Kaleidoscope of quantum phases in a long-range interacting spin-1 chain

Z.-X. Gong, M. F. Maghrebi, A. Hu, M. Foss-Feig, P. Richerme, C. Monroe, and A. V. Gorshkov
Phys. Rev. B 93, 205115 – Published 11 May 2016

Abstract

Motivated directly by recent trapped-ion quantum simulation experiments, we carry out a comprehensive study of the phase diagram of a spin-1 chain with XXZ-type interactions that decay as 1/rα, using a combination of finite and infinite-size DMRG calculations, spin-wave analysis, and field theory. In the absence of long-range interactions, varying the spin-coupling anisotropy leads to four distinct and well-studied phases: a ferromagnetic Ising phase, a disordered XY phase, a topological Haldane phase, and an antiferromagnetic Ising phase. If long-range interactions are antiferromagnetic and thus frustrated, we find primarily a quantitative change of the phase boundaries. On the other hand, ferromagnetic (nonfrustrated) long-range interactions qualitatively impact the entire phase diagram. Importantly, for α3, long-range interactions destroy the Haldane phase, break the conformal symmetry of the XY phase, give rise to a new phase that spontaneously breaks a U(1) continuous symmetry, and introduce a possibly exotic tricritical point with no direct parallel in short-range interacting spin chains. Importantly, we show that the main signatures of all five phases found could be observed experimentally in the near future.

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  • Received 13 October 2015
  • Revised 3 February 2016

DOI:https://doi.org/10.1103/PhysRevB.93.205115

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Z.-X. Gong1,2,*, M. F. Maghrebi1,2, A. Hu1,3, M. Foss-Feig1,2, P. Richerme1,4, C. Monroe1,2, and A. V. Gorshkov1,2

  • 1Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA
  • 2Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA
  • 3Department of Physics, American University, Washington, DC 20016, USA
  • 4Department of Physics, Indiana University, Bloomington, Indiana, 47405, USA

  • *gzx@umd.edu

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Issue

Vol. 93, Iss. 20 — 15 May 2016

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