Dynamic crystallization in a quantum Ising chain

• URL: http://arxiv.org/abs/2004.09021v2
• Date: Fri, 14 Aug 2020 00:29:53 GMT
• Title: Dynamic crystallization in a quantum Ising chain
• Authors: K. L. Zhang, Z. Song
• Abstract summary: We study the dynamic processes of crystallization and dissolution for the gapped ground states in an Ising chain. We show that the ground state and the first-excited state of an $ left( N+1right) $-site chain can be generated from that of the $N$-site one by adding a spin adiabatically. Numerical simulation shows that the robust quasidegenerate ground states of finite-size chain can be prepared with high fidelity from a set of noninteracting spins.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The topological degeneracy of ground states in transverse field Ising chain cannot be removed by local perturbation and allows it to be a promising candidate for topological computation. We study the dynamic processes of crystallization and dissolution for the gapped ground states in an Ising chain. For this purpose, the real-space renormalization method is employed to build an effective Hamiltonian that captures the low-energy physics of a given system. We show that the ground state and the first-excited state of an $ \left( N+1\right) $-site chain can be generated from that of the $N$-site one by adding a spin adiabatically and vice versa. Numerical simulation shows that the robust quasidegenerate ground states of finite-size chain can be prepared with high fidelity from a set of noninteracting spins by a quasiadiabatic process. As an application, we propose a scheme for entanglement transfer between a pair of spins and two separable Ising chains as macroscopic topological qubits.

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