Operator growth in the transverse-field Ising spin chain with integrability-breaking longitudinal field

Understand

We investigate the operator growth dynamics of the transverse field Ising spin chain in one dimension as varying the strength of the longitudinal field.

• An operator in the Heisenberg picture spreads in the extended Hilbert space.
• Recently, it has been proposed that the spreading dynamics has a universal feature signaling chaoticity of underlying quantum dynamics.
• We demonstrate numerically that the operator growth dynamics in the presence of the longitudinal field follows the universal scaling law for one-dimensional chaotic systems.