Spectral form factors of clean and random quantum Ising chains

Fuente: arXiv
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Autori principali: Nivedita, Shackleton, Leyna, Sachdev, Subir
Natura: Preprint
Pubblicazione: 2020
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author Nivedita
Shackleton, Leyna
Sachdev, Subir
author_facet Nivedita
Shackleton, Leyna
Sachdev, Subir
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2001_06732
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Spectral form factors of clean and random quantum Ising chains
Nivedita
Shackleton, Leyna
Sachdev, Subir
Strongly Correlated Electrons
Statistical Mechanics
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.
title Spectral form factors of clean and random quantum Ising chains
topic Strongly Correlated Electrons
Statistical Mechanics
url https://arxiv.org/abs/2001.06732