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Quantum quenches in one-dimensional gapless systems

Authors
Becca, Federico
Parola, Alberto
Published in The European Physical Journal. B, Condensed Matter. 2013, vol. 86, no. 2, p. 55
Abstract We present a comparison between the bosonization results for quantum quenches and exact diagonalizations in microscopic models of interacting spinless fermions in a one-dimensional lattice. The numerical analysis of the long-time averages shows that density-density correlations at small momenta tend to a non-zero limit, mimicking a thermal behavior. These results are at variance with the bosonization approach, which predicts the presence of long-wavelength critical properties in the long-time evolution. By contrast, the numerical results for finite momenta suggest that the singularities at 2kF in the density- density correlations and at kF in the momentum distribution are preserved during the time evolution. The presence of an interaction term that breaks integrability flattens out all singularities, suggesting that the time evolution of one-dimensional lattice models after a quantum quench may differ from that of the Luttinger model.
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Other version: http://link.springer.com/10.1140/epjb/e2012-30978-y
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COIRA, Emanuele, BECCA, Federico, PAROLA, Alberto. Quantum quenches in one-dimensional gapless systems. In: The European Physical Journal. B, Condensed Matter, 2013, vol. 86, n° 2, p. 55. https://archive-ouverte.unige.ch/unige:87844

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Deposited on : 2016-09-28

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