Abstract
The geometric phases of a nanowire-bridged superconducting Fabry-Perot resonator subjected to a microwave transmission have been investigated through its modelling into a RLC-circuit. Because the Hamiltonian of the system is a somewhat complicated form, special mathematical techniques, such as the invariant operator method and the unitary transformation approach, have been adopted in order to treat the system; These methods are very useful for managing complicated time-dependent Hamiltonian systems. We have rigorously evaluated the analytical geometric phases in both the Fock and coherent states. Typically, the geometric phases oscillate and the amplitude of such oscillations tend to grow over time. The influence of parameters of the system on the geometric phases has been analyzed in detail through the relevant illustrations. From our research, the concept of geometric phases and associated quantum mechanical characters of the system has been clarified. Our investigation for the geometric phases is useful for understanding topological features of the system, that take place through the evolution of the wave functions.
Highlights
Nanowires became a principal research subject in the science community thanks to their potential applicability in broad areas of modern technology, such as the nanowire-bridged resonators[1,2], AC power source generations[3,4], and nanowire cantilevers[5]
The subsequent researches on this issue had remarkably contributed to the development of physics associated with topology and its generalizations, widespread interest for the geometric phase continues to this day
For the time-dependent Hamiltonian systems (TDHSs), such states can be derived from the invariant operator method together with the unitary transformation approach
Summary
Nanowires became a principal research subject in the science community thanks to their potential applicability in broad areas of modern technology, such as the nanowire-bridged resonators[1,2], AC power source generations[3,4], and nanowire cantilevers[5]. In phenomenological models for describing the amplitude of the field-driven charge oscillations in resonator-nanowire systems, quantal wave phenomena with a phase evolution appear in general. We considered this and took into attention for the evolution of waves including their phases inside the wires in order to elucidate detailed theoretical features of the phenomena. Www.nature.com/scientificreports properties of nanowires are ubiquitous: They include observations of conductance fluctuations through quantum Hall effects[19], estimations of piezoelectricity in semiconductors[20,21,22,23], effects of ambipolar fields in crystalline insulators[24], and the applications as a tool to study many-body quantum systems in and out equilibrium conditions[25,26,27]
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