Coherence manipulation in asymmetry and thermodynamics

Abstract

In the classical regime, thermodynamic state transformations are governed by the free energy. This is also called as the second law of thermodynamics. Previous works showed that, access to a catalytic system allows us to restore the second law in the quantum regime when we ignore coherence. However, in the quantum regime, coherence and free energy are two independent resources. Therefore, coherence places additional non-trivial restrictions on the the state transformations, that remains elusive. In order to close this gap, we isolate and study the nature of coherence, i.e., we assume access to a source of free energy. We show that allowing catalysis along with a source of free energy allows us to amplify any quantum coherence present in the quantum state arbitrarily. Additionally, any correlations between the system and the catalyst can be suppressed arbitrarily. Therefore, our results provide a key step in formulating a fully general law of quantum thermodynamics.

6 pages, 1 figure. Close to the published version

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Cited by in corpus (7)

• Genuine non-Gaussian entanglement of light and quantum coherence for an atom from noisy multiphoton spin-boson interactions
• Second Law of Entanglement Manipulation with Entanglement Battery
• Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy
• Advantage of flexible catalysis for entanglement and quantum thermodynamics
• Quantum geometric tensor determines the pure-state i.i.d. conversion rate in the resource theory of asymmetry for any compact Lie group
• Unspeakable Coherence Concentration
• Behavior of quantum coherence in the ultrastrong and deep strong coupling regimes of light-matter system