Eigenstates Transition without Undergoing an Adiabatic Process

Fatemeh Mostafavi, Luqi Yuan, and Hamidreza Ramezani
Phys. Rev. Lett. 122, 050404 – Published 8 February 2019
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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.

  • Figure
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  • Received 2 April 2018

DOI:https://doi.org/10.1103/PhysRevLett.122.050404

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalGeneral Physics

Authors & Affiliations

Fatemeh Mostafavi1, Luqi Yuan2, and Hamidreza Ramezani1,*

  • 1Department of Physics and Astronomy, University of Texas Rio Grande Valley, Brownsville, Texas 78520, USA
  • 2School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China

  • *hamidreza.ramezani@utrgv.edu

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Issue

Vol. 122, Iss. 5 — 8 February 2019

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