Holographic Heat Engines as Quantum Heat Engines

Abstract

Certain solutions of Einstein's equations in anti-de Sitter spacetime can be engineered, using extended gravitational thermodynamics, to yield `holographic heat engines', devices that turn heat into useful mechanical work. On the other hand, there are constructions (both experimental and theoretical) where a series of operations is performed on a small quantum system, defining what are known as `quantum heat engines'. We propose that certain holographic heat engines can be considered models of quantum heat engines, and the possible fruitfulness of this connection is discussed. Motivated by features of quantum heat engines that take a quantum system through analogues of certain classic thermodynamic cycles, some black hole Otto and Diesel cycles are presented and explored for the first time. In the expected regime of overlap, our Otto efficiency formulae are of the form exhibited by quantum and classical heat engines.

24 pages, multiple figures, 1 trumpet

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Cited by in corpus (8)

• Quantum thermodynamic devices: from theoretical proposals to experimental reality
• Higher-dimensional origin of extended black hole thermodynamics
• A Microscopic Description of Thermodynamic Volume in Extended Black Hole Thermodynamics
• Black Hole Chemistry: the first 15 years
• Quantum heat engines with complex working media, complete Otto cycles and heuristics
• Universality for Black Hole Heat Engines Near Critical Points
• The heat engine of magnetic black holes in AdS space with rational nonlinear electrodynamics
• Black Holes and Thermogeometric Optimization