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Iterative construction of conserved quantities in dissipative nearly integrable systemsUlčakar, Iris ; Lenarčič, ZalaIntegrable 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.Source: Physical review letters online. - ISSN 1079-7114 (Vol. 132, Iss. 23, 2024, 7 str.)Type of material - e-articlePublish date - 2024Language - englishCOBISS.SI-ID - 198137091
Author
Ulčakar, Iris |
Lenarčič, Zala
Topics
fizika |
kvantna fizika |
kvantni sistemi
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Ulčakar, Iris | 55803 |
Lenarčič, Zala | 34445 |
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