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arXiv:1812.10999 · Scientific Reports

Optimal control of the transport of Bose-Einstein condensates with atom chips

Sirine Amri, Robin Corgier, Dominique Sugny, Ernst Maria Rasel, N. Gaaloul, E. Charron

Published Mar 29, 2019• 42 citations
arXivHTMLPDF

Abstract

Using Optimal Control Theory (OCT), we design fast ramps for the controlled transport of Bose-Einstein condensates with atom chips' magnetic traps. These ramps are engineered in the context of precision atom interferometry experiments and support transport over large distances, typically of the order of 1 mm, i.e. about 1,000 times the size of the atomic clouds, yet with durations not exceeding 200 ms. We show that with such transport durations of the order of the trap period, one can recover the ground state of the final trap at the end of the transport. The performance of the OCT procedure is compared to that of a Shortcut-To-Adiabaticity (STA) protocol and the respective advantages/disadvantages of the OCT treatment over the STA one are discussed.

DOI
10.1038/s41598-019-41784-z

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Using Optimal Control Theory (OCT), we design fast ramps for the controlled transport of Bose-Einstein condensates with atom chips' magnetic traps. These ramps are engineered in the context of precision atom interferometry experiments and support transport over large distances, typically of the order of 1 mm, i.e. about 1,000 times the size of the atomic clouds, yet with durations not exceeding 200 ms. We show that with such transport durations of the order of the trap period, one can recover the ground state of the final trap at the end of the transport. The performance of the OCT procedure is compared to that of a Shortcut-To-Adiabaticity (STA) protocol and the respective advantages/disadvantages of the OCT treatment over the STA one are discussed.
Using Optimal Control Theory (OCT), we design fast ramps for the controlled transport of Bose-Einstein condensates with atom chips’ magnetic traps. These ramps are engineered in the context of precision atom interferometry experiments and support transport over large distances, typically of the order of 1 mm, i.e. about 1,000 times the size of the atomic clouds, yet with durations not exceeding 200 ms. We show that with such transport durations of the order of the trap period, one can recover the ground state of the final trap at the end of the transport. The performance of the OCT procedure is compared to that of Shortcut-To-Adiabaticity (STA) protocols and the respective advantages / disadvantages of the OCT treatment over the STA one are discussed.
We present a detailed theoretical analysis of the implementation of shortcut-to-adiabaticity protocols for the fast transport of neutral atoms with atom chips.The objective is to engineer transport ramps with durations not exceeding a few hundred milliseconds to provide metrologically relevant input states for an atomic sensor.Aided by numerical simulations of the classical and quantum dynamics, we study the behavior of a Bose-Einstein condensate in an atom chip setup with realistic anharmonic trapping.We detail the implementation of fast and controlled transports over large distances of several millimeters, i.e. distances 1000 times larger than the size of the atomic cloud.A subsequent optimized release and collimation step demonstrates the capability of our transport method to generate ensembles of quantum gases with expansion speeds in the picokelvin regime.The performance of this procedure is analyzed in terms of collective excitations reflected in residual center of mass and size oscillations of the condensate.We further evaluate the robustness of the protocol against experimental imperfections.
We present a detailed theoretical analysis of the implementation of\nshortcut-to-adiabaticity protocols for the fast transport of neutral atoms with atom\nchips. The objective is to engineer transport ramps with durations not exceeding a\nfew hundred milliseconds to provide metrologically-relevant input states for an atomic\nsensor. Aided by numerical simulations of the classical and quantum dynamics, we\nstudy the behavior of a Bose-Einstein condensate in an atom chip setup with realistic\nanharmonic trapping. We detail the implementation of fast and controlled transports\nover large distances of several millimeters, i.e. distances 1000 times larger than the size\nof the atomic cloud. A subsequent optimized release and collimation step demonstrates\nthe capability of our transport method to generate ensembles of quantum gases with\nexpansion speeds in the picokelvin regime. The performance of this procedure is\nanalyzed in terms of collective excitations re\nected in residual center of mass and\nsize oscillations of the condensate. We further evaluate the robustness of the protocol\nagainst experimental imperfections.
Abstract. We present a detailed theoretical analysis of the implementation of shortcut-to-adiabaticity protocols for the fast transport of neutral atoms with atom chips. The objective is to engineer transport ramps with durations not exceeding a few hundred milliseconds to provide metrologically-relevant input states for an atomic sensor. Aided by numerical simulations of the classical and quantum dynamics, we study the behavior of a Bose-Einstein condensate in an atom chip setup with realistic anharmonic trapping. We detail the implementation of fast and controlled transports over large distances of several millimeters, i.e. distances 1000 times larger than the size of the atomic cloud. A subsequent optimized release and collimation step demonstrates the capability of our transport method to generate ensembles of quantum gases with expansion speeds in the picokelvin regime. The performance of this procedure is analyzed in terms of collective excitations re ected in residual center of mass and size oscillations of the condensate. We further evaluate the robustness of the protocol against experimental imperfections. z
We consider fast high-fidelity quantum control by using a shortcut to adiabaticity (STA) technique and optimal control theory (OCT). Three specific examples, including expansion of cold atoms from the harmonic trap, atomic transport by moving harmonic trap, and spin dynamics in the presence of dissipation, are explicitly detailed. Using OCT as a qualitative guide, we demonstrate how STA protocols designed from inverse engineering method can approach with very high precision optimal solutions built about physical constraints, by a proper choice of the interpolation function and with a very reduced number of adjustable parameters.
Transport of Bose-Einstein condensates in magnetic microtraps, controllable by external parameters such as wire currents or radio-frequency fields, is studied within the framework of optimal control theory (OCT). We derive from the Gross-Pitaevskii equation the optimality system for the OCT fields that allow efficient channeling of the condensate between given initial and desired states. For a variety of magnetic confinement potentials we study transport and wave-function splitting of the condensate, and demonstrate that OCT drastically outperforms simpler schemes for the time variation of the microtrap control parameters.