| Title: | Iterative construction of conserved quantities in dissipative nearly integrable systems |
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| Authors: | ID Ulčakar, Iris, Institut "Jožef Stefan" (Author)
ID Lenarčič, Zala, Institut "Jožef Stefan" (Author) |
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| Files: |  PDF - Presentation file, download (671,13 KB)
MD5: F8091539B0BA5BA522A0876F231D3E98
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IJS - Jožef Stefan Institute
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| Abstract: | Integrable systems offer rare examples of solvable many-body problems in the quantum world. Because of the fine-tuned structure, their realization in nature and experiment is never completely accurate, and therefore effects of integrability are observed only transiently. One way to overcome this limitation is to weakly couple nearly integrable systems to baths and driving: this will stabilize integrable effects up to arbitrary time and encode them in the stationary state approximated by a generalized Gibbs ensemble. However, the description of such driven dissipative nearly integrable models is challenging and no exact analytical methods have been proposed so far. Here, we develop an iterative scheme in which integrability breaking perturbations (baths) determine the conserved quantities that play the leading role in a highly efficient truncated generalized Gibbs ensemble description. Our scheme paves the way for easier calculations in thermodynamically large systems and can be used to construct unknown conserved quantities. |
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| Publication status: | Published |
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| Publication version: | Author Accepted Manuscript |
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| Submitted for review: | 22.09.2023 |
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| Article acceptance date: | 19.04.2024 |
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| Publication date: | 04.06.2024 |
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| Publisher: | American Physical Society |
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| Year of publishing: | 2024 |
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| Number of pages: | 7 str. |
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| Numbering: | Vol. 132, Iss. 23 |
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| Source: | ZDA |
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| PID: | 20.500.12556/DiRROS-24448  |
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| UDC: | 53 |
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| ISSN on article: | 1079-7114 |
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| DOI: | /10.1103/PhysRevLett.132.230402 |
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| COBISS.SI-ID: | 198137091 |
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| Copyright: | © 2024 American Physical Society |
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| Publication date in DiRROS: | 28.11.2025 |
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| Views: | 68 |
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| Downloads: | 33 |
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