Document Type
Article
Publication Date
2019
Abstract
We introduce a class of non-Hermitian Hamiltonians that offers a dynamical approach to a shortcut to adiabaticity (DASA). In particular, in our proposed 2 × 2 Hamiltonians, one eigenvalue is absolutely real and the other one is complex. This specific form of eigenvalues helps us to exponentially decay the population in an undesired eigenfunction or amplify the population in the desired state while keeping the probability amplitude in the other eigenfunction conserved. This provides us with a powerful method to have a diabatic process with the same outcome as its corresponding adiabatic process. In contrast to standard shortcuts to adiabaticity, our Hamiltonians have a much simpler form with a lower thermodynamic cost. Furthermore, we show that DASA can be extended to higher dimensions using the parameters associated with our 2 × 2 Hamiltonians. Our proposed Hamiltonians not only have application in DASA but also can be used for tunable mode selection and filtering in acoustics, electronics, and optics.
Recommended Citation
Mostafavi, Fatemeh, et al. “Eigenstates Transition without Undergoing an Adiabatic Process.” Physical Review Letters, vol. 122, no. 5, American Physical Society, Feb. 2019, p. 050404, https://doi.org/10.1103/PhysRevLett.122.050404
Publication Title
Physical Review Letters
DOI
10.1103/PhysRevLett.122.050404
Comments
© 2019 American Physical Society. Original published version available at https://doi.org/10.1103/PhysRevLett.122.050404