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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus

IMPACT FACTOR 2017: 1.414

CiteScore 2018: 1.15

SCImago Journal Rank (SJR) 2018: 0.370
Source Normalized Impact per Paper (SNIP) 2018: 0.431

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Volume 71, Issue 12


Sudden and Slow Quenches into the Antiferromagnetic Phase of Ultracold Fermions

Monika Ojekhile
  • Zentrum für Optische Quantentechnologien and Institut für Laserphysik, Universität Hamburg, 22761 Hamburg, Germany.
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Robert HöppnerORCID iD: http://orcid.org/0000-0001-8072-3599 / Henning Moritz / Ludwig Mathey
  • Corresponding author
  • Zentrum für Optische Quantentechnologien and Institut für Laserphysik, Universität Hamburg, 22761 Hamburg, Germany.
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  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2016-11-02 | DOI: https://doi.org/10.1515/zna-2016-0313


We propose a method to reach the antiferromagnetic state of two-dimensional Fermi gases trapped in optical lattices: Independent subsystems are prepared in suitable initial states and then connected by a sudden or slow quench of the tunneling between the subsystems. Examples of suitable low-entropy subsystems are double wells or plaquettes, which can be experimentally realised in Mott insulating shells using optical super-lattices. We estimate the effective temperature T* of the system after the quench by calculating the distribution of excitations created using the spin wave approximation in a Heisenberg model. We investigate the effect of an initial staggered magnetic field and find that for an optimal polarisation of the initial state the effective temperature can be significantly reduced from T*≈1.7 Tc at zero polarisation to T*<0.65Tc, where Tc is the crossover temperature to the antiferromagnetic state. The temperature can be further reduced using a finite quench time. We also show that T* decreases logarithmically with the linear size of the subsystem.

Keywords: Antiferromagnetism; Heisenberg Spins; Sudden Quench

PACS: 67.85.-d; 71.10.Fd; 75.30.Ds


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About the article

Received: 2016-08-23

Accepted: 2016-09-26

Published Online: 2016-11-02

Published in Print: 2016-12-01

Citation Information: Zeitschrift für Naturforschung A, Volume 71, Issue 12, Pages 1143–1150, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-2016-0313.

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