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

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Díaz de la Cruz, J.M. and Martín-Delgado Alcántara, Miguel Ángel (2014) Quantum-information engines with many-body states attaining optimal extractable work with quantum control. Physical review A, 89 (3). ISSN 1050-2947

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Official URL: http://dx.doi.org/10.1103/PhysRevA.89.032327




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 oneand 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.


Item Type:Article
Additional Information:

© 2014 American Physical Society. We acknowledge Spanish MICINN Grants No. FIS2009- 10061 and No. FIS2012-33152, CAM research consortium QUITEMAD S2009-ESP-1594, European Commission PICC: FP7 2007-2013, Grant No. 249958, and UCM-BS Grant No. GICC-910758.

Uncontrolled Keywords:Exorcize Maxwells demon; Computation; Energy;; Entropy; Erasure; Computer; Models; Logic.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:47383
Deposited On:08 May 2018 10:54
Last Modified:08 May 2018 11:34

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