A measure for adiabatic contributions to quantum transitions

Abstract

We construct a measure for the adiabatic contribution to quantum transitions in an arbitrary basis, tackling the generic complex case where dynamics is only partially adiabatic, simultaneously populates several eigenstates and transitions between non-eigenstates are of key interest. Our measure is designed to distinguish transitions between basis states that occur due to the adiabatic change of the underlying populated eigenstates from transitions that occur due to beating between several such eigenstates. We demonstrate that the measure can be applied to material or molecular simulations using time-dependent density functional theory, allowing to quantify the relative importance of adiabaticity and thus nuclear motion, for example, in charge or energy transfer.

arXiv comment11 pages, 9 figures

References in corpus (26)

• Quantifying Coherence
• Quantifying Entanglement
• Adiabatic Quantum Computing
• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Quantum Resource Theories
• Stimulated Raman adiabatic passage in physics, chemistry and beyond
• Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport
• Photonics meets excitonics: natural and artificial molecular aggregates
• Non-classicality of the molecular vibrations assisting exciton energy transfer at room temperature
• Adiabatic Quantum Computation in Open Systems
• Inconsistency in the application of the adiabatic theorem
• Experimental implementation of an adiabatic quantum optimization algorithm
• Newton's cradle and entanglement transport in a flexible Rydberg chain
• Efficient quantum state transfer in spin chains via adiabatic passage
• Arbitrary state controlled-unitary gate by adiabatic passage
• Vibration-enhanced quantum transport
• Universal adiabatic quantum computation via the space-time circuit-to-Hamiltonian construction
• Motional effects on the efficiency of excitation transfer
• Adiabatic entanglement transport in Rydberg aggregates
• Exciton localization in tubular molecular aggregates: size effects and optical response
• Efficient long-distance energy transport in molecular systems through adiabatic passage
• Robust Multiple-Range Coherent Quantum State Transfer
• Long-range adiabatic quantum state transfer through a tight-binding chain as a quantum data bus
• Excitation Transport in Molecular Aggregates with thermal motion
• Directed excitation transfer in vibrating chains by external fields
• Effects of oscillatory deformations on the coherent and incoherent quantum transport