Virtual excitations and entanglement dynamics and polygamy in three ultra-strongly coupled systems
arXiv:2209.14814 · doi:10.1002/andp.202200527
Abstract
The Milburn dynamics of three nonresonant ultra-strongly coupled oscillators are resolved by using symplectic geometry. We look at the Milburn dynamics of virtual excitations and how they affect pairwise entanglement. It is found that the dynamics of excitations and entanglement experience similar profiles against time, physical parameters, and decoherence rate. Furthermore, we show that the extinction of excitations entails separability, which demonstrates the hierarchy between entanglement and virtual excitations. Additionally, we analyze the effects of physical parameters on the redistribution of virtual excitations among the three bi-partitions. As a result, we show the violation of the monogamy of excitations as in quantum discord. This implies that excitations can be considered as signatures of quantum correlations beyond entanglement. Besides, we emphasize that our treatment can be used to model coupled quantum circuits in real situations (with decoherence).
arXiv comment13 pages, 7 figures. Clarifications and references added. Version to appear in Ann. Phys. (Berlin)
References in corpus (34)
- Distributed Entanglement
- Ultrastrong coupling between light and matter
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Ultrastrong coupling regimes of light-matter interaction
- Observation of the Dynamical Casimir Effect in a Superconducting Circuit
- Continuous variable quantum information: Gaussian states and beyond
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Extremal entanglement and mixedness in continuous variable systems
- Photon Blockade in the Ultrastrong Coupling Regime
- Coupled quantized mechanical oscillators
- The dynamical Casimir effect in a superconducting coplanar waveguide
- Light-matter decoupling in the deep strong coupling regime: The breakdown of the Purcell effect
- Towards mechanical entanglement in nano-electromechanical devices
- Separability Properties of Three-mode Gaussian States
- A Single Photon Can Simultaneously Excite Two or More Atoms
- Are general quantum correlations monogamous?
- Genuine quantum correlations in quantum many-body systems: a review of recent progress
- Monogamy of quantum correlations - a review
- Monogamy properties of quantum and classical correlations
- Fate of photon blockade in the deep strong coupling regime
- Interaction of Mechanical Oscillators Mediated by the Exchange of Virtual Photon Pairs
- Zeno physics in ultrastrong circuit QED
- Avoiding dissipation in a system of three quantum harmonic oscillators
- Lorentz invariant intrinsic decoherence
- Entanglement, coherence, and redistribution of quantum resources in double spontaneous downconversion processes
- "Mechano-optics": An optomechanical quantum simulator
- General solution of the time evolution of two interacting harmonic oscillators
- Quantum entanglement maintained by virtual excitations in an ultrastrongly-coupled-oscillator system
- Time evolution of coupled multimode and multiresonator optomechanical systems
- Entanglement in Three Coupled Harmonic Oscillators
- Monogamy of quantum entanglement
- Dynamics and Redistribution of Entanglement and Coherence in Three Time-Dependent Coupled Harmonic Oscillators
- Intrinsic decoherence for the displaced harmonic oscillator
- Virtual excitations and quantum correlations in ultra-strongly coupled harmonic oscillators under intrinsic decoherence