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arXiv · 1003.3750

Optimal control technique for Many Body Quantum Systems dynamics

Patrick Doria·Tommaso Calarco·Simone Montangero
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Abstract

We present an efficient strategy for controlling a vast range of non-integrable quantum many body one-dimensional systems that can be merged with state-of-the-art tensor network simulation methods like the density Matrix Renormalization Group. To demonstrate its potential, we employ it to solve a major issue in current optical-lattice physics with ultra-cold atoms: we show how to reduce by about two orders of magnitudes the time needed to bring a superfluid gas into a Mott insulator state, while suppressing defects by more than one order of magnitude as compared to current experiments [1]. Finally, we show that the optimal pulse is robust against atom number fluctuations.

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Patrick Doria, Tommaso Calarco, Simone Montangero. 2011-06-14. Optimal control technique for Many Body Quantum Systems dynamics. https://doi.org/10.1103/physrevlett.106.190501

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