Robert J Sims

  • 782 Citations
  • 12 h-Index
19992019
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Lattice System Mathematics
Ground State Mathematics
Disorder Mathematics
Harmonic Oscillator Mathematics
Quantum Systems Mathematics
Quantum Spin System Mathematics
ground state Physics & Astronomy
Spectral Flow Mathematics

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Research Output 1999 2019

  • 782 Citations
  • 12 h-Index
  • 28 Article
  • 3 Chapter
  • 1 Review article
1 Citation (Scopus)

Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms

Nachtergaele, B., Sims, R. J. & Young, A., Jun 1 2019, In : Journal of Mathematical Physics. 60, 6, 061101.

Research output: Contribution to journalArticle

Open Access
Spectral Flow
automorphisms
Lattice System
Locality
Quantum Systems

Correction to: Decay of Determinantal and Pfaffian Correlation Functionals in One-Dimensional Lattices

Sims, R. J. & Warzel, S., Jun 27 2018, (Accepted/In press) In : Communications in Mathematical Physics. p. 1-2 2 p.

Research output: Contribution to journalArticle

Pfaffian
functionals
Decay
decay

Correlations in disordered quantum harmonic oscillator systems: The effects of excitations and quantum quenches

Abdul-Rahman, H., Sims, R. J. & Stolz, G., Jan 1 2018, Contemporary Mathematics. American Mathematical Society, Vol. 717. p. 31-47 17 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Harmonic Oscillator
Decay Estimates
Excitation
Disorder
Momentum
3 Citations (Scopus)

Lieb-robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems

Nachtergaele, B., Sims, R. J. & Young, A., Jan 1 2018, Contemporary Mathematics. American Mathematical Society, Vol. 717. p. 93-115 23 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Spectral Flow
Spectral Stability
Spectral Gap
Fermions
Quantum Spin System
15 Citations (Scopus)

Localization properties of the disordered XY spin chain: A review of mathematical results with an eye toward many-body localization

Abdul-Rahman, H., Nachtergaele, B., Sims, R. J. & Stolz, G., Jul 1 2017, In : Annalen der Physik. 529, 7, 1600280.

Research output: Contribution to journalReview article

Jordan
applications of mathematics
eigenvectors
fermions
propagation