Optimal Manipulation Of Correlations And Temperature In Quantum Thermodynamics

Abstract

This thesis is devoted to studying two tasks: refrigeration and the creation of correlations. In the refrigeration part, two different paradigms of cooling, namely coherent and incoherent, are defined. The connection that these paradigms have with other existing refrigeration techniques such as heat bath algorithmic cooling (HBAC), the resource theoretic approach to quantum thermodynamics, and autonomous cooling is then made. Each paradigm is then investigated on its own. This in particular allows for the derivation of a general and attainable bound. The bound is striking in its simplicity: it depends on a single parameter of the environment/machine used to cool the system of interest. The creation of correlations part is devoted to the quantitative study of how much correlations can be created for a given amount of energy. After having precisely formulated the problem of interest, we solve it for arbitrary finite dimensional bipartite systems for vanishing background temperatures. For non-vanishing background temperature the symmetry of the problem breaks down, making it much harder to tackle. When both systems are copies of each other, enough symmetry is restored to formulate an upper bound valid for all (finite) dimensional systems and prove its attainability for dimension 3 and 4. We furthermore conjecture, as well as show evidence for, the bound to be attainable in any dimension.

PhD thesis, 135 pages

References in corpus (13)

• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• Experimental Observation of a Generalized Gibbs Ensemble
• Single ion heat engine with maximum efficiency at maximum power
• Quantum coherence, time-translation symmetry and thermodynamics
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Proof of the Ergodic Theorem and the H-Theorem in Quantum Mechanics
• Autonomous Quantum Refrigerator in a Circuit-QED Architecture Based on a Josephson Junction
• The Structure of Bipartite Quantum States - Insights from Group Theory and Cryptography
• Thermodynamic cost of creating correlations
• Correlations in quantum thermodynamics: Heat, work, and entropy production
• The thermodynamics of creating correlations: Limitations and optimal protocols
• Passivity and practical work extraction using Gaussian operations
• The Asymptotic Cooling of Heat-Bath Algorithmic Cooling