Smoothed generalized free energies for thermodynamics
| Autor: | Nelly Huei Ying Ng, Stephanie Wehner, Remco van der Meer |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
Quantum Physics Work (thermodynamics) Thermodynamic state FOS: Physical sciences Thermodynamics 01 natural sciences 010305 fluids & plasmas Gibbs free energy symbols.namesake Quantum state 0103 physical sciences Thermodynamic limit symbols Statistical physics Ball (mathematics) Quantum Physics (quant-ph) 010306 general physics Quantum Smoothing |
| Zdroj: | Physical Review A Physical Review A: covering atomic, molecular, and optical physics and quantum information, 96(6) |
| ISSN: | 2469-9926 |
| Popis: | In the study of thermodynamics for nanoscale quantum systems, a family of quantities known as generalized free energies have been derived as necessary and sufficient conditions that govern state transitions. These free energies become important especially in the regime where the system of interest consists of only a few (quantum) particles. In this work, we introduce a new family of smoothed generalized free energies, by constructing explicit smoothing procedures that maximize/minimize the free energies over an $ \varepsilon$-ball of quantum states. In contrast to previously known smoothed free energies, these quantities now allow us to make an operational statement for approximate thermodynamic state transitions. We show that these newly defined smoothed quantities converge to the standard free energy in the thermodynamic limit. Comment: 6 pages main text + 12 pages appendix, revised version with new figure and corollary, results unchanged |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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