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Consistency of the adiabatic theorem and perturbation theory
adiabatic theorem perturbation theory Quantum Physics
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2011/10/9
Abstract: We present an analysis of the adiabatic approximation to understand when it applies, in view of the recent criticisms and studies for the validity of the adiabatic theorem. We point out that...
Adiabatic Theorem for Discrete Time Evolution
adiabatic theorem quantum map quantum circuit Quantum Physics
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2011/10/8
Abstract: A proof of the adiabatic theorem for quantum systems whose time evolution proceeds along discrete time, e.g., quantum maps and quantum circuits, is shown.
A sufficient condition for the validity of quantum adiabatic theorem
A sufficient condition validity quantum adiabatic theorem
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2010/10/29
In this paper, we attempt to give a sufficient condition of guaranteeing the validity of the proof of quantum adiabatic theorem. The new sufficient condition can clearly remove the inconsistency and c...
Review of inconsistency of quantum adiabatic theorem
Quantum adiabatic theorem Integral formalism Differential formalism
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2010/10/29
In this paper, we note that there are two different types of inconsistencies of quantum adiabatic theorem in work of K. P. Marzlin and B. C. Sanders [Phys. Rev. Lett. 93, 160408, 2004], MS inconsisten...