Performance of autonomous quantum thermal machines: Hilbert space dimension as a thermodynamical resource

Ralph Silva, Gonzalo Manzano, Paul Skrzypczyk, Nicolas Brunner

Research output: Contribution to journalArticle (Academic Journal)peer-review

26 Citations (Scopus)
291 Downloads (Pure)

Abstract

Multilevel autonomous quantum thermal machines are discussed. In particular, we explore the relation between the size of the machine (captured by Hilbert space dimension), and the performance of the machine. Using the concepts of virtual qubits and virtual temperatures, we show that higher dimensional machines can outperform smaller ones. For instance, by considering refrigerators with more levels, lower temperatures can be achieved, as well as higher power. We discuss the optimal design for refrigerators of a given dimension. As a consequence we obtain a statement of the third law in terms of Hilbert space dimension: reaching absolute zero temperature requires infinite dimension. These results demonstrate that Hilbert space dimension should be considered a thermodynamic resource.
Original languageEnglish
Article number032120
Number of pages15
JournalPhysical Review E
Volume94
DOIs
Publication statusPublished - 16 Sep 2016

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