Floquet engineering of optical lattices with spatial features and periodicity below the diffraction limit
Floquet engineering or coherent time-periodic driving of quantum systems has been successfully used to synthesize Hamiltonians with novel properties. In ultracold atomic systems, this has led to experimental realizations of artificial gauge fields, topological bandstructures, and observation of dyna...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ab500f |
| _version_ | 1827873074211454976 |
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| author | S Subhankar P Bienias P Titum T-C Tsui Y Wang A V Gorshkov S L Rolston J V Porto |
| author_facet | S Subhankar P Bienias P Titum T-C Tsui Y Wang A V Gorshkov S L Rolston J V Porto |
| author_sort | S Subhankar |
| collection | DOAJ |
| description | Floquet engineering or coherent time-periodic driving of quantum systems has been successfully used to synthesize Hamiltonians with novel properties. In ultracold atomic systems, this has led to experimental realizations of artificial gauge fields, topological bandstructures, and observation of dynamical localization, to name a few. Here we present a Floquet-based framework to stroboscopically engineer Hamiltonians with spatial features and periodicity below the diffraction limit of light used to create them by time-averaging over various configurations of a 1D optical Kronig–Penney (KP) lattice. The KP potential is a lattice of narrow subwavelength barriers spaced by half the optical wavelength ( λ /2) and arises from the nonlinear optical response of the atomic dark state. Stroboscopic control over the strength and position of this lattice requires time-dependent adiabatic manipulation of the dark-state spin composition. We investigate adiabaticity requirements and shape our time-dependent light fields to respect the requirements. We apply this framework to show that a λ /4-spaced lattice can be synthesized using realistic experimental parameters as an example, discuss mechanisms that limit lifetimes in these lattices, explore candidate systems and their limitations, and treat adiabatic loading into the ground band of these lattices. |
| first_indexed | 2024-03-12T16:32:23Z |
| format | Article |
| id | doaj.art-5ccda006f79f45cf98cc6ac6fb26b342 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:32:23Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-5ccda006f79f45cf98cc6ac6fb26b3422023-08-08T15:25:59ZengIOP PublishingNew Journal of Physics1367-26302019-01-01211111305810.1088/1367-2630/ab500fFloquet engineering of optical lattices with spatial features and periodicity below the diffraction limitS Subhankar0https://orcid.org/0000-0001-8664-3098P Bienias1https://orcid.org/0000-0002-7583-7177P Titum2T-C Tsui3Y Wang4A V Gorshkov5S L Rolston6J V Porto7Joint Quantum Institute, National Institute of Standards and Technology and the University of Maryland , College Park, MD 20742, United States of AmericaJoint Quantum Institute, National Institute of Standards and Technology and the University of Maryland , College Park, MD 20742, United States of America; Joint Center for Quantum Information and Computer Science, NIST/University of Maryland , College Park, MD 20742, United States of AmericaJoint Quantum Institute, National Institute of Standards and Technology and the University of Maryland , College Park, MD 20742, United States of America; Joint Center for Quantum Information and Computer Science, NIST/University of Maryland , College Park, MD 20742, United States of America; Johns Hopkins University Applied Physics Laboratory, Laurel, MD 20723, United States of AmericaJoint Quantum Institute, National Institute of Standards and Technology and the University of Maryland , College Park, MD 20742, United States of AmericaJoint Quantum Institute, National Institute of Standards and Technology and the University of Maryland , College Park, MD 20742, United States of AmericaJoint Quantum Institute, National Institute of Standards and Technology and the University of Maryland , College Park, MD 20742, United States of America; Joint Center for Quantum Information and Computer Science, NIST/University of Maryland , College Park, MD 20742, United States of AmericaJoint Quantum Institute, National Institute of Standards and Technology and the University of Maryland , College Park, MD 20742, United States of AmericaJoint Quantum Institute, National Institute of Standards and Technology and the University of Maryland , College Park, MD 20742, United States of AmericaFloquet engineering or coherent time-periodic driving of quantum systems has been successfully used to synthesize Hamiltonians with novel properties. In ultracold atomic systems, this has led to experimental realizations of artificial gauge fields, topological bandstructures, and observation of dynamical localization, to name a few. Here we present a Floquet-based framework to stroboscopically engineer Hamiltonians with spatial features and periodicity below the diffraction limit of light used to create them by time-averaging over various configurations of a 1D optical Kronig–Penney (KP) lattice. The KP potential is a lattice of narrow subwavelength barriers spaced by half the optical wavelength ( λ /2) and arises from the nonlinear optical response of the atomic dark state. Stroboscopic control over the strength and position of this lattice requires time-dependent adiabatic manipulation of the dark-state spin composition. We investigate adiabaticity requirements and shape our time-dependent light fields to respect the requirements. We apply this framework to show that a λ /4-spaced lattice can be synthesized using realistic experimental parameters as an example, discuss mechanisms that limit lifetimes in these lattices, explore candidate systems and their limitations, and treat adiabatic loading into the ground band of these lattices.https://doi.org/10.1088/1367-2630/ab500fFloquetHamiltonian engineeringsubwavelengthstimulated Raman adiabatic passage (STIRAP)adiabaticitypulse shaping |
| spellingShingle | S Subhankar P Bienias P Titum T-C Tsui Y Wang A V Gorshkov S L Rolston J V Porto Floquet engineering of optical lattices with spatial features and periodicity below the diffraction limit New Journal of Physics Floquet Hamiltonian engineering subwavelength stimulated Raman adiabatic passage (STIRAP) adiabaticity pulse shaping |
| title | Floquet engineering of optical lattices with spatial features and periodicity below the diffraction limit |
| title_full | Floquet engineering of optical lattices with spatial features and periodicity below the diffraction limit |
| title_fullStr | Floquet engineering of optical lattices with spatial features and periodicity below the diffraction limit |
| title_full_unstemmed | Floquet engineering of optical lattices with spatial features and periodicity below the diffraction limit |
| title_short | Floquet engineering of optical lattices with spatial features and periodicity below the diffraction limit |
| title_sort | floquet engineering of optical lattices with spatial features and periodicity below the diffraction limit |
| topic | Floquet Hamiltonian engineering subwavelength stimulated Raman adiabatic passage (STIRAP) adiabaticity pulse shaping |
| url | https://doi.org/10.1088/1367-2630/ab500f |
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