Nonlocality of Observables in Quasi-Hermitian Quantum Theory

[2002.04703] Nonlocality of Observables in Quasi-Hermitian Quantum Theory Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Quantum Physics arXiv:2002.04703 (quant-ph) [Submitted on 11 Feb 2020 ( v1 ), last revised 23 May 2021 (this version, v2)] Title: Nonlocality of Observables in Quasi-Hermitian Quantum Theory Authors: Jacob Barnett View a PDF of the paper titled Nonlocality of Observables in Quasi-Hermitian Quantum Theory, by Jacob Barnett View PDF HTML (experimental) Abstract: Explicit construction of local observable algebras in quasi-Hermitian quantum theories is derived in both the tensor product model of locality and in models of free fermions. The latter construction is applied to several cases of a $\mathcal{PT}$-symmetric toy model of particle-conserving free fermions on a 1-dimensional lattice, with nearest neighbour interactions and open boundary conditions. Despite the locality of the Hamiltonian, local observables do not exist in generic collections of sites in the lattice. The collections of sites which do contain nontrivial observables strongly depends on the complex potential. Comments: 25 pages, 1 figure Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2002.04703 [quant-ph] (or arXiv:2002.04703v2 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2002.04703 Focus to learn more arXiv-issued DOI via DataCite Journal reference: J. Phys. A: Math. Theor. 54, 295307 (2021) Related DOI : https://doi.org/10.1088/1751-8121/ac0732 Focus to learn more DOI(s) linking to related resources Submission history From: Jacob Barnett [ view email ] [v1] Tue, 11 Feb 2020 21:46:02 UTC (330 KB) [v2] Sun, 23 May 2021 00:35:23 UTC (65 KB) Full-text links: Access Paper: View a PDF of the paper titled Nonlocality of Observables in Quasi-Hermitian Quantum Theory, by Jacob Barnett View PDF HTML (experimental) TeX Source view license Current browse context: quant-ph < prev | next > new | recent | 2020-02 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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