15 citations · 64 across the 14 of their papers we have counts for
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Converting non-Hermitian degeneracies of any order: Hierarchies of exceptional points and degeneracy manifolds
Grigory A. Starkov, Sharareh Sayyad
The emergence of various types of degeneracies plays a crucial role in optimizing and engineering different physical phenomena in non-Hermitian physics. In our work, we focus on th…
Characterizing all non-Hermitian degeneracies using algebraic approaches: Defectiveness and asymptotic behavior
Sharareh Sayyad, Grigory A. Starkov
The presence of degeneracies plays a crucial role in describing the behavior of non-Hermitian (NH) systems. In these systems, there are two key types of degeneracies: -bolical d…
Multi-block exceptional points in open quantum systems
Aysel Shiralieva, Grigory A. Starkov, Björn Trauzettel
Open quantum systems can be approximately described by non-Hermitian Hamiltonians (NHHs) and Liouvillian superoperators. The two approaches differ by quantum jump terms correspondi…
Interplay of pseudo-Hermitian symmetries and degenerate manifolds in the eigenspectrum of non-Hermitian systems
Grigory A. Starkov
In this letter, we study how the spectrum of pseudo-Hermitian systems is influenced by the ambiguity in the choice of the pseudo-metric operator. In particular, we analyze the case…
Schrieffer-Wolff transformation for non-Hermitian systems: application for -symmetric circuit QED
Grigory A. Starkov, Mikhail V. Fistul, Ilya M. Eremin
Combining non-hermiticity and interactions yields novel effects in open quantum many-body systems. Here, we develop the generalized Schrieffer-Wolff transformation and derive the e…
Formation of Exceptional Points in pseudo-Hermitian Systems
Grigory A. Starkov, Mikhail V. Fistul, Ilya M. Eremin
Motivated by the recent growing interest in the field of -symmetric Hamiltonian systems we theoretically study the emergency of singularities called Excepti…
Quantum phase transitions in non-Hermitian -symmetric transverse-field Ising spin chains
Grigory A. Starkov, Mikhail V. Fistoul, Ilya M. Eremin
We present a theoretical study of quantum phases and quantum phase transitions occurring in non-Hermitian -symmetric superconducting qubits chains described…