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26 April 2024 |
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Observation of Geometric Phase in a Molecular Aharonov-Bohm System Using IBM Quantum Computer | | Gaurav Rudra Malik
; Sushree Swateeprajnya Behera
; Shubham Kumar
; Bikash K. Behera
; Prasanta K. Panigrahi
; | | Date: |
1 Sep 2019 | | Abstract: | The evolution of a quantum system is governed by the associated Hamiltonian.
A system defined by a parameter-dependent Hamiltonian acquires a geometric
phase when adiabatically evolved. Such an adiabatic evolution of a system
having non-degenerate quantum states gives the well-studied Berry phase.
Lounguet-Higgins and co-workers discovered a geometric phase when considering
the Jahn-Teller distortion described by the nuclear coordinates traversing a
closed path about the point of intersection of the electronic potential energy
surfaces. Under such a condition, the Born-Oppenheimer wave function undergoes
a sign change corresponding to an introduced global phase of $pi$ radian. This
change further introduces a multiple valuedness in the wavefunction which may
be removed by adding a vector potential like term in the Hamiltonian for the
nuclear motion giving the Molecular Aharonov Bohm effect. Here, we demonstrate
a scheme to evaluate the introduced global phase for the molecular system
considered by Longuet-Higgins and propose methods as the first principle to do
the same in more complex examples for the molecular Hamiltonian on a quantum
computer. | | Source: | arXiv, 1909.0298 | | Services: | Forum | Review | PDF | Favorites | |
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