Quantum metric and wave packets at exceptional points in non-Hermitian systems
نویسندگان
چکیده
Topological physics is based on topological invariants such as the Chern number, which integral of Berry curvature. The quantum metric complementary to curvature in geometric tensor, but its role much less understood. authors show here that it becomes dominant for wave-packet dynamics at exceptional points strongly non-Hermitian systems. demonstrate that, thanks divergent metric, wave packets (e.g., light beams) exhibit nonvanishing velocity with controllable direction.
منابع مشابه
Hermitian metric on quantum spheres
The paper deal with non-commutative geometry. The notion of quantumspheres was introduced by podles. Here we define the quantum hermitianmetric on the quantum spaces and find it for the quantum spheres.
متن کاملNon-dispersive wave packets in periodically driven quantum systems
With the exception of the harmonic oscillator, quantum wave-packets usually spread as time evolves. This is due to the non-linear character of the classical equations of motion which makes the various components of the wave-packet evolve at various frequencies. We show here that, using the nonlinear resonance between an internal frequency of a system and an external periodic driving, it is poss...
متن کاملhermitian metric on quantum spheres
the paper deal with non-commutative geometry. the notion of quantumspheres was introduced by podles. here we define the quantum hermitianmetric on the quantum spaces and find it for the quantum spheres.
متن کاملCollectivity, Phase Transitions and Exceptional Points in Open Quantum Systems
Phase transitions in open quantum systems, which are associated with the formation of collective states of a large width and of trapped states with rather small widths, are related to exceptional points of the Hamiltonian. Exceptional points are the singularities of the spectrum and eigenfunctions, when they are considered as functions of a coupling parameter. In the present paper this paramete...
متن کاملChiral Modes at Exceptional Points in Exciton-Polariton Quantum Fluids.
We demonstrate the generation of chiral modes-vortex flows with fixed handedness in exciton-polariton quantum fluids. The chiral modes arise in the vicinity of exceptional points (non-Hermitian spectral degeneracies) in an optically induced resonator for exciton polaritons. In particular, a vortex is generated by driving two dipole modes of the non-Hermitian ring resonator into degeneracy. Tran...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2021
ISSN: ['1098-0121', '1550-235X', '1538-4489']
DOI: https://doi.org/10.1103/physrevb.103.125302