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Quench dynamics of one dimensional multi-component quantum gases
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Guan, Huijie. Quench dynamics of one dimensional multi-component quantum gases. Retrieved from https://doi.org/doi:10.7282/T3CR5XSG

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TitleQuench dynamics of one dimensional multi-component quantum gases
NameGuan, Huijie (author); Andrei, Natan (chair); Podzorov, Vitaly (internal member); Lukyanov, Sergei (internal member); Pixeley, Jed (internal member); Jerez, Andres (outside member); Rutgers University; School of Graduate Studies
Date Created2018
Other Date2018-05 (degree)
SubjectPhysics and Astronomy, Gas dynamics
Extent1 online resource (x, 138 p. : ill.)
DescriptionThis thesis studies the quench dynamics of strongly correlated quantum systems described by one dimensional integrable Hamiltonians. We develop the Yudson approach for such systems in terms of contour integrals allowing the expansion of arbitrary states in terms of the Bethe Ansatz eigenstates which in turn provides the means to calculate the time evolution of such observables as densities or noise correlations from any initial states. As a motivation to the present work, I present the state of art ultracold atom techniques and fundamental questions related to the quench dynamics. Then various Bethe ansatz solutions are discussed. This is followed by an introduction to the Yudson approach where advantages and difficulties are listed. As applications of the Yudson approach, I studied the nonequilibrium dynamics of the Lieb-Liniger model,(bosonic) Gaudin-Yang model, quenched from a Mott state with a super fluid Hamiltonian. Integration contours are specified for various models and different interactions. It is shown that the Yudson approach incorporates all free states and bound states into the contour, separating them apart sheds light on the validity of the String hypothesis. The result is affirmative for Lieb-Linger model, but not for the Gaudin-Yang model. Our calculations for the density and correlation shows that for interacting system, if the pre-quench state has negligible overlap among the particles, the system retains this feature after the quench. Particularly, normalized noise function c(z; -z) at the origin shows different stages. Shortly after the quench, the sign are different for attractive and repulsive interaction. Then they both quickly approaches the value where possibility to find both particles equals zero. Then the value increases gradually for attractive models, while c(0; 0) remains small for repulsive systems.
NotePh.D.
NoteIncludes bibliographical references
Noteby Huijie Guan
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T3CR5XSG
Languageeng
CollectionSchool of Graduate Studies Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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