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Open Quantum Systems Decoherence
Quantum Simulation
Dynamical invariant formalism of shortcuts to adiabaticity
arXiv
Authors: Kazutaka Takahashi
Year
2022
Paper ID
59460
Status
Preprint
Abstract Read
~2 min
Abstract Words
82
Citations
N/A
Abstract
We give a pedagogical introduction to dynamical invariant formalism of shortcuts to adiabaticity. For a given operator form of the Hamiltonian with undetermined coefficients, the dynamical invariant is introduced to design the coefficients. We discuss how the method allows us to realize adiabatic dynamics and describe a relation to the counterdiabatic formalism. The equation for the dynamical invariant takes a familiar form and is often used in various fields of physics. We introduce examples of Lax pair, quantum brachistochrone, and flow equation.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We give a pedagogical introduction to dynamical invariant formalism of shortcuts to adiabaticity.
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