{"intvolume":" 2021","volume":2021,"keyword":["Nuclear and High Energy Physics"],"author":[{"last_name":"Daguerre","full_name":"Daguerre, Lucas","first_name":"Lucas"},{"full_name":"Medina Ramos, Raimel A","first_name":"Raimel A","last_name":"Medina Ramos","orcid":"0000-0002-5383-2869","id":"CE680B90-D85A-11E9-B684-C920E6697425"},{"first_name":"Mario","full_name":"Solís, Mario","last_name":"Solís"},{"last_name":"Torroba","first_name":"Gonzalo","full_name":"Torroba, Gonzalo"}],"publisher":"Springer Nature","citation":{"apa":"Daguerre, L., Medina Ramos, R. A., Solís, M., & Torroba, G. (2021). Aspects of quantum information in finite density field theory. Journal of High Energy Physics. Springer Nature. https://doi.org/10.1007/jhep03(2021)079","mla":"Daguerre, Lucas, et al. “Aspects of Quantum Information in Finite Density Field Theory.” Journal of High Energy Physics, vol. 2021, no. 3, 79, Springer Nature, 2021, doi:10.1007/jhep03(2021)079.","ieee":"L. Daguerre, R. A. Medina Ramos, M. Solís, and G. Torroba, “Aspects of quantum information in finite density field theory,” Journal of High Energy Physics, vol. 2021, no. 3. Springer Nature, 2021.","ama":"Daguerre L, Medina Ramos RA, Solís M, Torroba G. Aspects of quantum information in finite density field theory. Journal of High Energy Physics. 2021;2021(3). doi:10.1007/jhep03(2021)079","chicago":"Daguerre, Lucas, Raimel A Medina Ramos, Mario Solís, and Gonzalo Torroba. “Aspects of Quantum Information in Finite Density Field Theory.” Journal of High Energy Physics. Springer Nature, 2021. https://doi.org/10.1007/jhep03(2021)079.","short":"L. Daguerre, R.A. Medina Ramos, M. Solís, G. Torroba, Journal of High Energy Physics 2021 (2021).","ista":"Daguerre L, Medina Ramos RA, Solís M, Torroba G. 2021. Aspects of quantum information in finite density field theory. Journal of High Energy Physics. 2021(3), 79."},"publication_status":"published","_id":"15269","title":"Aspects of quantum information in finite density field theory","ddc":["530"],"publication_identifier":{"issn":["1029-8479"]},"month":"03","article_type":"original","language":[{"iso":"eng"}],"quality_controlled":"1","publication":"Journal of High Energy Physics","oa_version":"Published Version","external_id":{"arxiv":["2011.01252"]},"abstract":[{"lang":"eng","text":"We study different aspects of quantum field theory at finite density using methods from quantum information theory. For simplicity we focus on massive Dirac fermions with nonzero chemical potential, and work in 1 + 1 space-time dimensions. Using the entanglement entropy on an interval, we construct an entropic c-function that is finite. Unlike what happens in Lorentz-invariant theories, this c-function exhibits a strong violation of monotonicity; it also encodes the creation of long-range entanglement from the Fermi surface. Motivated by previous works on lattice models, we next calculate numerically the Renyi entropies and find Friedel-type oscillations; these are understood in terms of a defect operator product expansion. Furthermore, we consider the mutual information as a measure of correlation functions between different regions. Using a long-distance expansion previously developed by Cardy, we argue that the mutual information detects Fermi surface correlations already at leading order in the expansion. We also analyze the relative entropy and its Renyi generalizations in order to distinguish states with different charge and/or mass. In particular, we show that states in different superselection sectors give rise to a super-extensive behavior in the relative entropy. Finally, we discuss possible extensions to interacting theories, and argue for the relevance of some of these measures for probing non-Fermi liquids."}],"date_created":"2024-04-03T07:51:06Z","department":[{"_id":"MaSe"}],"issue":"3","year":"2021","file":[{"content_type":"application/pdf","success":1,"file_name":"2021_JourHighEnergyPhysics_Daguerre.pdf","date_created":"2024-04-10T09:18:38Z","file_size":5389195,"checksum":"4f540e63988ee87173e02f51a19a6672","relation":"main_file","access_level":"open_access","date_updated":"2024-04-10T09:18:38Z","file_id":"15310","creator":"dernst"}],"date_updated":"2024-04-10T09:19:43Z","article_processing_charge":"Yes","has_accepted_license":"1","file_date_updated":"2024-04-10T09:18:38Z","day":"08","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2021-03-08T00:00:00Z","acknowledgement":"We thank H. Casini for many interesting discussions and comments on the manuscript.\r\nLD is supported by CNEA and UNCuyo, Inst. Balseiro. RM is supported by IST Austria.\r\nMS is supported by CONICET and UNCuyo, Inst. Balseiro. GT is supported by CONICET\r\n(PIP grant 11220150100299), ANPCyT (PICT 2018-2517), CNEA, and UNCuyo,\r\nInst. Balseiro.","type":"journal_article","oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png"},"article_number":"79","status":"public","doi":"10.1007/jhep03(2021)079"}