Quantum coherence of planar spin models with Dzyaloshinsky-Moriya interaction

Chandrashekar Radhakrishnan, Igor Ermakov, and Tim Byrnes
Phys. Rev. A 96, 012341 – Published 31 July 2017

Abstract

The quantum coherence of one-dimensional planar spin models with Dzyaloshinsky-Moriya interaction is investigated. The anisotropic XY model, the isotropic XX model, and the transverse field model are studied in the large N limit using two qubit reduced density matrices and two point correlation functions. From our investigations we find that the coherence as measured using Jensen-Shannon divergence can be used to detect quantum phase transitions and quantum critical points. The derivative of coherence shows nonanalytic behavior at critical points, leading to the conclusion that these transitions are of second order. Further, we show that the presence of Dzyaloshinsky-Moriya coupling suppresses the phase transition due to residual ferromagnetism, which is caused by spin canting.

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  • Received 18 March 2017
  • Revised 15 June 2017

DOI:https://doi.org/10.1103/PhysRevA.96.012341

©2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Chandrashekar Radhakrishnan

  • New York University Shanghai, 1555 Century Avenue, Pudong, Shanghai 200122, China and NYU-ECNU Institute of Physics at NYU Shanghai, 1555 Century Avenue, Pudong, Shanghai 200122, China

Igor Ermakov

  • New York University Shanghai, 1555 Century Avenue, Pudong, Shanghai 200122, China; ITMO University, Kronverkskiy 49, 197101 Saint Petersburg, Russia; and Saint Petersburg State University, University Embankment, 7-9, Saint Petersburg, Russia

Tim Byrnes

  • State Key Laboratory of Precision Spectroscopy, School of Physical and Material Sciences, East China Normal University, Shanghai 200062, China; New York University Shanghai, 1555 Century Avenue, Pudong, Shanghai 200122, China; NYU-ECNU Institute of Physics at NYU Shanghai, 1555 Century Avenue, Pudong, Shanghai 200122, China; National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan; and Department of Physics, New York University, New York, New York 100003, USA

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Issue

Vol. 96, Iss. 1 — July 2017

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