Thermal Operations Involving a Single-mode Bosonic Bath

Abstract

We study the limitations on coherence evolutions under the constraints of thermodynamic laws, and focus on the optimal thermal operations (TO) reaching the bounds. For qubit case, we find a thermal operation involving only a single-mode reservoir (STO) which maintains the maximum coherence allowed by general TO. For higher dimensions, we derive general bounds on coherence merging under TO, and find STO to reach the bounds. By applying the bound to a two-qubit system, we prove that erasing correlations while preserving the marginal states is not free in the resource theory of thermodynamics. Due to the simple structure of STO and its strong ability in coherence processing, our results shed light on both theoretical and experimental studies in the field of thermodynamics for small quantum systems.

arXiv comment7 pages. Comments are welcome!

References in corpus (18)

• Reference frames, superselection rules, and quantum information
• Fundamental limitations for quantum and nano thermodynamics
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• The second laws of quantum thermodynamics
• The Resource Theory of Quantum States Out of Thermal Equilibrium
• Catalytic Coherence
• Quantum coherence, time-translation symmetry and thermodynamics
• Quantum majorization and a complete set of entropic conditions for quantum thermodynamics
• The thermodynamic meaning of negative entropy
• The extraction of work from quantum coherence
• Low-temperature thermodynamics with quantum coherence
• Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
• Modes of asymmetry: the application of harmonic analysis to symmetric quantum dynamics and quantum reference frames
• Single-atom demonstration of quantum Landauer principle
• Fully quantum fluctuation theorems
• Quantum fluctuation theorems, contextuality and work quasi-probabilities
• Elementary Thermal Operations
• Markovian evolution of quantum coherence under symmetric dynamics

Cited by in corpus (7)

• An introductory review of the resource theory approach to thermodynamics
• Amplifying asymmetry with correlated catalysts
• Exploring the gap between thermal operations and enhanced thermal operations
• Exploring the Limits of Controlled Markovian Quantum Dynamics with Thermal Resources
• Which Bath-Hamiltonians Matter for Thermal Operations?
• A hierarchy of thermal processes collapses under catalysis
• Role of Dilations in Reversing Physical Processes: Tabletop Reversibility and Generalized Thermal Operations