Dynamics and Redistribution of Entanglement and Coherence in Three Time-Dependent Coupled Harmonic Oscillators
arXiv:2007.14746 · doi:10.1142/S0219887821501206
Abstract
We study the dynamics and redistribution of entanglement and coherence in three time-dependent coupled harmonic oscillators. We resolve the Schrödinger equation by using time-dependent Euler rotation together with a linear quench model to obtain the state of vacuum solution. Such state can be translated to the phase space picture to determine the Wigner distribution. We show that its Gaussian matrix can be used to directly cast the covariance matrix . To quantify the mixedness and entanglement of the state one uses respectively linear and von Neumann entropies for three cases: fully symmetric, bi-symmetric and fully non symmetric. Then we determine the coherence, tripartite entanglement and local uncertainties and derive their dynamics. We show that the dynamics of all quantum information quantities are driven by the Ermakov modes. Finally, we use an homodyne detection to redistribute both resources of entanglement and coherence.
arXiv comment24 pages, 11 figures. Clarifications and references added. Version to appear in IJGMMP
References in corpus (19)
- Quantum Coherence as a Resource
- Atom Interferometers
- Continuous variable quantum information: Gaussian states and beyond
- Fast optimal frictionless atom cooling in harmonic traps
- Entanglement Certification From Theory to Experiment
- Multipartite entanglement in three-mode Gaussian states of continuous variable systems: Quantification, sharing structure and decoherence
- Separability Properties of Three-mode Gaussian States
- Quantifying coherence of Gaussian states
- Continuous-variable entropic uncertainty relations
- Ion-laser interactions: The most complete solution
- Avoiding dissipation in a system of three quantum harmonic oscillators
- Covariance matrices under Bell-like detections
- Entanglement, coherence, and redistribution of quantum resources in double spontaneous downconversion processes
- An alternative approach to exact wave functions for time-dependent coupled oscillator model of charged particle in variable magnetic field
- Entanglement dynamics following a sudden quench: an exact solution
- Two Cold Atoms in a Time-Dependent Harmonic Trap in One Dimension
- Quantum entanglement maintained by virtual excitations in an ultrastrongly-coupled-oscillator system
- Entanglement in Three Coupled Harmonic Oscillators
- Generation of Coherence via Gaussian Measurements