Optimal Manipulation of Correlations and Temperature in Quantum Thermodynamics

Clivaz, Fabien

doi:10.13097/archive-ouverte/unige:145933

Cited by 1 publication

(1 citation statement)

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“…Then, any energy conserving unitary U EC used to cool the system in the incoherent-control paradigm must act within such B i subspaces, i.e., U EC = i U Bi (this is a direct consequence of [U EC , H S + H C + H H ] = 0, see, e.g., Lemma 5 of Ref. [59]). This means in particular that the initial population of |i * 00 SCH can only be distributed within B i * , and as no eigenvector of the form |0jk SCH is contained in B i * by assumption, it can never contribute to the final ground state population of S, which we denote p 0 S .…”

Section: E3 Diverging Control Complexity Cooling Protocol For Harmoni...mentioning

confidence: 99%

Landauer vs. Nernst: What is the True Cost of Cooling a Quantum System?

Taranto

Bakhshinezhad

Bluhm

et al. 2021

Preprint

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Thermodynamics connects our knowledge of the world to our capability to manipulate and thus to control it. This crucial role of control is exemplified by the third law of thermodynamics, Nernst's unattainability principle, stating that infinite resources are required to cool a system to absolute zero temperature. But what are these resources? And how does this relate to Landauer's principle that famously connects information and thermodynamics? We answer these questions by providing a framework for identifying the resources that enable the creation of pure quantum states. We show that perfect cooling is possible with Landauer energy cost given infinite time or control complexity. Within the context of resource theories of quantum thermodynamics, we derive a Carnot-Landauer limit, along with protocols for its saturation. This generalises Landauer's principle to a fully thermodynamic setting, leading to a unification with the third law and emphasising the importance of control in quantum thermodynamics.

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Section: E3 Diverging Control Complexity Cooling Protocol For Harmoni...mentioning

confidence: 99%