Quantum thermodynamics of the frustrated spin-lattice system

The quantum heat engine generates power from heat flow between hot and cold reservoirs. It is important to produce quantum heat engines on a scale where quantum effects occur in the world of increasingly smaller tools and engines. Thus the field of quantum thermodynamics, which is the quantum scale equivalent of classical thermodynamics, emerges as a new discipline. A heat engine can be built using many quantum mechanical systems with different temperatures. Spin systems are a good example of this. In this study, we worked on the spin-glass model, which is known as a frustrated system. Spin-glass systems are an interesting and important topic for explaining not only condensed matter physics and statistical mechanics, but also the dynamics of biological systems. These systems have had an important role in modeling the human brain or modeling the molecular evolution that constitutes the basic structure of life. Also, we discussed the frustrated (1/2,1,1/2) mixed Heisenberg XXZ spin system and calculated the work and efficiency to be produced by the quantum heat machine under the effect of frustration. The system we are considering can also display different magnetic phases depending on the selected interaction parameter. In the study, work and efficiency were calculated in ferromagnetic and antiferromagnetic phases and compared with the results of the spin-glass phase.