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Quench dynamics of one dimensional multi-component quantum gases

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TitleInfo
Title
Quench dynamics of one dimensional multi-component quantum gases
Name (type = personal)
NamePart (type = family)
Guan
NamePart (type = given)
Huijie
NamePart (type = date)
1987-
DisplayForm
Huijie Guan
Role
RoleTerm (authority = RULIB)
author
Name (type = personal)
NamePart (type = family)
Andrei
NamePart (type = given)
Natan
DisplayForm
Natan Andrei
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
chair
Name (type = personal)
NamePart (type = family)
Podzorov
NamePart (type = given)
Vitaly
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Vitaly Podzorov
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Lukyanov
NamePart (type = given)
Sergei
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Sergei Lukyanov
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Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Pixeley
NamePart (type = given)
Jed
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Jed Pixeley
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Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Jerez
NamePart (type = given)
Andres
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Andres Jerez
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
outside member
Name (type = corporate)
NamePart
Rutgers University
Role
RoleTerm (authority = RULIB)
degree grantor
Name (type = corporate)
NamePart
School of Graduate Studies
Role
RoleTerm (authority = RULIB)
school
TypeOfResource
Text
Genre (authority = marcgt)
theses
OriginInfo
DateCreated (qualifier = exact)
2018
DateOther (qualifier = exact); (type = degree)
2018-05
CopyrightDate (encoding = w3cdtf); (qualifier = exact)
2018
Place
PlaceTerm (type = code)
xx
Language
LanguageTerm (authority = ISO639-2b); (type = code)
eng
Abstract (type = abstract)
This 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.
Subject (authority = RUETD)
Topic
Physics and Astronomy
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_8700
PhysicalDescription
Form (authority = gmd)
electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
1 online resource (x, 138 p. : ill.)
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Subject (authority = ETD-LCSH)
Topic
Gas dynamics
Note (type = statement of responsibility)
by Huijie Guan
RelatedItem (type = host)
TitleInfo
Title
School of Graduate Studies Electronic Theses and Dissertations
Identifier (type = local)
rucore10001600001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier (type = doi)
doi:10.7282/T3CR5XSG
Genre (authority = ExL-Esploro)
ETD doctoral
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Rights

RightsDeclaration (ID = rulibRdec0006)
The author owns the copyright to this work.
RightsHolder (type = personal)
Name
FamilyName
Guan
GivenName
Huijie
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2018-03-13 00:14:50
AssociatedEntity
Name
Huijie Guan
Role
Copyright holder
Affiliation
Rutgers University. School of Graduate Studies
AssociatedObject
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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Technical

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2018-03-13T13:15:32
DateCreated (point = end); (encoding = w3cdtf); (qualifier = exact)
2018-03-13T13:15:32
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