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Universal front propagation in the quantum Ising chain with domain-wall initial states
by Viktor Eisler, Florian Maislinger, Hans Gerd Evertz
- Published as SciPost Phys. 1, 014 (2016)
|As Contributors:||Viktor Eisler|
|Submitted by:||Eisler, Viktor|
|Submitted to:||SciPost Physics|
|Subject area:||Quantum Physics|
We study the melting of domain walls in the ferromagnetic phase of the transverse Ising chain, created by flipping the order-parameter spins along one-half of the chain. If the initial state is excited by a local operator in terms of Jordan-Wigner fermions, the resulting longitudinal magnetization profiles have a universal character. Namely, after proper rescalings, the profiles in the noncritical Ising chain become identical to those obtained for a critical free-fermion chain starting from a step-like initial state. The relation holds exactly in the entire ferromagnetic phase of the Ising chain and can even be extended to the zero-field XY model by a duality argument. In contrast, for domain-wall excitations that are highly non-local in the fermionic variables, the universality of the magnetization profiles is lost. Nevertheless, for both cases we observe that the entanglement entropy asymptotically saturates at the ground-state value, suggesting a simple form of the steady state.
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