47 citations · 309 across the 23 of their papers we have counts for
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The Non-Hermitian quantum mechanics and its canonical structure
Qi Zhang
The non-Hermitian Schrödinger equation is re-expressed generally in the form of Hamilton's canonical equation without any approximation. Its quantization called non-Hermitian quant…
Monopoles in non-Hermitian systems
Qi Zhang, Biao Wu
The monopole for the geometric curvature is studied for non-Hermitian systems. We find that the monopole contains not only the exceptional points but also branch cuts. As the mathe…
Non-Hermitian quantum systems and their geometric phases
Qi Zhang, Biao Wu
We discuss the basic theoretical framework for non-Hermitian quantum systems with particular emphasis on the diagonalizability of non-Hermitian Hamiltonians and their $GL(1,\mathbb…
Lorentz quantum mechanics
Qi Zhang, Biao Wu
We present a theoretical framework called Lorentz quantum mechanics, where the dynamics of a system is a complex Lorentz transformation in complex Minkowski space. In contrast, in…
Quantum adiabatic evolution with energy-degeneracy levels
Qi Zhang
A classical-kind phase-space formalism is developed to address the tiny intrinsic dynamical deviation from what is predicted by Wilczek-Zee theorem during quantum adiabatic evoluti…
Perfect Zitterbewegung oscillations in the Kitaev chain system
Qi Zhang, Jiangbin Gong
Superconducting systems such as those modeled by the Kitaev Hamiltonian are found to exhibit the Zitterbewegung (ZB) oscillations. Remarkably, the dispersion relation in one-dimens…