Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
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In this paper, the authors investigated interaction-induced topological Mott insulators in a non-Hermitian fermionic superlattice system, and discovered an anomalous boundary effect without its Hermitian counterpart.Abstract:
Non-Hermitian Hamiltonians have been extensively studied at the single-particle level. Here, the authors investigate interaction-induced topological Mott insulators in a non-Hermitian fermionic superlattice system, and discover an anomalous boundary effect without its Hermitian counterpart. The interplay of nonreciprocal hopping, superlattice potential, and interactions leads to the absence of edge excitations, defined via only right eigenvectors, of some in-gap states for both the neutral and charge excitation spectra, which can be restored using biorthogonal eigenvectors.read more
Citations
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Ultrafast and Anharmonic Rabi Oscillations between Non-Bloch-Bands.
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References
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Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension
Elliott H. Lieb,F. Y. Wu +1 more
TL;DR: In this paper, the short-range, one-band model for electron correlations in a narrow energy band is solved exactly in the one-dimensional case, and the ground-state energy, wave function, and chemical potentials are obtained, and it is found that the ground state exhibits no conductor-insulator transition as the correlation strength is increased.
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Parity–time-symmetric whispering-gallery microcavities
Bo Peng,Sahin Kaya Ozdemir,Fuchuan Lei,Fuchuan Lei,Faraz Monifi,Mariagiovanna Gianfreda,Gui-Lu Long,Shanhui Fan,Franco Nori,Carl M. Bender,Lan Yang +10 more
TL;DR: In this paper, it was shown that coupled optical microcavities bear all the hallmarks of parity-time symmetry; that is, the system dynamics are unchanged by both time-reversal and mirror transformations.
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Non-Hermitian physics and PT symmetry
Ramy El-Ganainy,Konstantinos G. Makris,Mercedeh Khajavikhan,Ziad H. Musslimani,Stefan Rotter,Demetrios N. Christodoulides +5 more
TL;DR: In this paper, the interplay between parity-time symmetry and non-Hermitian physics in optics, plasmonics and optomechanics has been explored both theoretically and experimentally.
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Parity–time synthetic photonic lattices
Alois Regensburger,Christoph Bersch,Mohammad-Ali Miri,Georgy Onishchukov,Demetrios N. Christodoulides,Ulf Peschel +5 more
TL;DR: The experimental observation of light transport in large-scale temporal lattices that are parity–time symmetric is reported and it is demonstrated that periodic structures respecting this symmetry can act as unidirectional invisible media when operated near their exceptional points.
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Wave-function approach to dissipative processes in quantum optics.
TL;DR: An alternative approach using a wave-function treatment to describe the atomic system and it is shown that this treatment is equivalent to the standard density matrix approach leading to the OBE's.