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Quantum speed limit and topological quantum phase transition in an extended XY model

Author

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  • Cheng, W.W.
  • Li, B.
  • Gong, L.Y.
  • Zhao, S.M.

Abstract

We explore quantum speed limit time τQSL of a qubit system coupling to a spin chain environment which is described by an extended Ising model associated with non-trivial topological characterization. For an initial pure state, we find that τQSL exhibits a behavior of local maximum around all critical points when the environment spin chain undergoes a topological quantum phase transition driven by external magnetic field λ or the anisotropy γ of nearest-neighbor interaction. And the value of local maximum would increase by strengthening the coupling between the system and environment around the critical points. However, the behavior of τQSL are both driving parameters and critical points dependent when the topological quantum phase transition is driven by the three-site interaction α or its anisotropy δ. Additionally, we also investigate τQSL for arbitrary time-evolution state in the whole dynamics process and find that τQSL exhibits a behavior of oscillation at non-critical points. However, τQSL will decay rapidly to zero around all critical points, and such trend accompany with oscillation behavior at some critical points.

Suggested Citation

  • Cheng, W.W. & Li, B. & Gong, L.Y. & Zhao, S.M., 2022. "Quantum speed limit and topological quantum phase transition in an extended XY model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    • Handle: RePEc:eee:phsmap:v:597:y:2022:i:c:s0378437122002199
    DOI: 10.1016/j.physa.2022.127242
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    References listed on IDEAS

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    1. Rafał Demkowicz-Dobrzański & Jan Kołodyński & Mădălin Guţă, 2012. "The elusive Heisenberg limit in quantum-enhanced metrology," Nature Communications, Nature, vol. 3(1), pages 1-8, January.
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