Shortcut to adiabatic control of soliton matter waves by tunable interaction

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Abstract

We propose a method for shortcut to adiabatic control of soliton matter waves in harmonic traps. The tunable interaction controlled by Feshbach resonance is inversely designed to achieve fast and high-fidelity compression of soliton matter waves as compared to the conventional adiabatic compression. These results pave the way to control the nonlinear dynamics for matter waves and optical solitons by using shortcuts to adiabaticity.

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Most cited references 14

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Bose-Einstein condensation on a microelectronic chip.

W Hansel, P Hommelhoff, T. Hänsch … (2001)

Although Bose-Einstein condensates of ultracold atoms have been experimentally realizable for several years, their formation and manipulation still impose considerable technical challenges. An all-optical technique that enables faster production of Bose-Einstein condensates was recently reported. Here we demonstrate that the formation of a condensate can be greatly simplified using a microscopic magnetic trap on a chip. We achieve Bose-Einstein condensation inside the single vapour cell of a magneto-optical trap in as little as 700 ms-more than a factor of ten faster than typical experiments, and a factor of three faster than the all-optical technique. A coherent matter wave is emitted normal to the chip surface when the trapped atoms are released into free fall; alternatively, we couple the condensate into an 'atomic conveyor belt', which is used to transport the condensed cloud non-destructively over a macroscopic distance parallel to the chip surface. The possibility of manipulating laser-like coherent matter waves with such an integrated atom-optical system holds promise for applications in interferometry, holography, microscopy, atom lithography and quantum information processing.

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Formation of a Matter-Wave Bright Soliton

F Schreck, L Khaykovich, Y Castin … (2002)

We report the production of matter-wave solitons in an ultracold lithium 7 gas. The effective interaction between atoms in a Bose-Einstein condensate is tuned with a Feshbach resonance from repulsive to attractive before release in a one-dimensional optical waveguide. Propagation of the soliton without dispersion over a macroscopic distance of 1.1 mm is observed. A simple theoretical model explains the stability region of the soliton. These matter-wave solitons open fascinating possibilities for future applications in coherent atom optics, atom interferometry and atom transport.

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Fast optimal frictionless atom cooling in harmonic traps: shortcut to adiabaticity.

Maria de Los A Del Campo-Martinez, Xi Chen, A Ruschhaupt … (2010)

A method is proposed to cool down atoms in a harmonic trap without phase-space compression as in a perfectly slow adiabatic expansion, i.e., keeping the same populations of instantaneous levels in the initial and final traps, but in a much shorter time. This may require that the harmonic trap become transiently an expulsive parabolic potential. The cooling times achieved are shorter than those obtained using optimal-control bang-bang methods and real frequencies.

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Author and article information

Journal

Journal ID (nlm-ta): Sci Rep

Journal ID (iso-abbrev): Sci Rep

Title: Scientific Reports

Publisher: Nature Publishing Group

ISSN (Electronic): 2045-2322

Publication date (Electronic): 23 December 2016

Publication date Collection: 2016

Volume: 6

Electronic Location Identifier: 38258

Affiliations

[1 ]Department of Physics, Shanghai University , 200444, Shanghai, People’s Republic of China

Author notes

[a ] xchen@ 123456shu.edu.edu.cn

Article

Publisher Item ID: srep38258

DOI: 10.1038/srep38258

PMC ID: 5180186

PubMed ID: 28009007

SO-VID: 0994807a-0ebf-42cb-bbca-b4ac3837cd42

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This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

Shortcut to adiabatic control of soliton matter waves by tunable interaction

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Gravitational Waves

Most cited references 14

Bose-Einstein condensation on a microelectronic chip.

Formation of a Matter-Wave Bright Soliton

Fast optimal frictionless atom cooling in harmonic traps: shortcut to adiabaticity.

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