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Eigenstates Transition without Undergoing an Adiabatic Process.

Fatemeh Mostafavi1, Luqi Yuan2, Hamidreza Ramezani1

  • 1Department of Physics and Astronomy, University of Texas Rio Grande Valley, Brownsville, Texas 78520, USA.

Physical Review Letters
|March 2, 2019
PubMed
Summary
This summary is machine-generated.

We developed non-Hermitian Hamiltonians for a dynamical approach to a shortcut to adiabaticity (DASA). This method achieves adiabatic outcomes via diabatic processes with simpler forms and lower thermodynamic costs.

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Area of Science:

  • Quantum mechanics
  • Non-Hermitian Hamiltonians
  • Adiabatic dynamics

Background:

  • Adiabatic processes are crucial in quantum mechanics but often slow.
  • Shortcuts to adiabaticity aim to speed up these processes.
  • Existing methods can be complex and thermodynamically costly.

Purpose of the Study:

  • Introduce a novel class of non-Hermitian Hamiltonians.
  • Develop a dynamical approach to a shortcut to adiabaticity (DASA).
  • Achieve adiabatic outcomes through simpler, diabatic processes.

Main Methods:

  • Utilized 2x2 non-Hermitian Hamiltonians with specific real and complex eigenvalues.
  • Engineered eigenvalue properties to control population decay and amplification.
  • Demonstrated extension of DASA to higher dimensions.

Main Results:

  • Achieved exponential decay of population in undesired states.
  • Maintained conserved probability amplitude in desired states.
  • Showcased simpler Hamiltonian forms with reduced thermodynamic cost compared to standard methods.

Conclusions:

  • The proposed non-Hermitian Hamiltonians provide an efficient DASA.
  • This approach enables diabatic processes with adiabatic outcomes.
  • Applications extend to tunable mode selection and filtering in various physical systems.