Spectral form factors of clean and random quantum Ising chains
arXiv:2001.06732 · doi:10.1103/PhysRevE.101.042136
Abstract
We compute the spectral form factor of two integrable quantum-critical many body systems in one spatial dimension. The spectral form factor of the quantum Ising chain is periodic in time in the scaling limit described by a conformal field theory; we also compute corrections from lattice effects and deviation from criticality. Criticality in the random Ising chain is described by rare regions associated with a strong randomness fixed point, and these control the long time limit of the spectral form factor.
21 pages, 7 figures
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