Details
| Original language | English |
|---|---|
| Article number | 175304 |
| Number of pages | 55 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 58 |
| Issue number | 17 |
| Publication status | Published - 28 Apr 2025 |
Abstract
In this work we study the validity of the rotating wave approximation of an ideal system composed of two harmonic oscillators evolving with a quadratic Hamiltonian and arbitrarily strong interaction. We prove its validity for arbitrary states by bounding the error introduced. We then restrict ourselves to the dynamics of Gaussian states and are able to fully quantify the deviation of arbitrary pure Gaussian states that evolve through different dynamics from a common quantum state. We show that this distance is fully determined by the first and second moments of the statistical distribution of the number of excitations created from the vacuum during an appropriate effective time-evolution. We use these results to completely control the dynamics for this class of states, therefore providing a toolbox to be used in quantum optics and quantum information. Applications and potential physical implementations are also discussed.
Keywords
- quantum dynamics, quantum harmonic oscillators, quantum optics, rotating wave approximation
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Statistics and Probability
- Mathematics(all)
- Modelling and Simulation
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Journal of Physics A: Mathematical and Theoretical, Vol. 58, No. 17, 175304, 28.04.2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Bounding the rotating wave approximation for coupled harmonic oscillators
AU - Heib, Tim
AU - Lageyre, Paul
AU - Ferreri, Alessandro
AU - Wilhelm, Frank K.
AU - Paraoanu, G. S.
AU - Burgarth, Daniel
AU - Schell, Andreas W.
AU - Edward Bruschi, David
N1 - Publisher Copyright: © 2025 The Author(s). Published by IOP Publishing Ltd.
PY - 2025/4/28
Y1 - 2025/4/28
N2 - In this work we study the validity of the rotating wave approximation of an ideal system composed of two harmonic oscillators evolving with a quadratic Hamiltonian and arbitrarily strong interaction. We prove its validity for arbitrary states by bounding the error introduced. We then restrict ourselves to the dynamics of Gaussian states and are able to fully quantify the deviation of arbitrary pure Gaussian states that evolve through different dynamics from a common quantum state. We show that this distance is fully determined by the first and second moments of the statistical distribution of the number of excitations created from the vacuum during an appropriate effective time-evolution. We use these results to completely control the dynamics for this class of states, therefore providing a toolbox to be used in quantum optics and quantum information. Applications and potential physical implementations are also discussed.
AB - In this work we study the validity of the rotating wave approximation of an ideal system composed of two harmonic oscillators evolving with a quadratic Hamiltonian and arbitrarily strong interaction. We prove its validity for arbitrary states by bounding the error introduced. We then restrict ourselves to the dynamics of Gaussian states and are able to fully quantify the deviation of arbitrary pure Gaussian states that evolve through different dynamics from a common quantum state. We show that this distance is fully determined by the first and second moments of the statistical distribution of the number of excitations created from the vacuum during an appropriate effective time-evolution. We use these results to completely control the dynamics for this class of states, therefore providing a toolbox to be used in quantum optics and quantum information. Applications and potential physical implementations are also discussed.
KW - quantum dynamics
KW - quantum harmonic oscillators
KW - quantum optics
KW - rotating wave approximation
UR - http://www.scopus.com/inward/record.url?scp=105003920100&partnerID=8YFLogxK
U2 - 10.1088/1751-8121/adcd16
DO - 10.1088/1751-8121/adcd16
M3 - Article
AN - SCOPUS:105003920100
VL - 58
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 17
M1 - 175304
ER -