Adiabatic Passage In An Acoustic Cavity System

As an effective method to deal with the evolution of the time-varying quantum system,the adiabatic approximation has been widely attracting researcher's attention.In particular,the stimulated Raman adiabatic passage has been used in atomic and molecular physics,solid-state physics,quantum information and precision experiments,since it robustness against small variations of interaction and intermediate radiative damping.In classical acoustics,as a way of communication,the sound is full of our daily life.As a carrier of energy,acoustic wave plays an irreplaceable role in science and technology,nation defense and so on.In this thesis,based on the quantum-classical analogy,we investigate the adiabatic passage in the acoustic cavity chain system by adjusting the coupling sequence and designing the level crossing.The main innovations of this thesis are as followsFirstly,we discuss the adiabatic passage in the acoustic two-cavity system.For a static two-cavity system,the sound energy of the system is transmitted in the form of the Bloch oscillation and the super-modes corresponding to the single cavity excitation and the eigenmodes excitation,respectively.For the time-varying identical two-cavity system,the adiabatic passage of the system is closely related to the coupling coefficient c(t)between cavities 1 and 2.For a time-varying two-cavity system with the single cavity resonance frequency difference ?,the sound energy in the system cannot be completely transferred from cavity 1 to cavity 2 by only adjusting the coupling coefficient c(t)When simultaneously changing the single cavity resonance frequencies ?1,(t)and ?2(t)of the cavities 1 and 2,we realize the complete transmission of the sound energy from cavity 1 to cavity 2 by designing the level crossingSecondly,we analyze the adiabatic passage of the acoustic three-cavity system.For a static three-cavity system,under the single cavity excitation,the sound energy of the system is transmitted between cavities through the complex oscillation.Under the eigenmodes excitation,the sound energy in the system is transmitted between cavities with fixed amplitude ratio and relative phase.For the time-varying identical three-cavity system,we realize the acoustic analogy of the stimulated Raman adiabatic passage by designing the Gauss-shaped coupling coefficients c12(t)and c23(t).When we reverse the excitation condition,the sound energy of the system performs the nonreciprocal transmission with the same counter-intuitive coupling sequence.For the three-cavity system with time-varying single cavity resonance frequencies ?1(t),?2(t)and ?3(t),we realize three types of nonreciprocal adiabatic passages in the acoustic system based on the level crossingFinally,we investigate the adiabatic passage of the acoustic multi-cavity chain system.When the system consists of odd-number cavities,the Hamiltonian of the system has a stable zero-value eigenenergy.We explore the adiabatic passage of the system along the zero-value eigenstates for three cases,i.e.,the random coupling sequence,SSH-model coupling sequence and splicing SSH-model coupling sequence.In the adiabatic approximation,the sound energy of the system is transferred from the first cavity to the last one along the zero-value eigenstates.It is noted that the adiabatic passage in the system are topologically protected for the SSH-model coupling sequence and the splicing SSH-model coupling sequence.In addition,the topological adiabatic passage of the splicing SSH cavity chain can be regarded as stimulated Raman adiabatic passage among three topologically protected states.