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arXiv · 2606.24830

Long-time asymptotics of the autocorrelation function of the transverse Ising chain at the critical magnetic field Revisited

Noah Hout·Kenta Miyahara·Dustin Newland·Maxim Yattselev
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Abstract

Following the work of Deift and Zhou (DOI:10.1007/978-1-4615-2474-8_15), we analyze the long-time asymptotics of the autocorrelation function of the transverse Ising chain at the critical magnetic field (a special case of the spin-$\frac12$ XY model in a magnetic field) via the associated Riemann-Hilbert problem. We refine the original Deift-Zhou's result by determining the subleading growing term in the asymptotics.

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Noah Hout, Kenta Miyahara, Dustin Newland, Maxim Yattselev. 2026-06-23. Long-time asymptotics of the autocorrelation function of the transverse Ising chain at the critical magnetic field Revisited. https://arxiv.org/abs/2606.24830

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