Domain wall dynamics in integrable and chaotic spin-1/2 chains

Lea F. Santos, Aditi Mitra

    Research output: Contribution to journalArticle

    Abstract

    We study the time evolution of correlation functions, spin current, and local magnetization in an isolated spin-1/2 chain initially prepared in a sharp domain wall state. The results are compared with the level of spatial delocalization of the eigenstates of the system which is measured using the inverse participation ratio. Both integrable and nonintegrable regimes are considered. Nonintegrability is introduced to the integrable Hamiltonian with nearest-neighbor couplings by adding a single-site impurity field or by adding next-nearest-neighbor couplings. A monotonic correspondence between the enhancement of the level of delocalization, spin current, and magnetization dynamics occurs in the integrable domain. This correspondence is, however, lost for chaotic models with weak Ising interactions.

    Original languageEnglish (US)
    Article number016206
    JournalPhysical Review E
    Volume84
    Issue number1
    DOIs
    StatePublished - Jul 11 2011

    Fingerprint

    Domain Wall
    domain wall
    Magnetization
    Nearest Neighbor
    Correspondence
    Non-integrability
    magnetization
    Impurities
    Ising
    Monotonic
    Correlation Function
    eigenvectors
    Enhancement
    impurities
    augmentation
    Interaction
    interactions
    Model

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Statistics and Probability

    Cite this

    Domain wall dynamics in integrable and chaotic spin-1/2 chains. / Santos, Lea F.; Mitra, Aditi.

    In: Physical Review E, Vol. 84, No. 1, 016206, 11.07.2011.

    Research output: Contribution to journalArticle

    Santos, Lea F. ; Mitra, Aditi. / Domain wall dynamics in integrable and chaotic spin-1/2 chains. In: Physical Review E. 2011 ; Vol. 84, No. 1.
    @article{4609a09f13e5405d8f519957d276fac5,
    title = "Domain wall dynamics in integrable and chaotic spin-1/2 chains",
    abstract = "We study the time evolution of correlation functions, spin current, and local magnetization in an isolated spin-1/2 chain initially prepared in a sharp domain wall state. The results are compared with the level of spatial delocalization of the eigenstates of the system which is measured using the inverse participation ratio. Both integrable and nonintegrable regimes are considered. Nonintegrability is introduced to the integrable Hamiltonian with nearest-neighbor couplings by adding a single-site impurity field or by adding next-nearest-neighbor couplings. A monotonic correspondence between the enhancement of the level of delocalization, spin current, and magnetization dynamics occurs in the integrable domain. This correspondence is, however, lost for chaotic models with weak Ising interactions.",
    author = "Santos, {Lea F.} and Aditi Mitra",
    year = "2011",
    month = "7",
    day = "11",
    doi = "10.1103/PhysRevE.84.016206",
    language = "English (US)",
    volume = "84",
    journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",
    issn = "1063-651X",
    publisher = "American Physical Society",
    number = "1",

    }

    TY - JOUR

    T1 - Domain wall dynamics in integrable and chaotic spin-1/2 chains

    AU - Santos, Lea F.

    AU - Mitra, Aditi

    PY - 2011/7/11

    Y1 - 2011/7/11

    N2 - We study the time evolution of correlation functions, spin current, and local magnetization in an isolated spin-1/2 chain initially prepared in a sharp domain wall state. The results are compared with the level of spatial delocalization of the eigenstates of the system which is measured using the inverse participation ratio. Both integrable and nonintegrable regimes are considered. Nonintegrability is introduced to the integrable Hamiltonian with nearest-neighbor couplings by adding a single-site impurity field or by adding next-nearest-neighbor couplings. A monotonic correspondence between the enhancement of the level of delocalization, spin current, and magnetization dynamics occurs in the integrable domain. This correspondence is, however, lost for chaotic models with weak Ising interactions.

    AB - We study the time evolution of correlation functions, spin current, and local magnetization in an isolated spin-1/2 chain initially prepared in a sharp domain wall state. The results are compared with the level of spatial delocalization of the eigenstates of the system which is measured using the inverse participation ratio. Both integrable and nonintegrable regimes are considered. Nonintegrability is introduced to the integrable Hamiltonian with nearest-neighbor couplings by adding a single-site impurity field or by adding next-nearest-neighbor couplings. A monotonic correspondence between the enhancement of the level of delocalization, spin current, and magnetization dynamics occurs in the integrable domain. This correspondence is, however, lost for chaotic models with weak Ising interactions.

    UR - http://www.scopus.com/inward/record.url?scp=79961125038&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=79961125038&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevE.84.016206

    DO - 10.1103/PhysRevE.84.016206

    M3 - Article

    VL - 84

    JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

    JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

    SN - 1063-651X

    IS - 1

    M1 - 016206

    ER -