General solution of the time evolution of two interacting harmonic oscillators
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F21%3APU142025" target="_blank" >RIV/00216305:26620/21:PU142025 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/pra/abstract/10.1103/PhysRevA.103.023707" target="_blank" >https://journals.aps.org/pra/abstract/10.1103/PhysRevA.103.023707</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.103.023707" target="_blank" >10.1103/PhysRevA.103.023707</a>
Alternative languages
Result language
angličtina
Original language name
General solution of the time evolution of two interacting harmonic oscillators
Original language description
We study the time evolution of an ideal system composed of two harmonic oscillators coupled through a quadratic Hamiltonian with arbitrary interaction strength. We solve its dynamics analytically by employing tools from symplectic geometry. In particular, we use this result to completely characterize the dynamics of the two oscillators interacting in the ultrastrong-coupling regime with additional single-mode squeezing on both oscillators, as well as higher-order terms. Furthermore, we compute quantities of interest, such as the average number of excitations and the correlations that are established between the two subsystems due to the evolution. We find that this model predicts a second-order phase transition and we compute the critical exponents and the critical value. We also provide an exact decoupling of the time evolution in terms of simple quantum optical operations, which can be used for practical implementations and studies. Finally, we show how our techniques can be extended to include more oscillators and higher-order interactions.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10306 - Optics (including laser optics and quantum optics)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PHYSICAL REVIEW A
ISSN
2469-9926
e-ISSN
2469-9934
Volume of the periodical
103
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
„023707-1“-„023707-13“
UT code for WoS article
000617037900012
EID of the result in the Scopus database
2-s2.0-85101867763