چكيده لاتين
In recent years, collective spin excitations in ferromagnetic materials have received widespread attention, as carriers of information for realizing quantum computing protocols. In other words, quantum systems based on collective spin excitations, magnons, have provided a new platform in quantum information and quantum technology, including electromagnonics, optomagnonics, and magnomechanics systems.
On the other hand, levitated objects have opened up new avenues for studying weak force sensing, dark matter detection, and quantum gravitational measurement. Additionally, levitated systems are a suitable candidate for investigating non-equilibrium physics and have diverse applications in the precise detection and sensing of physical quantities. Motivated by the unique characteristics of hybrid magnonic systems and the advancement of levitated methods, in this thesis, we suppose a cavity-magnomechanical system, including a levitated sphere, and study two important quantum phenomena: magnomechanically induced transparency (MIT) and entanglement between internal and external degrees of freedom.
In first step, we give a brief explanation of the concept of magnons and introduce various hybrid magnonic systems. Then, we study the phenomenon of MIT. It will be demonstrated that the interaction between photon-magnon-center of mass motion (CM) leads to a transparency window. In addition, various factors such as the position of sphere, magnon-photon-CM coupling strength, frequency and power of the driving field play important roles in controlling and manipulating MIT. Also, the transparency window can appear in both regimes, i.e., strong and intermediate coupling regimes. We will show the slow and fast light effects and transformation between subluminal and superluminal propagation of the output probe field.
In the next step, the entanglement between magnon as internal degrees of freedom and CM as external degrees of freedom is investigated. we illustrated that by considering simple assumptions and with the current advances in levitated technology, the three-mode (photon-magnon-CM) system can effectively be reduced to a two-mode (magnon-CM motion) system, and then we show the magnon-CM entanglement. As is shown, increasing the magnon damping rate and the temperature have significant impact on entanglement reduction. So, by assuming the magnon squeezing, we can preserve the entanglement at higher temperatures, even if the magnon damping rate increases.