Quantum states far from the energy eigenstates of any local hamiltonian

Haselgrove, HL, Nielsen, MA and Osborne, TJ (2003) Quantum states far from the energy eigenstates of any local hamiltonian. Physical Review Letters, 91 21: . doi:10.1103/PhysRevLett.91.210401

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Author Haselgrove, HL
Nielsen, MA
Osborne, TJ
Title Quantum states far from the energy eigenstates of any local hamiltonian
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 0031-9007
Publication date 2003
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.91.210401
Open Access Status File (Publisher version)
Volume 91
Issue 21
Total pages 4
Editor Martin Blume
Place of publication United States
Publisher American Physical Society
Collection year 2003
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
Abstract What quantum states are possible energy eigenstates of a many-body Hamiltonian? Suppose the Hamiltonian is nontrivial, i.e., not a multiple of the identity, and L local, in the sense of containing interaction terms involving at most L bodies, for some fixed L. We construct quantum states psi which are far away from all the eigenstates E of any nontrivial L-local Hamiltonian, in the sense that parallel topsi-Eparallel to is greater than some constant lower bound, independent of the form of the Hamiltonian.
Keyword Physics, Multidisciplinary
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2004 Higher Education Research Data Collection
School of Physical Sciences Publications
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Citation counts: TR Web of Science Citation Count  Cited 12 times in Thomson Reuters Web of Science Article | Citations
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Created: Wed, 15 Aug 2007, 02:00:52 EST