Dynamical error bounds for continuum discretisation via Gauss quadrature rules-A Lieb-Robinson bound approach

Title

Dynamical error bounds for continuum discretisation via Gauss quadrature rules-A Lieb-Robinson bound approach

 Author

Woods, M.P. (TU Delft QID/Wehner Group; TU Delft QuTech Advanced Research Centre; University College London (UCL); National University of Singapore)
Plenio, M. B. (University of Ulm)

Date

2016-02-01

 Abstract

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.


 To reference this document use:

http://resolver.tudelft.nl/uuid:edd88ed6-abfd-4a77-964c-27cf2a648818

 DOI

https://doi.org/10.1063/1.4940436

 Embargo date

2017-02-14

 ISSN

0022-2488

 Source

Journal of Mathematical Physics, 57 (2)

 Part of collection

Institutional Repository

 Document type

journal article

 Rights

© 2016 M.P. Woods, M. B. Plenio
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