Spin-Bath Dynamics in a Quantum Resonator-Qubit System: Effect of a Mechanical Resonator Coupled to a Central Qubit
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Spin-Bath Dynamics in a Quantum Resonator-Qubit System: Effect of a Mechanical Resonator Coupled to a Central Qubit A. Dehghani1
· B. Mojaveri2 · M. Vaez2
Received: 27 February 2020 / Accepted: 3 August 2020 / Published online: 30 September 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract In line with an experimentally feasible protocol was proposed by A. Asadian et al. [ PRL 112, 190402 (2014)], we introduce a pure dephasing model where the interaction of the central qubit with a nano-mechanical resonator is affected by a spin-bath to study the dynamics of resonator-qubit entangled states. We show that how system-bath coupling as well as the coupling among the bath’s spins, initial semi-classical states of the phonon as well as the initial states of the bath, modify the entanglement of the system using measures like concurrence. To gain insight into the effect of these correlations, we study the dynamics of the mentioned setup both with and without initial correlations for arbitrary system-environment coupling strengths. It is also shown that stable entanglement, which is dependent on correlated initial states of the system-bath, their coupling strength, and bath temperature, occurs even in the presence of decoherence. Keywords Quantum correlation · Entanglement · Spin bath · Open systems · (Non-)Markovian dynamics
1 Introduction In recent years, studying and implementing of quantum optics processes has been attracting much interest to generate various types of optomechanical states by using many proposals [1–7]. An optomechanical system consists of two optical and mechanical components.
A. Dehghani
[email protected]; [email protected] B. Mojaveri [email protected] M. Vaez [email protected] 1
Department of Physics, Payame Noor University, P.O.Box 19395-3697 Tehran, Iran
2
Department of Physics, Azarbaijan Shahid Madani University, PO Box 51745-406, Tabriz, Iran
3108
International Journal of Theoretical Physics (2020) 59:3107–3123
The simplest form of an optomechanical system is an optical cavity with a movable mirror at one of its ends [8] which is called generally the cavity optomechanics. The vibrational motion of a moveable mirror, as the mechanical component of an optomechanical system, can be described by a phononic degree of freedom, while the optical photonic part of the optomechanical cavity can be considered as a quantized field (photon) propagates in the cavity. In this area of research, the coupling between optical modes and mechanical oscillations offers remarkable applications for optomechanical systems, ranging from the cooling of mechanical oscillations [9–11] to entangling between mechanical modes and microwave photons [12], up to photon-photon interactions [13] and photon blockade [14, 15]. The nature of observed and investigated phenomena in optomechanical systems can be understood in the effect of radiation pressure on mechanical motions, both from theoretical and experimental points of view [1–4, 12, 16–21]. Radiation pressure int
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