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- W2915707785 abstract "We use Nielsen's geometric approach to quantify the circuit complexity in a one-dimensional Kitaev chain across a topological phase transition. We find that the circuit complexities of both the ground states and non-equilibrium steady states of the Kitaev model exhibit non-analytical behaviors at the critical points, and thus can be used to detect both {it equilibrium} and {it dynamical} topological phase transitions. Moreover, we show that the locality property of the real-space optimal Hamiltonian connecting two different ground states depends crucially on whether the two states belong to the same or different phases. This provides a concrete example of classifying different gapped phases using Nielsen's circuit complexity. We further generalize our results to a Kitaev chain with long-range pairing, and discuss generalizations to higher dimensions. Our result opens up a new avenue for using circuit complexity as a novel tool to understand quantum many-body systems." @default.
- W2915707785 created "2019-03-02" @default.
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- W2915707785 date "2020-03-16" @default.
- W2915707785 modified "2023-10-15" @default.
- W2915707785 title "Circuit complexity across a topological phase transition" @default.
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- W2915707785 doi "https://doi.org/10.1103/physrevresearch.2.013323" @default.
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