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Symmetry And Control In Thermodynamics, Emily Adlam, L. Uribarri, N. Allen
Symmetry And Control In Thermodynamics, Emily Adlam, L. Uribarri, N. Allen
Mathematics, Physics, and Computer Science Faculty Articles and Research
We explore the relationship between symmetry and entropy, distinguishing between symmetries of state and dynamical symmetries, and in the context of quantum thermodynamics between symmetries of pure and mixed states. Ultimately, we will argue that symmetry in thermodynamics is best understood as a means of control within the control theory paradigm, and we will describe an interesting technological application of symmetry-based control in the context of a quantum coherence capacitor. Symmetry, the concept from which Noether derived the conservation laws of physics, is one of the most important guiding principles of modern physics. Moreover, symmetry is often regarded as a …