Optimal control technique for Many Body Quantum Systems dynamics

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.

5 pages, 4 figures, published version

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Control of quantum phenomena: Past, present, and future
• Renormalization and tensor product states in spin chains and lattices
• Robust optimal quantum gates for Josephson charge qubits
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• Heavily Damped Motion of One-Dimensional Bose Gases in an Optical Lattice

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