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Holographic Quantum States

Autor(en)
Tobias J. Osborne, Jens Eisert, Frank Verstraete
Abstrakt

We show how continuous matrix product states of quantum fields can be described in terms of the dissipative nonequilibrium dynamics of a lower-dimensional auxiliary boundary field by demonstrating that the spatial correlation functions of the bulk field correspond to the temporal statistics 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 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.

Organisation(en)
Quantenoptik, Quantennanophysik und Quanteninformation
Externe Organisation(en)
Wissenschaftskolleg zu Berlin
Journal
Physical Review Letters
Band
105
Anzahl der Seiten
4
ISSN
0031-9007
DOI
https://doi.org/10.1103/PhysRevLett.105.260401
Publikationsdatum
12-2010
Peer-reviewed
Ja
ÖFOS 2012
103025 Quantenmechanik
Schlagwörter
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/4a1adb3f-f137-4755-a66b-e229f9a8c5e8