RQMP Get-Together

Level statistics of a critical quantum spin chain

Gabriel Longpré

Département de physique
Université de Montréal

The distribution of the spacing of consecutive energies is an important indicator of integrability and hidden symmetries. We present a quantum spin 1/2 chain and its level spacing distributions in different symmetry sectors. This chain is obtained from a classical Ising spin chain coupled to a bath. Its level statistics (analysed in the context of random matrix theory) show multiple behaviors. Finally, we discuss the technical challenges encountered when computing level statistics of an increasingly large chain.