International Journal of Engineering and Information Systems (IJEAIS)   Year: 2023 | Volume: 7 | Issue: 6 | Page No.: 67-75 The Temperature-Dependent Superfluid Density and Related London Penetration Depth Download PDF U.A. Mayinova, J.M. Abdiev, Abstract: Understanding the behavior of superfluids at different temperatures is crucial for investigating their unique quantum mechanical properties. In this study, we explore the temperature-dependent superfluid density and its relationship to the London penetration depth in various superfluid systems. We begin by providing a comprehensive overview of superfluidity, highlighting its fundamental importance in condensed matter physics and its applications in diverse fields such as quantum computing and particle physics. We delve into the theoretical underpinnings of superfluidity, including the role of Bose-Einstein condensation and the formation of Cooper pairs in fermionic systems. Next, we present a detailed analysis of the experimental techniques employed to measure the superfluid density and London penetration depth. We discuss the advantages and limitations of each method, ensuring a comprehensive understanding of the measurements conducted in this study. Our findings reveal a distinct temperature dependence of the superfluid density, characterized by a critical transition temperature marking the onset of superfluid behavior. Through precise measurements, we establish the correlation between the superfluid density and the London penetration depth, elucidating the underlying physics behind this relationship. Furthermore, we discuss the implications of our results for the field of superconductivity and its technological applications. We highlight the potential for optimizing superconducting materials and advancing the design of high-temperature superconductors. Our investigation sheds light on the temperature-dependent properties of superfluids, providing valuable insights into their macroscopic quantum behavior. This work contributes to the ongoing efforts in understanding and harnessing the extraordinary properties of superfluids for future technological advancements.