Coherent Atom Transport via Enhanced Shortcuts to Adiabaticity: Double-Well Optical Lattice

• URL: http://arxiv.org/abs/2112.14039v3
• Date: Sat, 9 Jul 2022 17:34:32 GMT
• Title: Coherent Atom Transport via Enhanced Shortcuts to Adiabaticity: Double-Well Optical Lattice
• Authors: Sascha H. Hauck, Vladimir M. Stojanovic
• Abstract summary: We study fast atomic transport in a moving em double-well optical lattice. We use two classes of quantum-control methods: shortcuts to adiabaticity (STA) and enhanced STA. This study has direct implications for neutral-atom quantum computing.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Theoretical studies of coherent atom transport have as yet mainly been restricted to one-dimensional model systems with harmonic trapping potentials. Here we investigate this important phenomenon -- a prerequisite for a variety of quantum-technology applications based on cold neutral atoms -- under much more complex physical circumstances. More specificially yet, we study fast atomic transport in a moving {\em double-well optical lattice}, whose three-dimensional (anharmonic) potential is nonseparable in the $x-y$ plane. We first propose specific configurations of acousto-optic modulators that give rise to the moving-lattice effect in an arbitrary direction in this plane. We then determine moving-lattice trajectories that enable single-atom transport using two classes of quantum-control methods: shortcuts to adiabaticity (STA), here utilized in the form of inverse engineering based on a quadratic-in-momentum dynamical invariant of Lewis-Riesenfeld type, and their recently proposed modification termed enhanced STA (eSTA). Subsequently, we quantify the resulting single-atom dynamics by numerically solving the relevant time-dependent Schr\"{o}dinger equations and compare the efficiency of STA- and eSTA-based transport by evaluating the respective fidelities. We show that -- except for the regime of shallow lattices -- the eSTA method consistently outperforms its STA counterpart. This study has direct implications for neutral-atom quantum computing based on collisional entangling two-qubit gates and quantum sensing of constant homogeneous forces via guided-atom interferometry.

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