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Non-Hermitian topological phases and dynamical quantum phase transitions - a generic connection

At a Glance

Section titled ā€œAt a Glanceā€
MetadataDetails
Publication Date2021-05-26
JournalNew Journal of Physics
AuthorsLongwen Zhou, Qianqian Du
InstitutionsOcean University of China
Citations39

Abstract

Section titled ā€œAbstractā€

Abstract The dynamical and topological properties of non-Hermitian systems have attracted great attention in recent years. In this work, we establish an intrinsic connection between two classes of intriguing phenomenaā€”topological phases and dynamical quantum phase transitions (DQPTs)ā€”in non-Hermitian systems. Focusing on one-dimensional models with chiral symmetry, we find DQPTs following the quench from a trivial to a non-Hermitian topological phase. Moreover, the critical momenta and critical time of the DQPTs are found to be directly related to the topological invariants of the non-Hermitian system. We further demonstrate our theory in three prototypical non-Hermitian lattice models, the lossy Kitaev chain (LKC), the LKC with next-nearest-neighbor hoppings, and the nonreciprocal Su-Schrieffer-Heeger model. Finally, we suggest a proposal to experimentally verify the found connection by a nitrogen-vacancy center in diamond.

Tech Support

Section titled ā€œTech Supportā€

Original Source

Section titled ā€œOriginal Sourceā€

References

Section titled ā€œReferencesā€
  1. 2020 - Exceptional band touching for strongly correlated systems in equilibrium [Crossref]
  2. 2021 - Exceptional topology of non-Hermitian systems [Crossref]
  3. 2019 - New topological invariants in non-Hermitian systems [Crossref]
  4. 2020 - Non-bloch band theory and bulk-edge correspondence in non-Hermitian systems [Crossref]
  5. 2021 - Non-Hermitian physics [Crossref]
  6. 2018 - Non-Hermitian physics and PT symmetry [Crossref]
  7. 2016 - Nonlinear waves in PT-symmetric systems [Crossref]
  8. 2018 - Topological states of non-Hermitian systems [Crossref]
  9. 2016 - Dynamically encircling an exceptional point for asymmetric mode switching [Crossref]
  10. 2017 - Dynamically encircling exceptional points: exact evolution and polarization state conversion [Crossref]

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