Experimental characterization of coherent magnetization transport in a one-dimensional spin system
We experimentally characterize the non-equilibrium, room-temperature magnetization dynamics of a spin chain evolving under an effective double-quantum (DQ) Hamiltonian. We show that the Liouville space operators corresponding to the magnetization and the two-spin correlations evolve 90 degrees out o...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Institute of Physics Publishing
2012
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| Online Access: | http://hdl.handle.net/1721.1/70848 https://orcid.org/0000-0003-3207-594X |
| _version_ | 1826216847119220736 |
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| author | Ramanathan, Chandrasekhar Cappellaro, Paola Viola, Lorenza Cory, David G. |
| author2 | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Ramanathan, Chandrasekhar Cappellaro, Paola Viola, Lorenza Cory, David G. |
| author_sort | Ramanathan, Chandrasekhar |
| collection | MIT |
| description | We experimentally characterize the non-equilibrium, room-temperature magnetization dynamics of a spin chain evolving under an effective double-quantum (DQ) Hamiltonian. We show that the Liouville space operators corresponding to the magnetization and the two-spin correlations evolve 90 degrees out of phase with each other, and drive the transport dynamics. For a nearest-neighbor-coupled N-spin chain, the dynamics are found to be restricted to a Liouville operator space whose dimension scales only as N2, leading to a slow growth of multi-spin correlations. Even though long-range couplings are present in the real system, we find excellent agreement between the analytical predictions and our experimental results, confirming that leakage out of the restricted Liouville space is slow on the timescales investigated. Our results indicate that the group velocity of the magnetization is 6.04 ± 0.38 μm s−1, corresponding to a coherent transport over N ≈ 26 spins on the experimental timescale. As the DQ Hamiltonian is related to the standard one-dimensional XX Hamiltonian by a similarity transform, our results can be directly extended to XX quantum spin chains, which have been extensively studied in the context of both quantum magnetism and quantum information processing. |
| first_indexed | 2024-09-23T16:54:04Z |
| format | Article |
| id | mit-1721.1/70848 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:54:04Z |
| publishDate | 2012 |
| publisher | Institute of Physics Publishing |
| record_format | dspace |
| spelling | mit-1721.1/708482022-10-03T09:02:12Z Experimental characterization of coherent magnetization transport in a one-dimensional spin system Ramanathan, Chandrasekhar Cappellaro, Paola Viola, Lorenza Cory, David G. Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Cappellaro, Paola Cappellaro, Paola We experimentally characterize the non-equilibrium, room-temperature magnetization dynamics of a spin chain evolving under an effective double-quantum (DQ) Hamiltonian. We show that the Liouville space operators corresponding to the magnetization and the two-spin correlations evolve 90 degrees out of phase with each other, and drive the transport dynamics. For a nearest-neighbor-coupled N-spin chain, the dynamics are found to be restricted to a Liouville operator space whose dimension scales only as N2, leading to a slow growth of multi-spin correlations. Even though long-range couplings are present in the real system, we find excellent agreement between the analytical predictions and our experimental results, confirming that leakage out of the restricted Liouville space is slow on the timescales investigated. Our results indicate that the group velocity of the magnetization is 6.04 ± 0.38 μm s−1, corresponding to a coherent transport over N ≈ 26 spins on the experimental timescale. As the DQ Hamiltonian is related to the standard one-dimensional XX Hamiltonian by a similarity transform, our results can be directly extended to XX quantum spin chains, which have been extensively studied in the context of both quantum magnetism and quantum information processing. United States. National Security Agency (NSA under ARO contract number W911NF0510469) National Science Foundation (U.S.) (award 0702295) National Science Foundation (U.S.) (DMR-1005926) National Science Foundation (U.S.) (PHY-0903727) Canada Excellence Research Chairs Program 2012-05-16T18:42:44Z 2012-05-16T18:42:44Z 2011-10 2011-06 Article http://purl.org/eprint/type/JournalArticle 1367-2630 http://hdl.handle.net/1721.1/70848 Ramanathan, Chandrasekhar et al. “Experimental Characterization of Coherent Magnetization Transport in a One-dimensional Spin System.” New Journal of Physics 13.10 (2011): 103015. Web. https://orcid.org/0000-0003-3207-594X en_US http://dx.doi.org/10.1088/1367-2630/13/10/103015 New Journal of Physics Creative Commons Attribution 3.0 http://creativecommons.org/licenses/by/3.0/ application/pdf Institute of Physics Publishing New Journal of Physics |
| spellingShingle | Ramanathan, Chandrasekhar Cappellaro, Paola Viola, Lorenza Cory, David G. Experimental characterization of coherent magnetization transport in a one-dimensional spin system |
| title | Experimental characterization of coherent magnetization transport in a one-dimensional spin system |
| title_full | Experimental characterization of coherent magnetization transport in a one-dimensional spin system |
| title_fullStr | Experimental characterization of coherent magnetization transport in a one-dimensional spin system |
| title_full_unstemmed | Experimental characterization of coherent magnetization transport in a one-dimensional spin system |
| title_short | Experimental characterization of coherent magnetization transport in a one-dimensional spin system |
| title_sort | experimental characterization of coherent magnetization transport in a one dimensional spin system |
| url | http://hdl.handle.net/1721.1/70848 https://orcid.org/0000-0003-3207-594X |
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