Elementary excitations in gapped quantum spin systems

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Jutho Haegeman
  • Spyridon Michalakis
  • Bruno Nachtergaele
  • Tobias J. Osborne
  • Norbert Schuch
  • Frank Verstraete

Organisationseinheiten

Externe Organisationen

  • Universiteit Gent
  • California Institute of Technology (Caltech)
  • University of California at Davis
  • Rheinisch-Westfälische Technische Hochschule Aachen (RWTH)
  • Universität Wien
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Details

OriginalspracheEnglisch
Aufsatznummer080401
FachzeitschriftPhysical Review Letters
Jahrgang111
Ausgabenummer8
PublikationsstatusVeröffentlicht - 19 Aug. 2013

Abstract

For quantum lattice systems with local interactions, the Lieb-Robinson bound serves as an alternative for the strict causality of relativistic systems and allows the proof of many interesting results, in particular, when the energy spectrum exhibits an energy gap. In this Letter, we show that for translation invariant systems, simultaneous eigenstates of energy and momentum with an eigenvalue that is separated from the rest of the spectrum in that momentum sector can be arbitrarily well approximated by building a momentum superposition of a local operator acting on the ground state. The error satisfies an exponential bound in the size of the support of the local operator, with a rate determined by the gap below and above the targeted eigenvalue. We show this explicitly for the Affleck-Kennedy-Lieb-Tasaki model and discuss generalizations and applications of our result.

ASJC Scopus Sachgebiete

Zitieren

Elementary excitations in gapped quantum spin systems. / Haegeman, Jutho; Michalakis, Spyridon; Nachtergaele, Bruno et al.
in: Physical Review Letters, Jahrgang 111, Nr. 8, 080401, 19.08.2013.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Haegeman, J, Michalakis, S, Nachtergaele, B, Osborne, TJ, Schuch, N & Verstraete, F 2013, 'Elementary excitations in gapped quantum spin systems', Physical Review Letters, Jg. 111, Nr. 8, 080401. https://doi.org/10.1103/PhysRevLett.111.080401
Haegeman, J., Michalakis, S., Nachtergaele, B., Osborne, T. J., Schuch, N., & Verstraete, F. (2013). Elementary excitations in gapped quantum spin systems. Physical Review Letters, 111(8), Artikel 080401. https://doi.org/10.1103/PhysRevLett.111.080401
Haegeman J, Michalakis S, Nachtergaele B, Osborne TJ, Schuch N, Verstraete F. Elementary excitations in gapped quantum spin systems. Physical Review Letters. 2013 Aug 19;111(8):080401. doi: 10.1103/PhysRevLett.111.080401
Haegeman, Jutho ; Michalakis, Spyridon ; Nachtergaele, Bruno et al. / Elementary excitations in gapped quantum spin systems. in: Physical Review Letters. 2013 ; Jahrgang 111, Nr. 8.
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