Entanglement dynamics of a nano-mechanical resonator coupled to a central qubit

• Published in: Quantum information processing Vol. 21; no. 2
• Main Authors: Dehghani, A., Mojaveri, B., Aryaie, M.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.02.2022; Springer Nature B.V
• Subjects: Compressing; Damping; Data Structures and Information Theory; Eigenvectors; Mathematical Physics; Parity; Physics; Physics and Astronomy; Quantum Computing; Quantum entanglement; Quantum Information Technology; Quantum Physics; Quantum theory; Qubits (quantum computing); Resonators; Spintronics; Classical correlation; Phase-damping channel; Spin-resonator; Quantum correlation; Wigner function; Entropic squeezing; Mechanical squeezing; Entanglement; Amplitude-damping channel
• ISSN: 1570-0755; 1573-1332
• DOI: 10.1007/s11128-021-03372-x

We introduce a unitary operator which may be constructed conveniently by exploiting the properties of the Glauber displacement and parity operators. We show that it can be considered as a constant of motion of a quantum system including pure dephasing interaction of a central qubit with a nano-mechanical resonator. Using the eigenvectors of the Glauber displacement operator, we paves a way for an extensive study of the dynamics of resonator-qubit states. In addition, we show that the establishment of such a constant of motion, which includes the parity operator, provides a way to introduce a capable mechanical framework to generate some desired mechanical state as superposition of the Glauber coherent states. We investigate nonclassical properties of the generated mechanical states, by evaluating mechanical-squeezing, Wigner function, position–momentum entropic squeezing, and entanglement between spin-mechanical modes. Furthermore, the pairwise classical and quantum correlations are derived based on a necessary and sufficient condition for the zero-discord state. Finally, in order to study the mechanical state’s behavior in an environment, we consider that the output state is subject to amplitude (phase)-damping channels and their dissipative properties are analyzed.