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Time evolution of two harmonic oscillators with cross-Kerr interactions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F20%3APU139668" target="_blank" >RIV/00216305:26620/20:PU139668 - isvavai.cz</a>

  • Result on the web

    <a href="https://aip.scitation.org/doi/10.1063/1.5121397" target="_blank" >https://aip.scitation.org/doi/10.1063/1.5121397</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/1.5121397" target="_blank" >10.1063/1.5121397</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Time evolution of two harmonic oscillators with cross-Kerr interactions

  • Original language description

    We study the time evolution of two coupled quantum harmonic oscillators interacting through nonlinear optomechanical-like Hamiltonians that include cross-Kerr interactions. We employ techniques developed to decouple the time-evolution operator and obtain the analytical solution for the time evolution of the system. We apply these results to obtain explicit expressions of a few quantities of interest. Our results do not require approximations and therefore allow us to study the nature and implications of the full nonlinearity of the system. As a potential application, we show that it is possible to greatly increase the population of phonons using a suitable combination of cubic and cross-Kerr interactions.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/LM2015041" target="_blank" >LM2015041: CEITEC Nano</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    JOURNAL OF MATHEMATICAL PHYSICS

  • ISSN

    0022-2488

  • e-ISSN

    1089-7658

  • Volume of the periodical

    61

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    13

  • Pages from-to

    „032102-1“-„032102-13“

  • UT code for WoS article

    000519102500002

  • EID of the result in the Scopus database

    2-s2.0-85081206672