Study of Loschmidt echo for two-dimensional Kitaev model

Shraddha Sharma, Atanu Rajak

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6 Scopus citations


In this paper, we study the Loschmidt Echo (LE) of a two-dimensional Kitaev model residing on a honeycomb lattice which is chosen to be an environment that is coupled globally to a central spin. The decay of the LE is highly influenced by the quantum criticality of the environmental spin model, e.g.,it shows a sharp dip close to the anisotropic quantum critical point (AQCP) of its phase diagram. The early time decay and the collapse and revival as a function of time at AQCP also exhibit interesting scaling behavior with the system size, which is verified numerically. It has also been observed that the LE stays vanishingly small throughout the gapless phase of the model. The above study has also been extended to the 1D Kitaev model, i.e.when one of the interaction terms vanishes.

Original languageEnglish
Article numberP08005
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number8
StatePublished - Aug 2012
Externally publishedYes


  • ladders and planes (theory)
  • quantum phase transitions (theory)
  • spin chains


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