Time-evolution of nonlinear optomechanical systems: interplay of mechanical squeezing and non-Gaussianity

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F20%3APU139670" target="_blank" >RIV/00216305:26620/20:PU139670 - isvavai.cz</a>

Result on the web

<a href="https://iopscience.iop.org/article/10.1088/1751-8121/ab64d5" target="_blank" >https://iopscience.iop.org/article/10.1088/1751-8121/ab64d5</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1751-8121/ab64d5" target="_blank" >10.1088/1751-8121/ab64d5</a>

Result language

angličtina

Original language name

Time-evolution of nonlinear optomechanical systems: interplay of mechanical squeezing and non-Gaussianity

Original language description

We solve the time evolution of a nonlinear optomechanical Hamiltonian with arbitrary time-dependent mechanical displacement, mechanical single-mode squeezing and a time-dependent optomechanical coupling up to the solution of two second-order differential equations. The solution is based on identifying a minimal and finite Lie algebra that generates the time-evolution of the system. This reduces the problem to considering a finite set of coupled ordinary differential equations of real functions. To demonstrate the applicability of our method, we compute the degree of non-Gaussianity of the time-evolved state of the system by means of a measure based on the relative entropy of the non-Gaussian state and its closest Gaussian reference state. We find that the addition of a constant mechanical squeezing term to the standard optomechanical Hamiltonian generally decreases the overall non-Gaussian character of the state. For sinusoidally modulated squeezing, the two second-order differential equations mentioned above take the form of the Mathieu equation. We derive perturbative solutions for a small squeezing amplitude at parametric resonance and show that they correspond to the rotating-wave approximation at times larger than the scale set by the mechanical frequency. We find that the non-Gaussianity of the state increases with both time and the squeezing parameter in this specific regime.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10302 - Condensed matter physics (including formerly solid state physics, supercond.)

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)

Publication year

2020

Confidentiality

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

Name of the periodical

Journal of Physics A-Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

1751-8121

Volume of the periodical

53

Issue of the periodical within the volume

7

Country of publishing house

GB - UNITED KINGDOM

Number of pages

40

Pages from-to

„075304-1“-„075304-40“

UT code for WoS article

000520153400001

EID of the result in the Scopus database

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