[{"month":"01","arxiv":1,"article_number":"050401","department":[{"_id":"MaSe"}],"language":[{"iso":"eng"}],"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"short":"E. Petrova, E.S. Tiunov, M.C. Bañuls, A.K. Fedorov, Physical Review Letters 132 (2024).","ieee":"E. Petrova, E. S. Tiunov, M. C. Bañuls, and A. K. Fedorov, “Fractal states of the Schwinger model,” <i>Physical Review Letters</i>, vol. 132, no. 5. American Physical Society, 2024.","ama":"Petrova E, Tiunov ES, Bañuls MC, Fedorov AK. Fractal states of the Schwinger model. <i>Physical Review Letters</i>. 2024;132(5). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.132.050401\">10.1103/PhysRevLett.132.050401</a>","mla":"Petrova, Elena, et al. “Fractal States of the Schwinger Model.” <i>Physical Review Letters</i>, vol. 132, no. 5, 050401, American Physical Society, 2024, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.132.050401\">10.1103/PhysRevLett.132.050401</a>.","apa":"Petrova, E., Tiunov, E. S., Bañuls, M. C., &#38; Fedorov, A. K. (2024). Fractal states of the Schwinger model. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.132.050401\">https://doi.org/10.1103/PhysRevLett.132.050401</a>","chicago":"Petrova, Elena, Egor S. Tiunov, Mari Carmen Bañuls, and Aleksey K. Fedorov. “Fractal States of the Schwinger Model.” <i>Physical Review Letters</i>. American Physical Society, 2024. <a href=\"https://doi.org/10.1103/PhysRevLett.132.050401\">https://doi.org/10.1103/PhysRevLett.132.050401</a>.","ista":"Petrova E, Tiunov ES, Bañuls MC, Fedorov AK. 2024. Fractal states of the Schwinger model. Physical Review Letters. 132(5), 050401."},"issue":"5","title":"Fractal states of the Schwinger model","oa_version":"Preprint","day":"30","scopus_import":"1","author":[{"full_name":"Petrova, Elena","id":"0ac84990-897b-11ed-a09c-f5abb56a4ede","last_name":"Petrova","first_name":"Elena"},{"first_name":"Egor S.","last_name":"Tiunov","full_name":"Tiunov, Egor S."},{"first_name":"Mari Carmen","full_name":"Bañuls, Mari Carmen","last_name":"Bañuls"},{"first_name":"Aleksey K.","full_name":"Fedorov, Aleksey K.","last_name":"Fedorov"}],"date_created":"2024-02-18T23:01:00Z","article_type":"original","volume":132,"abstract":[{"lang":"eng","text":"The lattice Schwinger model, the discrete version of QED in \r\n1\r\n+\r\n1\r\n dimensions, is a well-studied test bench for lattice gauge theories. Here, we study the fractal properties of this model. We reveal the self-similarity of the ground state, which allows us to develop a recurrent procedure for finding the ground-state wave functions and predicting ground-state energies. We present the results of recurrently calculating ground-state wave functions using the fractal Ansatz and automized software package for fractal image processing. In certain parameter regimes, just a few terms are enough for our recurrent procedure to predict ground-state energies close to the exact ones for several hundreds of sites. Our findings pave the way to understanding the complexity of calculating many-body wave functions in terms of their fractal properties as well as finding new links between condensed matter and high-energy lattice models."}],"intvolume":"       132","publication_status":"published","publication_identifier":{"issn":["0031-9007"],"eissn":["1079-7114"]},"external_id":{"arxiv":["2201.10220"]},"year":"2024","status":"public","publication":"Physical Review Letters","acknowledgement":"We thank A. Bargov, I. Khaymovich, and V. Tiunova for fruitful discussions and for useful comments. M. C. B. thanks S. Kühn for discussions about the phase structure of the model. A. K. F. thanks V. Gritsev and A. Garkun for insightful comments. E. V. P., E. S. T., and A. K. F. are\r\nsupported by the RSF Grant No. 20-42-05002 (studying the fractal Ansatz) and the Roadmap on Quantum Computing (Contract No. 868-1.3-15/15-2021, October 5, 2021; calculating on GS energies). A. K. F. thanks the Priority 2030 program at the NIST “MISIS” under the project No. K1-2022-027. M. C. B. was partly funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy—EXC-2111–390814868.","date_published":"2024-01-30T00:00:00Z","publisher":"American Physical Society","article_processing_charge":"No","doi":"10.1103/PhysRevLett.132.050401","type":"journal_article","_id":"15002","date_updated":"2024-02-26T08:03:31Z","quality_controlled":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2201.10220"}]},{"intvolume":"       107","abstract":[{"text":"We consider the spin-\r\n1\r\n2\r\n Heisenberg chain (XXX model) weakly perturbed away from integrability by an isotropic next-to-nearest neighbor exchange interaction. Recently, it was conjectured that this model possesses an infinite tower of quasiconserved integrals of motion (charges) [D. Kurlov et al., Phys. Rev. B 105, 104302 (2022)]. In this work we first test this conjecture by