Strong quantum scarring by local impurities
We discover and characterise strong quantum scars, or quantum eigenstates resembling classical periodic orbits, in two-dimensional quantum wells perturbed by local impurities. These scars are not explained by ordinary scar theory, which would require the existence of short, moderately unstable perio...
| Main Authors: | , , , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Nature Publishing Group
2017
|
| Online Access: | http://hdl.handle.net/1721.1/107795 https://orcid.org/0000-0002-0939-4718 |
| _version_ | 1811071211371757568 |
|---|---|
| author | Luukko, Perttu J. J. Klales, Anna Kaplan, Lev Heller, Eric J. Räsänen, Esa Drury, Byron Coffin |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Luukko, Perttu J. J. Klales, Anna Kaplan, Lev Heller, Eric J. Räsänen, Esa Drury, Byron Coffin |
| author_sort | Luukko, Perttu J. J. |
| collection | MIT |
| description | We discover and characterise strong quantum scars, or quantum eigenstates resembling classical periodic orbits, in two-dimensional quantum wells perturbed by local impurities. These scars are not explained by ordinary scar theory, which would require the existence of short, moderately unstable periodic orbits in the perturbed system. Instead, they are supported by classical resonances in the unperturbed system and the resulting quantum near-degeneracy. Even in the case of a large number of randomly scattered impurities, the scars prefer distinct orientations that extremise the overlap with the impurities. We demonstrate that these preferred orientations can be used for highly efficient transport of quantum wave packets across the perturbed potential landscape. Assisted by the scars, wave-packet recurrences are significantly stronger than in the unperturbed system. Together with the controllability of the preferred orientations, this property may be very useful for quantum transport applications. |
| first_indexed | 2024-09-23T08:47:40Z |
| format | Article |
| id | mit-1721.1/107795 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:47:40Z |
| publishDate | 2017 |
| publisher | Nature Publishing Group |
| record_format | dspace |
| spelling | mit-1721.1/1077952022-09-30T11:18:54Z Strong quantum scarring by local impurities Luukko, Perttu J. J. Klales, Anna Kaplan, Lev Heller, Eric J. Räsänen, Esa Drury, Byron Coffin Massachusetts Institute of Technology. Department of Physics Drury, Byron Coffin We discover and characterise strong quantum scars, or quantum eigenstates resembling classical periodic orbits, in two-dimensional quantum wells perturbed by local impurities. These scars are not explained by ordinary scar theory, which would require the existence of short, moderately unstable periodic orbits in the perturbed system. Instead, they are supported by classical resonances in the unperturbed system and the resulting quantum near-degeneracy. Even in the case of a large number of randomly scattered impurities, the scars prefer distinct orientations that extremise the overlap with the impurities. We demonstrate that these preferred orientations can be used for highly efficient transport of quantum wave packets across the perturbed potential landscape. Assisted by the scars, wave-packet recurrences are significantly stronger than in the unperturbed system. Together with the controllability of the preferred orientations, this property may be very useful for quantum transport applications. 2017-03-31T14:42:00Z 2017-03-31T14:42:00Z 2016-11 2016-08 Article http://purl.org/eprint/type/JournalArticle 2045-2322 http://hdl.handle.net/1721.1/107795 Luukko, Perttu J. J. et al. “Strong Quantum Scarring by Local Impurities.” Scientific Reports 6.1 (2016): n. pag. https://orcid.org/0000-0002-0939-4718 en_US http://dx.doi.org/10.1038/srep37656 Scientific Reports Creative Commons Attribution 4.0 International License http://creativecommons.org/licenses/by/4.0/ application/pdf Nature Publishing Group Nature |
| spellingShingle | Luukko, Perttu J. J. Klales, Anna Kaplan, Lev Heller, Eric J. Räsänen, Esa Drury, Byron Coffin Strong quantum scarring by local impurities |
| title | Strong quantum scarring by local impurities |
| title_full | Strong quantum scarring by local impurities |
| title_fullStr | Strong quantum scarring by local impurities |
| title_full_unstemmed | Strong quantum scarring by local impurities |
| title_short | Strong quantum scarring by local impurities |
| title_sort | strong quantum scarring by local impurities |
| url | http://hdl.handle.net/1721.1/107795 https://orcid.org/0000-0002-0939-4718 |
| work_keys_str_mv | AT luukkoperttujj strongquantumscarringbylocalimpurities AT klalesanna strongquantumscarringbylocalimpurities AT kaplanlev strongquantumscarringbylocalimpurities AT hellerericj strongquantumscarringbylocalimpurities AT rasanenesa strongquantumscarringbylocalimpurities AT drurybyroncoffin strongquantumscarringbylocalimpurities |