Most energetic passive states

Abstract

Passive states are defined as those states that do not allow for work extraction in a cyclic (unitary) process. Within the set of passive states, thermal states are the most stable ones: they maximize the entropy for a given energy, and similarly they minimize the energy for a given entropy. Here we find the passive states lying in the other extreme, i.e., those that maximize the energy for a given entropy, which we show also minimize the entropy when the energy is fixed. These extremal properties make these states useful to obtain fundamental bounds for the thermodynamics of finite-dimensional quantum systems, which we show in several scenarios.

6 pages, 2 figures; published version

References in corpus (6)

• Statistical mechanics and dynamics of solvable models with long-range interactions
• Quantum thermodynamics of general quantum processes
• Strong Local Passivity in Finite Quantum Systems
• Clock-Driven Quantum Thermal Engines
• Reexamination of Pure Qubit Work Extraction
• Equivalence of Statistical Mechanical Ensembles for Non-Critical Quantum Systems

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