{ "id": "1005.1268", "version": "v2", "published": "2010-05-07T18:00:21.000Z", "updated": "2010-05-12T19:44:21.000Z", "title": "Holographic quantum states", "authors": [ "Tobias J. Osborne", "Jens Eisert", "Frank Verstraete" ], "comment": "6 pages, 1 figure. Emphasis changed", "journal": "Phys. Rev. Lett. 105, 260401 (2010)", "doi": "10.1103/PhysRevLett.105.260401", "categories": [ "quant-ph", "cond-mat.str-el", "hep-th" ], "abstract": "We show how continuous matrix product states of quantum field theories can be described in terms of the dissipative non-equilibrium dynamics of a lower-dimensional auxiliary boundary field theory. We demonstrate that the spatial correlation functions of the bulk field can be brought into one-to-one correspondence with the temporal statistics of the quantum jumps of the boundary field. This equivalence: (1) illustrates an intimate connection between the theory of continuous quantum measurement and quantum field theory; (2) gives an explicit construction of the boundary field theory allowing the extension of real-space renormalization group methods to arbitrary dimensional quantum field theories without the introduction of a lattice parameter; and (3) yields a novel interpretation of recent cavity QED experiments in terms of quantum field theory, and hence paves the way toward observing genuine quantum phase transitions in such zero-dimensional driven quantum systems.", "revisions": [ { "version": "v2", "updated": "2010-05-12T19:44:21.000Z" } ], "analyses": { "subjects": [ "03.65.Ud", "11.10.Kk" ], "keywords": [ "quantum field theory", "holographic quantum states", "genuine quantum phase transitions", "lower-dimensional auxiliary boundary field theory", "arbitrary dimensional quantum field theories" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2010, "month": "Dec", "volume": 105, "number": 26, "pages": 260401 }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "inspire": 854353, "adsabs": "2010PhRvL.105z0401O" } } }