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2014•Chinese Journal of Quantum ElectronicsRequires access

Quantum adiabatic approximation condition and quantum geometric potential

YI Xue-hu

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Abstract

The quantum traditional adiabatic theorem was present and traditional approximation conditions were given.Based on existence of insufficence about quntum traditional adiabatic approximation condition,the new adiabatic theory and approximation condition were proposed and discussed by means of perturbative approach and U(1)-invariant expasion.The properties of quantum geometric potential contained in the new adiabatic condition were analyzed and discussed.

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What this paper is about

The quantum traditional adiabatic theorem was present and traditional approximation conditions were given.Based on existence of insufficence about quntum traditional adiabatic approximation condition,the new adiabatic theory and approximation condition were proposed and discussed by means of perturbative approach and U(1)-invariant expasion.The properties of quantum geometric potential contained in the new adiabatic condition were analyzed and discussed.

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Available abstract

The quantum traditional adiabatic theorem was present and traditional approximation conditions were given.Based on existence of insufficence about quntum traditional adiabatic approximation condition,the new adiabatic theory and approximation condition were proposed and discussed by means of perturbative approach and U(1)-invariant expasion.The properties of quantum geometric potential contained in the new adiabatic condition were analyzed and discussed.

Key concepts: Adiabatic process, Adiabatic invariant, Adiabatic theorem, Adiabatic quantum computation, Physics, Born–Huang approximation, Quantum, Quantum mechanics

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