Defect generation and dynamics during quenching in finite size homogeneous ion chains

• URL: http://arxiv.org/abs/2001.09586v2
• Date: Thu, 14 May 2020 08:09:32 GMT
• Title: Defect generation and dynamics during quenching in finite size homogeneous ion chains
• Authors: J. Pedregosa-Gutierrez and M. Mukherjee
• Abstract summary: An equally spaced linear chain of ions provides a test-bed for studying the defect formation in a finite size 1D system. The non-adiabatic transition between the chain and zig-zag topologies for a finite size system of 30 ions shows clear distinction from non-uniformly distributed ion chain.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: An equally spaced linear chain of ions provides a test-bed for studying the defect formation in a finite size 1D system. In particular, defect formation related to topological phase transition from a linear configuration to a zig-zag one is of interest here. A semi-empirical expression provides an excellent agreement to the numerical results. The non-adiabatic transition between the chain and zig-zag topologies for a finite size system of 30 ions shows clear distinction from non-uniformly distributed ion chain. Thus the underlying Homogeneous Kibble-Zurek model can be tested in presently accessible ion trap experiments. Furthermore, our study indicates collective defect behaviour appearing through the correlation length measurements.

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