Boltzmann-Gibbs states in topological quantum walks and associated many-body systems: Fidelity and Uhlmann parallel transport analysis of Phase Transitions
| Autor: | Chrysoula Vlachou, Vítor R. Vieira, Nikola Paunković, Bruno Mera |
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| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
Quantum phase transition Phase transition media_common.quotation_subject General Physics and Astronomy Fidelity FOS: Physical sciences Topology 01 natural sciences 010305 fluids & plasmas symbols.namesake 0103 physical sciences Order (group theory) Topological order Quantum walk 010306 general physics Mathematical Physics media_common Physics Quantum Physics Parallel transport Statistical and Nonlinear Physics Modeling and Simulation Boltzmann constant symbols Quantum Physics (quant-ph) |
| DOI: | 10.48550/arxiv.1609.00688 |
| Popis: | We perform the fidelity analysis for Boltzmann-Gibbs-like states in order to investigate whether the topological order of 1D fermionic systems at zero temperature is maintained at finite temperatures. We use quantum walk protocols that are known to simulate topological phases and the respective quantum phase transitions for chiral symmetric Hamiltonians. Using the standard approaches of the fidelity analysis and the study of edge states, we conclude that no thermal-like phase transitions occur as temperature increases, i.e., the topological behaviour is washed out gradually. We also show that the behaviour of the Uhlmann geometric factor associated to the considered fidelity exhibits the same behaviour as the latter, thus confirming the results obtained using the previously established approaches. Comment: 15 pages, 5 figures, 1 table |
| Databáze: | OpenAIRE |
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