ArticleiScience2019
Fixed Points and Dynamic Topological Phenomena in a Parity-Time-Symmetric Quantum Quench.
Article in iScience, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- Self-normal and biorthogonal dynamical quantum phase transitions in non-Hermitian quantum walks.Light, science & applications · 2025Article
- Topological holographic quench dynamics in a synthetic frequency dimension.Light, science & applications · 2021Article
- Observation of emergent momentum-time skyrmions in parity-time-symmetric non-unitary quench dynamics.Nature communications · 2019Article
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5 authors.
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Abstract
We identify dynamic topological phenomena such as dynamic Chern numbers and dynamic quantum phase transitions in quantum quenches of the non-Hermitian Su-Schrieffer-Heeger Hamiltonian with parity-time (PT) symmetry. Their occurrences in the non-unitary dynamics are intimately connected with fixed points in the Brillouin zone, where the density matrices do not evolve in time. Based on our theoretical formalism characterizing topological properties of non-unitary dynamics, we prove the existence of fixed points for quenches between distinct static topological phases in the PT-symmetry-preserving regime, thus unveiling the interplay between dynamic topological phenomena and PT symmetry. Interestingly, non-Hermiticity of the driving Hamiltonian gives rise to rich dynamic topological phenomena which are different, either qualitatively or quantitatively, from their counterparts in unitary dynamics. Our work sheds light on dynamic topological phenomena in open systems and is readily accessible in experiments.
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