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Abstract
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.
Original language | English |
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Article number | 014 |
Journal | SciPost Physics |
Volume | 1 |
Issue number | 2 |
DOIs | |
Publication status | Published - 30 Dec 2016 |
Keywords
- cond-mat.stat-mech
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Dive into the research topics of 'Universal front propagation in the quantum Ising chain with domain-wall initial states'. Together they form a unique fingerprint.Projects
- 1 Finished
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FWF-ECOFFEQ - Entanglement and correlations far from equillibrium
1/09/15 → 31/08/18
Project: Research project