Joanna Ruhl
1Department of Physics, University of Massachusetts Boston, Boston, Massachusetts 02125, USA<\/p>\n\n\n\n
In the focusing nonlinear Schrodinger equation, multisoliton \u201dbreathers\u201d may be created from a single mother soliton by quenching the strength of the nonlinear interaction. In ultracold-gas realizations, atop the mother soliton there are quantum fluctuations coming from its underlying quantum many-body nature, computable from the Bogoliubov theory. Post-quench, these fluctu- ations become the fluctuations in the macroscopic parameters of the daughters, which exist in a coherent macroscopic quantum state. We present a mean-field formalism that uses Lagrange brack- ets to compute, from given pre-quench fluctuations, the fluctuations of the macroscopic parameters of the daughter solitons, with results for both the 2-soliton and 3-soliton breathers.<\/p>\n","protected":false},"excerpt":{"rendered":"
In the focusing nonlinear Schrodinger equation, multisoliton \u201dbreathers\u201d may be created from a single mother soliton by quenching the strength of the nonlinear interaction. In ultracold-gas realizations, atop the mother soliton there are quantum fluctuations coming from its underlying quantum many-body nature, computable from the Bogoliubov theory. Post-quench, these fluctu- ations become the fluctuations in the macroscopic parameters of the daughters, which exist in a coherent macroscopic quantum state. We present a mean-field formalism that uses Lagrange brack- ets to compute, from given pre-quench fluctuations, the fluctuations of the macroscopic parameters of the daughter solitons, with results for both the 2-soliton and 3-soliton breathers.<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[6],"tags":[],"class_list":["post-883","post","type-post","status-publish","format-standard","hentry","category-fomo2021-abstract"],"jetpack_featured_media_url":"","uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"ashe-slider-full-thumbnail":false,"ashe-full-thumbnail":false,"ashe-list-thumbnail":false,"ashe-grid-thumbnail":false,"ashe-single-navigation":false},"uagb_author_info":{"display_name":"Wolf von Klitzing","author_link":"https:\/\/www.matterwaveoptics.eu\/FOMO2022\/author\/klitzing\/"},"uagb_comment_info":0,"uagb_excerpt":"In the focusing nonlinear Schrodinger equation, multisoliton \u201dbreathers\u201d may be created from a single mother soliton by quenching the strength of the nonlinear interaction. In ultracold-gas realizations, atop the mother soliton there are quantum fluctuations coming from its underlying quantum many-body nature, computable from the Bogoliubov theory. Post-quench, these fluctu- ations become the fluctuations in…","jetpack_sharing_enabled":true,"publishpress_future_action":{"enabled":false,"date":"2026-08-01 08:55:50","action":"category","newStatus":"draft","terms":[],"taxonomy":"category","extraData":[]},"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2022\/wp-json\/wp\/v2\/posts\/883","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2022\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2022\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2022\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2022\/wp-json\/wp\/v2\/comments?post=883"}],"version-history":[{"count":2,"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2022\/wp-json\/wp\/v2\/posts\/883\/revisions"}],"predecessor-version":[{"id":890,"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2022\/wp-json\/wp\/v2\/posts\/883\/revisions\/890"}],"wp:attachment":[{"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2022\/wp-json\/wp\/v2\/media?parent=883"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2022\/wp-json\/wp\/v2\/categories?post=883"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2022\/wp-json\/wp\/v2\/tags?post=883"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}