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Relation Between Correlation and Energy in Quantum Thermodynamics
, Ph.D. Dissertation Sharif University of Technology ; Rezakhani, Ali (Supervisor) ; Huber, Marcus (Supervisor) ; Jafari, Akbar (Supervisor)
Abstract
Quantum thermodynamics is a new field of study in physics, which by considering the fundamentals of statistical mechanics, open quantum system, quantum information and mesoscopic system aims at the investigation of quantum systems from a thermodynamical point of view. To achieve these aims, a better understanding of the relations between quantum and thermodynamics fundamentals is essential. Energy and correlation are two key concepts in statistical mechanics and quantum thermodynamics (and information), respectively, that studying the relation between them will shed light on the fundamentals of quantum thermodynamics. As generating any correlation in quantum systems with initial heat state...
Thermodynamically optimal creation of correlations
, Article Journal of Physics A: Mathematical and Theoretical ; Volume 52, Issue 46 , 2019 ; 17518113 (ISSN) ; Clivaz, F ; Vitagliano, G ; Erker, P ; Rezakhani, A ; Huber, M ; Friis, N ; Sharif University of Technology
Institute of Physics Publishing
2019
Abstract
Correlations lie at the heart of almost all scientific predictions. It is therefore of interest to ask whether there exist general limitations to the amount of correlations that can be created at a finite amount of invested energy. Within quantum thermodynamics such limitations can be derived from first principles. In particular, it can be shown that establishing correlations between initially uncorrelated systems in a thermal background has an energetic cost. This cost, which depends on the system dimension and the details of the energy-level structure, can be bounded from below but whether these bounds are achievable is an open question. Here, we put forward a framework for studying the...