Abstract
We theoretically exploit the shortcuts to adiabaticity (STA) technique in Hermitian and non-Hermitian quantum systems to realize the maximum coherence and beam splitting by eliminating the nonadiabatic coupling. Compared with the conventional adiabatic passage (AP) technique with the Gaussian and Allen-Eberly schemes, the operation time can be significantly shortened by three order using STA technique. This STA-based fast creation of maximum coherence or beam splitting are in use ranging from quantum sensing and metrology in a noisy environment to optical gain/loss coupled waveguides in an analogous fashion.
Highlights
Preparation and transfer of maximum coherent quantum states are requisite in the applications of quantum measurements and sensing
In this paper, we have presented the fast creation of maximum coherence and beam splitting via shortcuts to adiabaticity technique in Hermitian and non-Hermitian systems
In a Hermitian system, one achieved a fast adiabatic creation of maximum coherence and beam splitting by introducing an additional counterdiabatic term to eliminate the nonadiabatic coupling in evolution
Summary
Preparation and transfer of maximum coherent quantum states are requisite in the applications of quantum measurements and sensing. The beam splitting is very useful in optical waveguides and coherent quantum state preparation, especially in quantum sensing and metrology. By exploiting the fast shortcuts population transfer in a non-Hermitian Hamiltonian system, one can overcome some decoherence processes and achieve a perfect quantum state preparation. The creation of maximum coherence and beam splitting based on counterdiabatic driving or non-Hermitian STA is faster than that based on AP. The counterdiabatic driving cost more coupling to speed up adiabatic evolution, while nonHermitian STA modulates non-Hermitian terms without increasing coupling. The theoretical description of the counterdiabatic driving creation of maximum coherence and beam splitting in the Hermitian system is given. Creation of maximum coherence and beam splitting of STA in a non-Hermitian system is described in detail and the physical implementation is considered in optical waveguides systems.
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