REAL

Universal front propagation in the quantum Ising chain with domain-wall initial states

Eisler, Viktor and Maislinger Florian, Florian and Evertz, Hans Gerd (2016) Universal front propagation in the quantum Ising chain with domain-wall initial states. SCIPOST PHYSICS, 1 (2). ISSN 2542-4653

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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.

Item Type: Article
Uncontrolled Keywords: MODEL; TEMPERATURE; DYNAMICS; MAGNETIZATION; ENTANGLEMENT; TRANSVERSE FIELD; MATRIX RENORMALIZATION-GROUP; XX chain; Condensed Matter - Statistical Mechanics; XY SPIN CHAIN; HARD-CORE BOSONS;
Subjects: Q Science / természettudomány > QC Physics / fizika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 29 Sep 2023 14:12
Last Modified: 29 Sep 2023 14:12
URI: http://real.mtak.hu/id/eprint/175757

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