{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T07:35:43Z","timestamp":1743060943836,"version":"3.40.3"},"publisher-location":"Cham","reference-count":27,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783031104183"},{"type":"electronic","value":"9783031104190"}],"license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2022,7,1]],"date-time":"2022-07-01T00:00:00Z","timestamp":1656633600000},"content-version":"vor","delay-in-days":181,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>\nConventional many-body quantum systems thermalize under their own dynamics, losing information about their initial configurations to the environment. However, it is known that a strong disorder results in many-body localization (MBL). A closed quantum systems with MBL retains local information even in the presence of interactions. Here, we numerically study the propagation and scrambling of quantum information of a closed system in the MBL phase from an information theoretic perspective. By simulating the dynamics and equilibration of the temporal mutual information for long times, we see that it can distinguish between MBL and ergodic phases.\n<\/jats:p>","DOI":"10.1007\/978-3-031-10419-0_4","type":"book-chapter","created":{"date-parts":[[2022,6,30]],"date-time":"2022-06-30T17:07:51Z","timestamp":1656608871000},"page":"43-58","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Exploring the\u00a0Dynamics of\u00a0Quantum Information in\u00a0Many-Body Localised Systems with\u00a0High Performance Computing"],"prefix":"10.1007","author":[{"given":"Shao-Hen","family":"Chiew","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Leong-Chuan","family":"Kwek","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chee-Kong","family":"Lee","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,7,1]]},"reference":[{"key":"4_CR1","doi-asserted-by":"crossref","unstructured":"Serbyn, M., Papi\u0107, Z., Abanin, D.A.: Local conservation laws and the structure of the many-body localized states. Phys. Rev. Lett. 111(12), 127201 (2013)","DOI":"10.1103\/PhysRevLett.111.127201"},{"key":"4_CR2","doi-asserted-by":"crossref","unstructured":"Huse, D.A., Nandkishore, R., Oganesyan, V.: Phenomenology of fully many-body-localized systems. Phys. Rev. B 90(17), 174202 (2014)","DOI":"10.1103\/PhysRevB.90.174202"},{"key":"4_CR3","doi-asserted-by":"crossref","unstructured":"Imbrie, J.Z.: On many-body localization for quantum spin chains. J. Stat. Phys. 163(5), 998\u20131048 (2016)","DOI":"10.1007\/s10955-016-1508-x"},{"key":"4_CR4","doi-asserted-by":"crossref","unstructured":"Abanin, D.A., Altman, E., Bloch, I., Serbyn, M.: Colloquium: many-body localization, thermalization, and entanglement. Rev. Mod. Phys. 91(2), 021001 (2019)","DOI":"10.1103\/RevModPhys.91.021001"},{"key":"4_CR5","doi-asserted-by":"crossref","unstructured":"Schreiber, M.: Observation of many-body localization of interacting fermions in a Quasirandom optical lattice. Science 349(6250), 842\u2013845 (2015)","DOI":"10.1126\/science.aaa7432"},{"key":"4_CR6","doi-asserted-by":"crossref","unstructured":"Smith, J., et al.: Many-body localization in a quantum simulator with programmable random disorder. Nat. Phys. 12(10), 907\u2013911 (2016)","DOI":"10.1038\/nphys3783"},{"key":"4_CR7","doi-asserted-by":"crossref","unstructured":"Choi, J.-Y., et al.: Exploring the many-body localization transition in two dimensions. Science 352(6293), 1547\u20131552 (2016)","DOI":"10.1126\/science.aaf8834"},{"issue":"4","key":"4_CR8","volume":"7","author":"P Bordia","year":"2017","unstructured":"Bordia, P., et al.: Probing slow relaxation and many-body localization in two-dimensional quasiperiodic systems. Phys. Rev. X 7(4), 041047 (2017)","journal-title":"Phys. Rev. X"},{"key":"4_CR9","doi-asserted-by":"crossref","unstructured":"Roushan, P., et al.: Spectroscopic signatures of localization with interacting photons in superconducting qubits. Science 358(6367), 1175\u20131179 (2017)","DOI":"10.1126\/science.aao1401"},{"issue":"5","key":"4_CR10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.120.050507","volume":"120","author":"X Kai","year":"2018","unstructured":"Kai, X., et al.: Emulating many-body localization with a superconducting quantum processor. Phys. Rev. Lett. 120(5), 050507 (2018)","journal-title":"Phys. Rev. Lett."},{"key":"4_CR11","doi-asserted-by":"crossref","unstructured":"Braunstein, S.L., Caves, C.M.: Statistical distance and the geometry of quantum states. Phys. Rev. Lett. 72(22), 3439 (1994)","DOI":"10.1103\/PhysRevLett.72.3439"},{"key":"4_CR12","doi-asserted-by":"crossref","unstructured":"H\u00e4ffner, H., et al.: Scalable multiparticle entanglement of trapped ions. Nature 438(7068), 643\u2013646 (2005)","DOI":"10.1038\/nature04279"},{"key":"4_CR13","doi-asserted-by":"crossref","unstructured":"Wu, Y.-L., Das Sarma, S.: Understanding analog quantum simulation dynamics in coupled ion-trap qubits. Phys. Rev. A 93(2), 022332 (2016)","DOI":"10.1103\/PhysRevA.93.022332"},{"issue":"13","key":"4_CR14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.92.134204","volume":"92","author":"P Hauke","year":"2015","unstructured":"Hauke, P., Heyl, M.: Many-body localization and quantum ergodicity in disordered long-range Ising models. Phys. Rev. B 92(13), 134204 (2015)","journal-title":"Phys. Rev. B"},{"key":"4_CR15","doi-asserted-by":"crossref","unstructured":"Deng, D.