Quantum-information engines with many-body states attaining optimal extractable work with quantum control

J. M. Diaz de la Cruz and M. A. Martin-Delgado
Phys. Rev. A 89, 032327 – Published 19 March 2014

Abstract

We introduce quantum information engines that extract work from quantum states and a single thermal reservoir. They may operate under three general conditions—(1) unitarily steered evolution (US), driven by a restricted set of available Hamiltonians; (2) irreversible thermalization (IT), and (3) isothermal relaxation (IR)—and hence are called USITIR machines. They include novel engines without traditional feedback control mechanisms, as well as versions which also include them. Explicit constructions of USITIR engines are presented for one- and two-qubit states and their maximum extractable work is computed, which is optimal. Optimality is achieved when the notions of controllable thermalizability and density matrix controllability are fulfilled. Then many-body extensions of USITIR engines are also analyzed and conditions for optimal work extraction are identified. When they are not met, we measure their lack of optimality by means of newly defined uncontrollable entropies, which are explicitly computed for some selected examples. This includes cases of distinguishable and indistinguishable particles.

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  • Received 10 February 2014

DOI:https://doi.org/10.1103/PhysRevA.89.032327

©2014 American Physical Society

Authors & Affiliations

J. M. Diaz de la Cruz1,* and M. A. Martin-Delgado2

  • 1Departmento de Fisica Aplicada, Universidad Politecnica, 28006 Madrid, Spain
  • 2Departamento de Fisica Teorica I, Universidad Complutense, 28040 Madrid, Spain

  • *jose.diazdelacruz@upm.es

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Vol. 89, Iss. 3 — March 2014

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