Projects per year
Abstract
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.
Original language | English |
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Article number | 023707 |
Number of pages | 13 |
Journal | Physical Review A |
Volume | 103 |
Issue number | 2 |
DOIs | |
Publication status | Published - 11 Feb 2021 |
MoE publication type | A1 Journal article-refereed |
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Dive into the research topics of 'General solution of the time evolution of two interacting harmonic oscillators'. Together they form a unique fingerprint.Projects
- 3 Finished
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-: Quantum-Enhanced Detection
Paraoanu, G.-S. (Principal investigator), Björkman, I. (Project Member), Sultanov, A. (Project Member) & McCord, J. (Project Member)
01/01/2020 → 31/12/2022
Project: Academy of Finland: Other research funding
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QUARTET: Quantum readout techniques and technologies
Paraoanu, G.-S. (Principal investigator), Khalifa, H. (Project Member) & Petrovnin, K. (Project Member)
15/10/2019 → 30/04/2023
Project: EU: Framework programmes funding
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Finnish Centre of Excellence in Quantum Technology
Paraoanu, G.-S. (Principal investigator), Dogra, S. (Project Member), Petrovnin, K. (Project Member), Lan, D. (Project Member), McCord, J. (Project Member) & Cattaneo, M. (Project Member)
01/01/2018 → 31/12/2020
Project: Academy of Finland: Other research funding