Reservoir engineering for classical nonlinear fields
Reservoir engineering has become a prominent tool to control quantum systems. Recently, there have been first experiments applying it to many-body systems, especially with a view to engineer particle-conserving dissipation for quantum simulations using bosons. In this paper, we explore the dissipati...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2024-04-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.023015 |
| _version_ | 1827284962684960768 |
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| author | Benedikt Tissot Hugo Ribeiro Florian Marquardt |
| author_facet | Benedikt Tissot Hugo Ribeiro Florian Marquardt |
| author_sort | Benedikt Tissot |
| collection | DOAJ |
| description | Reservoir engineering has become a prominent tool to control quantum systems. Recently, there have been first experiments applying it to many-body systems, especially with a view to engineer particle-conserving dissipation for quantum simulations using bosons. In this paper, we explore the dissipative dynamics of these systems in the classical limit. We derive a general equation of motion capturing the effective nonlinear dissipation introduced by the bath and apply it to the special case of a Bose-Hubbard model, where it leads to an unconventional type of dissipative nonlinear Schrödinger equation. Building on that, we study the dynamics of one and two solitons in such a dissipative classical field theory. |
| first_indexed | 2024-04-24T10:07:05Z |
| format | Article |
| id | doaj.art-38059d6a75fa4b9092e3167511c09b5e |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:07:05Z |
| publishDate | 2024-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-38059d6a75fa4b9092e3167511c09b5e2024-04-12T17:41:06ZengAmerican Physical SocietyPhysical Review Research2643-15642024-04-016202301510.1103/PhysRevResearch.6.023015Reservoir engineering for classical nonlinear fieldsBenedikt TissotHugo RibeiroFlorian MarquardtReservoir engineering has become a prominent tool to control quantum systems. Recently, there have been first experiments applying it to many-body systems, especially with a view to engineer particle-conserving dissipation for quantum simulations using bosons. In this paper, we explore the dissipative dynamics of these systems in the classical limit. We derive a general equation of motion capturing the effective nonlinear dissipation introduced by the bath and apply it to the special case of a Bose-Hubbard model, where it leads to an unconventional type of dissipative nonlinear Schrödinger equation. Building on that, we study the dynamics of one and two solitons in such a dissipative classical field theory.http://doi.org/10.1103/PhysRevResearch.6.023015 |
| spellingShingle | Benedikt Tissot Hugo Ribeiro Florian Marquardt Reservoir engineering for classical nonlinear fields Physical Review Research |
| title | Reservoir engineering for classical nonlinear fields |
| title_full | Reservoir engineering for classical nonlinear fields |
| title_fullStr | Reservoir engineering for classical nonlinear fields |
| title_full_unstemmed | Reservoir engineering for classical nonlinear fields |
| title_short | Reservoir engineering for classical nonlinear fields |
| title_sort | reservoir engineering for classical nonlinear fields |
| url | http://doi.org/10.1103/PhysRevResearch.6.023015 |
| work_keys_str_mv | AT benedikttissot reservoirengineeringforclassicalnonlinearfields AT hugoribeiro reservoirengineeringforclassicalnonlinearfields AT florianmarquardt reservoirengineeringforclassicalnonlinearfields |