufficient to study problems of quantum state storage and is a good approximation, or exact, for several analytical models. It allows a natural definition of a leakage function and its control, and provides a general approach to study and control decoherence and leakage. Numerical calculations on an harmonic oscillator coupled to a room temperature harmonic bath show that the leakage can be suppressed by the pulse control technique without requiring ideal pulses.

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