期刊
JOURNAL OF MATHEMATICAL PHYSICS
卷 57, 期 2, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.4940436
关键词
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资金
- MOE Tier 3A [MOE2012-T3-1]
- Alexander von Humboldt Professorship
- ERC grant BioQ
- EU projects PAPETS
- SIQS
Instances of discrete quantum systems coupled to a continuum of oscillators are ubiquitous in physics. Often the continua are approximated by a discrete set of modes. We derive error bounds on expectation values of system observables that have been time evolved under such discretised Hamiltonians. These bounds take on the form of a function of time and the number of discrete modes, where the discrete modes are chosen according to Gauss quadrature rules. The derivation makes use of tools from the field of Lieb-Robinson bounds and the theory of orthonormal polynomials. (C) 2016 AIP Publishing LLC.
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