Exactly solvable time-dependent models of two interacting two-level systems

R. Grimaudo, A. Messina, Hiromichi Nakazato

    Research output: Contribution to journalArticle

    11 Citations (Scopus)

    Abstract

    Two coupled two-level systems placed under external time-dependent magnetic fields are modeled by a general Hamiltonian endowed with a symmetry that enables us to reduce the total dynamics into two independent two-dimensional subdynamics. Each of the subdynamics is shown to be brought into an exactly solvable form by appropriately engineering the magnetic fields and thus we obtain an exact time evolution of the compound system. Several physically relevant and interesting quantities are evaluated exactly to disclose intriguing phenomena in such a system.

    Original languageEnglish
    Article number022108
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume94
    Issue number2
    DOIs
    Publication statusPublished - 2016 Aug 9

    Fingerprint

    magnetic fields
    engineering
    symmetry

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    Cite this

    Exactly solvable time-dependent models of two interacting two-level systems. / Grimaudo, R.; Messina, A.; Nakazato, Hiromichi.

    In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 94, No. 2, 022108, 09.08.2016.

    Research output: Contribution to journalArticle

    @article{dd14951f35514e91a833e4e614724af0,
    title = "Exactly solvable time-dependent models of two interacting two-level systems",
    abstract = "Two coupled two-level systems placed under external time-dependent magnetic fields are modeled by a general Hamiltonian endowed with a symmetry that enables us to reduce the total dynamics into two independent two-dimensional subdynamics. Each of the subdynamics is shown to be brought into an exactly solvable form by appropriately engineering the magnetic fields and thus we obtain an exact time evolution of the compound system. Several physically relevant and interesting quantities are evaluated exactly to disclose intriguing phenomena in such a system.",
    author = "R. Grimaudo and A. Messina and Hiromichi Nakazato",
    year = "2016",
    month = "8",
    day = "9",
    doi = "10.1103/PhysRevA.94.022108",
    language = "English",
    volume = "94",
    journal = "Physical Review A",
    issn = "2469-9926",
    publisher = "American Physical Society",
    number = "2",

    }

    TY - JOUR

    T1 - Exactly solvable time-dependent models of two interacting two-level systems

    AU - Grimaudo, R.

    AU - Messina, A.

    AU - Nakazato, Hiromichi

    PY - 2016/8/9

    Y1 - 2016/8/9

    N2 - Two coupled two-level systems placed under external time-dependent magnetic fields are modeled by a general Hamiltonian endowed with a symmetry that enables us to reduce the total dynamics into two independent two-dimensional subdynamics. Each of the subdynamics is shown to be brought into an exactly solvable form by appropriately engineering the magnetic fields and thus we obtain an exact time evolution of the compound system. Several physically relevant and interesting quantities are evaluated exactly to disclose intriguing phenomena in such a system.

    AB - Two coupled two-level systems placed under external time-dependent magnetic fields are modeled by a general Hamiltonian endowed with a symmetry that enables us to reduce the total dynamics into two independent two-dimensional subdynamics. Each of the subdynamics is shown to be brought into an exactly solvable form by appropriately engineering the magnetic fields and thus we obtain an exact time evolution of the compound system. Several physically relevant and interesting quantities are evaluated exactly to disclose intriguing phenomena in such a system.

    UR - http://www.scopus.com/inward/record.url?scp=84983396727&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84983396727&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevA.94.022108

    DO - 10.1103/PhysRevA.94.022108

    M3 - Article

    AN - SCOPUS:84983396727

    VL - 94

    JO - Physical Review A

    JF - Physical Review A

    SN - 2469-9926

    IS - 2

    M1 - 022108

    ER -