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Spectral form factors of clean and random quantum Ising chains
Nivedita1, Henry Shackleton2, Subir Sachdev2
1Department of Materials Science, Indian Institute of Technology, Kanpur, Uttar Pradesh 208016, India.
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.
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