-L., Li, X., Pixley, J.H., Wu, Y.-L., Das Sarma, S.: Logarithmic entanglement lightcone in many-body localized systems. Phys. Rev. B 95(2), 024202 (2017)","DOI":"10.1103\/PhysRevB.95.024202"},{"key":"4_CR16","doi-asserted-by":"crossref","unstructured":"De Tomasi, G., Bera, S., Bardarson, J.H., Pollmann, F.: Quantum mutual information as a probe for many-body localization. Phys. Rev. Lett. 118(1), 016804 (2017)","DOI":"10.1103\/PhysRevLett.118.016804"},{"key":"4_CR17","doi-asserted-by":"crossref","unstructured":"Ba\u00f1uls, M.C., Yao, N.Y., Choi, S., Lukin, M.D., Ignacio Cirac, J.: Dynamics of quantum information in many-body localized systems. Phys. Rev. B 96(17), 174201 (2017)","DOI":"10.1103\/PhysRevB.96.174201"},{"key":"4_CR18","doi-asserted-by":"crossref","unstructured":"Pal, A., Huse, D.A.: Many-body localization phase transition. Phys. Rev. B 82(17), 174411 (2010)","DOI":"10.1103\/PhysRevB.82.174411"},{"key":"4_CR19","doi-asserted-by":"crossref","unstructured":"Luitz, D.J., Laflorencie, N., Alet, F.: Many-body localization edge in the random-field Heisenberg chain. Phys. Rev. B 91(8), 081103 (2015)","DOI":"10.1103\/PhysRevB.91.081103"},{"key":"4_CR20","doi-asserted-by":"crossref","unstructured":"Robert Johansson, J., Nation, P.D., Nori, F.: QuTiP: an open-source python framework for the dynamics of open quantum systems. Comput. Phys. Commun. 183(8), 1760\u20131772 (2012)","DOI":"10.1016\/j.cpc.2012.02.021"},{"key":"4_CR21","doi-asserted-by":"crossref","unstructured":"Brown, P.N., Byrne, G.D., Hindmarsh, A.C.: VODE: a variable-coefficient ODE solver. SIAM J. Sci. Stat. Comput. 10(5), 1038\u20131051 (1989)","DOI":"10.1137\/0910062"},{"key":"4_CR22","doi-asserted-by":"crossref","unstructured":"Bekenstein, J.D.: Black holes and entropy. In: Jacob Bekenstein: The Conservative Revolutionary, pp. 307\u2013320. World Scientific (2020)","DOI":"10.1142\/9789811203961_0023"},{"issue":"4","key":"4_CR23","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/JHEP04(2013)022","volume":"2013","author":"N Lashkari","year":"2013","unstructured":"Lashkari, N., Stanford, D., Hastings, M., Osborne, T., Hayden, P.: Towards the fast scrambling conjecture. J. High Energy Phys. 2013(4), 1\u201333 (2013). https:\/\/doi.org\/10.1007\/JHEP04(2013)022","journal-title":"J. High Energy Phys."},{"key":"4_CR24","doi-asserted-by":"crossref","unstructured":"Landsman, K.A.: Verified quantum information scrambling. Nature 567(7746), 61\u201365 (2019)","DOI":"10.1038\/s41586-019-0952-6"},{"issue":"2","key":"4_CR25","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/JHEP02(2016)004","volume":"2016","author":"P Hosur","year":"2016","unstructured":"Hosur, P., Qi, X.-L., Roberts, D.A., Yoshida, B.: Chaos in quantum channels. J. High Energy Phys. 2016(2), 1\u201349 (2016). https:\/\/doi.org\/10.1007\/JHEP02(2016)004","journal-title":"J. High Energy Phys."},{"key":"4_CR26","doi-asserted-by":"crossref","unstructured":"Khemani, V., Lim, S.-P., Sheng, D.N., Huse, D.A.: Critical properties of the many-body localization transition. Phys. Rev. X 7(2), 021013 (2017)","DOI":"10.1103\/PhysRevX.7.021013"},{"key":"4_CR27","unstructured":"Nico-Katz, A., Bayat, A., Bose, S.: Information-theoretic memory scaling in the many-body localization transition. arXiv preprint arXiv:2009.04470 (2020)"}],"container-title":["Lecture Notes in Computer Science","Supercomputing Frontiers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-10419-0_4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,30]],"date-time":"2022-06-30T17:14:12Z","timestamp":1656609252000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-10419-0_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"ISBN":["9783031104183","9783031104190"],"references-count":27,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-10419-0_4","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2022]]},"assertion":[{"value":"1 July 2022","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"SCFA","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Asian Conference on Supercomputing Frontiers","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Singapore","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Singapore","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2022","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"1 March 2022","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"3 March 2022","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"7","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"scfa2022","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"21","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"8","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"38% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3.8","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3.5","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"No","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}