Stability of resonator vacuum state
This protocol is extracted from research article:
Qubit parity measurement by parametric driving in circuit QED
Sci Adv, Nov 30, 2018; DOI: 10.1126/sciadv.aau1695

When parametrically driven on resonance, the classical equations of motion for the field quadratures of the nonlinear resonator x = 〈â + â〉/2 and y = − iââ〉/2 are given byEmbedded Image(7)Embedded Image(8)

Computing the eigenvalues of the evolution matrix linearized around vacuum (x, y) = (0, 0), we obtained λ± = ± Embedded Image − κ/2. Small fluctuations around vacuum will thus make the system leave this unstable point on a time scale given by Embedded Image.

Note: The content above has been extracted from a research article, so it may not display correctly.

Please log in to submit your questions online.
Your question will be posted on the Bio-101 website. We will send your questions to the authors of this protocol and Bio-protocol community members who are experienced with this method. you will be informed using the email address associated with your Bio-protocol account.

We use cookies on this site to enhance your user experience. By using our website, you are agreeing to allow the storage of cookies on your computer.