Full characterization of the quantum linear-zigzag transition in atomic chains

Pietro Silvi*, Gabriele De Chiara, Tommaso Calarco, Giovanna Morigi, Simone Montangero

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

A string of repulsively interacting particles exhibits a phase transition to a zigzag structure, by reducing the transverse trap potential or the interparticle distance. Based on the emergent symmetry Z2 it has been argued that this instability is a quantum phase transition, which can be mapped to an Ising model in transverse field. An extensive Density Matrix Renormalization Group analysis is performed, resulting in an high-precision evaluation of the critical exponents and of the central charge of the system, confirming that the quantum linear-zigzag transition belongs to the critical Ising model universality class. Quantum corrections to the classical phase diagram are computed, and the range of experimental parameters where quantum effects play a role is provided. These results show that structural instabilities of one-dimensional interacting atomic arrays can simulate quantum critical phenomena typical of ferromagnetic systems.

Original languageEnglish
Pages (from-to)827-832
Number of pages6
JournalAnnalen der physik
Volume525
Issue number10-11
Early online date31 Jul 2013
DOIs
Publication statusPublished - Nov 2013

Keywords

  • Trapped interacting atoms
  • linear-zigzag stuctural instability
  • quantum phase transition
  • MATRIX RENORMALIZATION-GROUP
  • QUADRUPOLE STORAGE-RING
  • ENTANGLEMENT
  • PHYSICS
  • GASES
  • SYSTEMS
  • IONS

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