{"type":"preprint","citation":{"mla":"Hinrichs, Benjamin, et al. “On Lieb-Robinson Bounds for a Class of Continuum Fermions.” <i>ArXiv:2310.17736</i>, 2023.","chicago":"Hinrichs, Benjamin, Marius Lemm, and Oliver Siebert. “On Lieb-Robinson Bounds for a Class of Continuum Fermions.” <i>ArXiv:2310.17736</i>, 2023.","apa":"Hinrichs, B., Lemm, M., &#38; Siebert, O. (2023). On Lieb-Robinson bounds for a class of continuum fermions. In <i>arXiv:2310.17736</i>.","short":"B. Hinrichs, M. Lemm, O. Siebert, ArXiv:2310.17736 (2023).","ama":"Hinrichs B, Lemm M, Siebert O. On Lieb-Robinson bounds for a class of continuum fermions. <i>arXiv:231017736</i>. Published online 2023.","bibtex":"@article{Hinrichs_Lemm_Siebert_2023, title={On Lieb-Robinson bounds for a class of continuum fermions}, journal={arXiv:2310.17736}, author={Hinrichs, Benjamin and Lemm, Marius and Siebert, Oliver}, year={2023} }","ieee":"B. Hinrichs, M. Lemm, and O. Siebert, “On Lieb-Robinson bounds for a class of continuum fermions,” <i>arXiv:2310.17736</i>. 2023."},"project":[{"_id":"266","grant_number":"PROFILNRW-2020-067","name":"PhoQC: PhoQC: Photonisches Quantencomputing"}],"department":[{"_id":"799"}],"date_created":"2024-02-18T12:33:21Z","external_id":{"arxiv":["2310.17736"]},"_id":"51375","status":"public","author":[{"orcid":"0000-0001-9074-1205","id":"99427","first_name":"Benjamin","last_name":"Hinrichs","full_name":"Hinrichs, Benjamin"},{"last_name":"Lemm","full_name":"Lemm, Marius","first_name":"Marius"},{"full_name":"Siebert, Oliver","last_name":"Siebert","first_name":"Oliver"}],"year":"2023","user_id":"99427","title":"On Lieb-Robinson bounds for a class of continuum fermions","publication":"arXiv:2310.17736","abstract":[{"text":"We consider the quantum dynamics of a many-fermion system in $\\mathbb R^d$\r\nwith an ultraviolet regularized pair interaction as previously studied in [M.\r\nGebert, B. Nachtergaele, J. Reschke, and R. Sims, Ann. Henri Poincar\\'e 21.11\r\n(2020)]. We provide a Lieb-Robinson bound under substantially relaxed\r\nassumptions on the potentials. We also improve the associated one-body\r\nLieb-Robinson bound on $L^2$-overlaps to an almost ballistic one (i.e., an\r\nalmost linear light cone) under the same relaxed assumptions. Applications\r\ninclude the existence of the infinite-volume dynamics and clustering of ground\r\nstates in the presence of a spectral gap. We also develop a fermionic continuum\r\nnotion of conditional expectation and use it to approximate time-evolved\r\nfermionic observables by local ones, which opens the door to other applications\r\nof the Lieb-Robinson bounds.","lang":"eng"}],"language":[{"iso":"eng"}],"date_updated":"2024-02-18T12:34:43Z"}