investigating how the norm of the adiabatic gauge potential (AGP) scales with the system size, which is known to be a remarkably accurate measure of chaos. We find that for the perturbed XXX chain the behavior of the AGP norm corresponds to neither an integrable nor a chaotic regime, which supports the conjectured quasi-integrability of the model. We then prove the conjecture and explicitly construct the infinite set of quasiconserved charges. Our proof relies on the fact that the XXX chain perturbed by next-to-nearest exchange interaction can be viewed as a truncation of an integrable long-range deformation of the Heisenberg spin chain.","lang":"eng"}],"publication_status":"published","publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"title":"Adiabatic eigenstate deformations and weak integrability breaking of Heisenberg chain","oa_version":"Preprint","day":"01","scopus_import":"1","author":[{"full_name":"Orlov, Pavel","last_name":"Orlov","first_name":"Pavel"},{"first_name":"Anastasiia","full_name":"Tiutiakina, Anastasiia","last_name":"Tiutiakina"},{"last_name":"Sharipov","full_name":"Sharipov, Rustem","first_name":"Rustem"},{"last_name":"Petrova","full_name":"Petrova, Elena","id":"0ac84990-897b-11ed-a09c-f5abb56a4ede","first_name":"Elena"},{"first_name":"Vladimir","last_name":"Gritsev","full_name":"Gritsev, Vladimir"},{"first_name":"Denis V.","full_name":"Kurlov, Denis V.","last_name":"Kurlov"}],"date_created":"2023-06-18T22:00:46Z","article_type":"original","volume":107,"language":[{"iso":"eng"}],"oa":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"apa":"Orlov, P., Tiutiakina, A., Sharipov, R., Petrova, E., Gritsev, V., &#38; Kurlov, D. V. (2023). Adiabatic eigenstate deformations and weak integrability breaking of Heisenberg chain. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevB.107.184312\">https://doi.org/10.1103/PhysRevB.107.184312</a>","mla":"Orlov, Pavel, et al. “Adiabatic Eigenstate Deformations and Weak Integrability Breaking of Heisenberg Chain.” <i>Physical Review B</i>, vol. 107, no. 18, 184312, American Physical Society, 2023, doi:<a href=\"https://doi.org/10.1103/PhysRevB.107.184312\">10.1103/PhysRevB.107.184312</a>.","ista":"Orlov P, Tiutiakina A, Sharipov R, Petrova E, Gritsev V, Kurlov DV. 2023. Adiabatic eigenstate deformations and weak integrability breaking of Heisenberg chain. Physical Review B. 107(18), 184312.","chicago":"Orlov, Pavel, Anastasiia Tiutiakina, Rustem Sharipov, Elena Petrova, Vladimir Gritsev, and Denis V. Kurlov. “Adiabatic Eigenstate Deformations and Weak Integrability Breaking of Heisenberg Chain.” <i>Physical Review B</i>. American Physical Society, 2023. <a href=\"https://doi.org/10.1103/PhysRevB.107.184312\">https://doi.org/10.1103/PhysRevB.107.184312</a>.","ieee":"P. Orlov, A. Tiutiakina, R. Sharipov, E. Petrova, V. Gritsev, and D. V. Kurlov, “Adiabatic eigenstate deformations and weak integrability breaking of Heisenberg chain,” <i>Physical Review B</i>, vol. 107, no. 18. American Physical Society, 2023.","short":"P. Orlov, A. Tiutiakina, R. Sharipov, E. Petrova, V. Gritsev, D.V. Kurlov, Physical Review B 107 (2023).","ama":"Orlov P, Tiutiakina A, Sharipov R, Petrova E, Gritsev V, Kurlov DV. Adiabatic eigenstate deformations and weak integrability breaking of Heisenberg chain. <i>Physical Review B</i>. 2023;107(18). doi:<a href=\"https://doi.org/10.1103/PhysRevB.107.184312\">10.1103/PhysRevB.107.184312</a>"},"issue":"18","arxiv":1,"month":"05","article_number":"184312","department":[{"_id":"GradSch"}],"quality_controlled":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2303.00729","open_access":"1"}],"publisher":"American Physical Society","article_processing_charge":"No","doi":"10.1103/PhysRevB.107.184312","type":"journal_article","_id":"13138","date_updated":"2023-08-02T06:16:02Z","status":"public","publication":"Physical Review B","date_published":"2023-05-01T00:00:00Z","acknowledgement":"The numerical computations in this work were performed using QuSpin [83, 84]. We acknowledge useful discussions with Igor Aleiner, Boris Altshuler, Jacopo de Nardis, Anatoli Polkovnikov, and Gora Shlyapnikov. We thank Piotr Sierant and Dario Rosa for drawing our attention to Refs. [31, 42, 46] and Ref. [47], respectively. We are grateful to an anonymous referee for very useful comments and for drawing our attention to Refs. [80, 81]. The work of VG is part of the DeltaITP consortium, a program of the Netherlands Organization for Scientific\r\nResearch (NWO) funded by the Dutch Ministry of Education, Culture and Science (OCW). VG is also partially supported by RSF 19-71-10092. The work of AT was supported by the ERC Starting Grant 101042293 (HEPIQ). RS acknowledges support from Slovenian Research Agency (ARRS) - research programme P1-0402. ","external_id":{"arxiv":["2303.00729"],"isi":["001003686900004"]},"year":"2023","isi":1}]