Domain Wall Dynamics near a Quantum Critical Point

Abstract

We study the real-time domain-wall dynamics near a quantum critical point of the one-dimensional anisotropic ferromagnetic spin 1/2 chain. By numerical simulation, we find the domain wall is dynamically stable in the Heisenberg-Ising model. Near the quantum critical point, the width of the domain wall diverges as $(\Delta -1{)}^{-1/2}$.

to appear in Phys. Rev. B

References in corpus (3)

• An efficient scheme for numerical simulations of the spin-bath decoherence
• Calculating the linear response functions of non-interacting electrons by the time-dependent Schroedinger equation
• Quantum Dynamics of Spin Wave Propagation Through Domain Walls

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• Exact hydrodynamic solution of a double domain wall melting in the spin-1/2 XXZ model
• Experimental Investigation of a Bipartite Quench in a 1D Bose gas
• Interaction-induced transition in quantum many-body detection probability