{"title":"Noninteracting central site model localization and logarithmic entanglement growth","quality_controlled":"1","status":"public","publisher":"American Physical Society","scopus_import":1,"oa":1,"oa_version":"Submitted Version","date_created":"2018-12-11T11:48:09Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"MaSe"}],"abstract":[{"lang":"eng","text":"We investigate the stationary and dynamical behavior of an Anderson localized chain coupled to a single central bound state. Although this coupling partially dilutes the Anderson localized peaks towards nearly resonant sites, the most weight of the original peaks remains unchanged. This leads to multifractal wave functions with a frozen spectrum of fractal dimensions, which is characteristic for localized phases in models with power-law hopping. Using a perturbative approach we identify two different dynamical regimes. At weak couplings to the central site, the transport of particles and information is logarithmic in time, a feature usually attributed to many-body localization. We connect such transport to the persistence of the Poisson statistics of level spacings in parts of the spectrum. In contrast, at stronger couplings the level repulsion is established in the entire spectrum, the problem can be mapped to the Fano resonance, and the transport is ballistic."}],"main_file_link":[{"url":"https://arxiv.org/abs/1701.02744","open_access":"1"}],"date_published":"2017-09-13T00:00:00Z","publication_status":"published","issue":"10","month":"09","date_updated":"2021-01-12T08:12:35Z","type":"journal_article","day":"13","acknowledgement":"We  would  like  to  thank  Dmitry  Abanin,  Christophe  De\r\nBeule,  Joel  Moore,  Romain  Vasseur,  and  Norman  Yao  for\r\nmany  stimulating  discussions.  Financial  support  has  been\r\nprovided  by  the  Deutsche  Forschungsgemeinschaft  (DFG)\r\nvia Grant No. TR950/8-1, SFB 1170 “ToCoTronics” and the\r\nENB  Graduate  School  on  Topological  Insulators.  M.S.  was\r\nsupported by Gordon and Betty Moore Foundation’s EPiQS\r\nInitiative through Grant No. GBMF4307. F.P. acknowledges\r\nsupport from the DFG Research Unit FOR 1807 through Grant\r\nNo. PO 1370/2-1.","year":"2017","intvolume":"        96","publist_id":"6955","volume":96,"language":[{"iso":"eng"}],"_id":"724","article_number":"104203","citation":{"short":"D. Hetterich, M. Serbyn, F. Domínguez, F. Pollmann, B. Trauzettel, Physical Review B 96 (2017).","apa":"Hetterich, D., Serbyn, M., Domínguez, F., Pollmann, F., &#38; Trauzettel, B. (2017). Noninteracting central site model localization and logarithmic entanglement growth. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevB.96.104203\">https://doi.org/10.1103/PhysRevB.96.104203</a>","chicago":"Hetterich, Daniel, Maksym Serbyn, Fernando Domínguez, Frank Pollmann, and Björn Trauzettel. “Noninteracting Central Site Model Localization and Logarithmic Entanglement Growth.” <i>Physical Review B</i>. American Physical Society, 2017. <a href=\"https://doi.org/10.1103/PhysRevB.96.104203\">https://doi.org/10.1103/PhysRevB.96.104203</a>.","ista":"Hetterich D, Serbyn M, Domínguez F, Pollmann F, Trauzettel B. 2017. Noninteracting central site model localization and logarithmic entanglement growth. Physical Review B. 96(10), 104203.","ama":"Hetterich D, Serbyn M, Domínguez F, Pollmann F, Trauzettel B. Noninteracting central site model localization and logarithmic entanglement growth. <i>Physical Review B</i>. 2017;96(10). doi:<a href=\"https://doi.org/10.1103/PhysRevB.96.104203\">10.1103/PhysRevB.96.104203</a>","ieee":"D. Hetterich, M. Serbyn, F. Domínguez, F. Pollmann, and B. Trauzettel, “Noninteracting central site model localization and logarithmic entanglement growth,” <i>Physical Review B</i>, vol. 96, no. 10. American Physical Society, 2017.","mla":"Hetterich, Daniel, et al. “Noninteracting Central Site Model Localization and Logarithmic Entanglement Growth.” <i>Physical Review B</i>, vol. 96, no. 10, 104203, American Physical Society, 2017, doi:<a href=\"https://doi.org/10.1103/PhysRevB.96.104203\">10.1103/PhysRevB.96.104203</a>."},"publication_identifier":{"issn":["24699950"]},"doi":"10.1103/PhysRevB.96.104203","publication":"Physical Review B","author":[{"full_name":"Hetterich, Daniel","first_name":"Daniel","last_name":"Hetterich"},{"orcid":"0000-0002-2399-5827","full_name":"Serbyn, Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","first_name":"Maksym","last_name":"Serbyn"},{"full_name":"Domínguez, Fernando","first_name":"Fernando","last_name":"Domínguez"},{"full_name":"Pollmann, Frank","last_name":"Pollmann","first_name":"Frank"},{"last_name":"Trauzettel","first_name":"Björn","full_name":"Trauzettel, Björn"}]}