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Dynamical phase transitions and Loschmidt echo in the infinite-range XY model

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2016
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Zunkovic, Bojan
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Dynamical phase transitions and Loschmidt echo in the infinite-range XY model
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Author
  • Zunkovic, Bojan;
  • Silva, Alessandro;
  • Fabrizio, Michele;
Abstract
We compare two different notions of dynamical phase transitions in closed quantum systems. The first is identified through the time-averaged value of the equilibrium-order parameter, whereas the second corresponds to non-analyticities in the time behaviour of the Loschmidt echo. By exactly solving the dynamics of the infinite-range XY model, we show that in this model non-analyticities of the Loschmidt echo are not connected to standard dynamical phase transitions and are not robust against quantum fluctuations. Furthermore, we show that the existence of either of the two dynamical transitions is not necessarily connected to the equilibrium quantum phase transition.
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Chilean FONDECYT 3130495
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Artículo de publicación ISI
Identifier
URI: https://repositorio.uchile.cl/handle/2250/141046
DOI: 10.1098/rsta.2015.0160
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Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences Volumen: 374 Número: 2069 Jun 2016
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