Adiabatic quantum motor

An adiabatic quantum motor is a mechanical device, typically nanometric, driven by a flux of quantum particles and able to perform cyclic motions. The adjective “adiabatic” in this context refers to the limit when the dynamics of the mechanical degrees of freedom is slow compared with the dwell time of the particles passing through the device. In this regime, it is commonly assumed that the mechanical degrees of freedom behave classically. This class of devices works essentially as quantum pumps operated in reverse. While in a quantum pump, the periodic movement of some parameters pumps quantum particles from one reservoir to another, in a quantum motor a DC current of particles induces the cyclic motion of the device. One key feature of these motors is that quantum interferences can be used to increase their efficiency by enhancing the reflection coefficient of the scattered particles. Although there are several proposals for the realization of adiabatic quantum motors, none of them have been verified experimentally.[1][2][3][4][5][6][7][8][9]

Scheme of an adiabatic quantum motor made of a quantum dot coupled to a rotating wheel

Adiabatic quantum motors

  • Anderson's adiabatic quantum motor[9]
  • Thouless motor[1][5][8]
  • Adiabatic quantum motors based on quantum dots[1][2][6][7]
  • Nanomagnet coupled to a quantum spin Hall edge (formally equivalent to a Thouless motor)[3]
  • Adiabatic quantum motors driven by temperature gradients[4]

References

  1. Bustos-Marún, Raúl; Refael, Gil; von Oppen, Felix (2013-08-05). "Adiabatic Quantum Motors". Physical Review Letters. American Physical Society (APS). 111 (6): 060802. arXiv:1304.4969. Bibcode:2013PhRvL.111f0802B. doi:10.1103/physrevlett.111.060802. ISSN 0031-9007. PMID 23971547. S2CID 18597844.
  2. Fernández-Alcázar, Lucas J.; Bustos-Marún, Raúl A.; Pastawski, Horacio M. (2015-08-05). "Decoherence in current induced forces: Application to adiabatic quantum motors". Physical Review B. 92 (7): 075406. arXiv:1506.07035. Bibcode:2015PhRvB..92g5406F. doi:10.1103/physrevb.92.075406. ISSN 1098-0121. S2CID 67764357.
  3. Arrachea, Liliana; von Oppen, Felix (2015). "Nanomagnet coupled to quantum spin Hall edge: An adiabatic quantum motor". Physica E: Low-dimensional Systems and Nanostructures. Elsevier BV. 74: 596–602. arXiv:1507.06505. Bibcode:2015PhyE...74..596A. doi:10.1016/j.physe.2015.08.031. ISSN 1386-9477. S2CID 4514651.
  4. Ludovico, María Florencia; Battista, Francesca; von Oppen, Felix; Arrachea, Liliana (2016-02-18). "Adiabatic response and quantum thermoelectrics for ac-driven quantum systems". Physical Review B. 93 (7): 075136. arXiv:1506.08617. Bibcode:2016PhRvB..93g5136L. doi:10.1103/physrevb.93.075136. ISSN 2469-9950. S2CID 4502369.
  5. Fernández-Alcázar, Lucas J.; Pastawski, Horacio M.; Bustos-Marún, Raúl A. (2017-04-07). "Dynamics and decoherence in nonideal Thouless quantum motors". Physical Review B. 95 (15): 155410. arXiv:1612.09166. Bibcode:2017PhRvB..95o5410F. doi:10.1103/physrevb.95.155410. ISSN 2469-9950. S2CID 119079303.
  6. Calvo, Hernán L.; Ribetto, Federico D.; Bustos-Marún, Raúl A. (2017-10-23). "Real-time diagrammatic approach to current-induced forces: Application to quantum-dot based nanomotors". Physical Review B. 96 (16): 165309. arXiv:1710.04331. Bibcode:2017PhRvB..96p5309C. doi:10.1103/physrevb.96.165309. ISSN 2469-9950. S2CID 119105705.
  7. Ludovico, María Florencia; Capone, Massimo (2018-12-05). "Enhanced performance of a quantum-dot-based nanomotor due to Coulomb interactions". Physical Review B. 98 (23): 235409. arXiv:1808.10780. Bibcode:2018PhRvB..98w5409L. doi:10.1103/physrevb.98.235409. ISSN 2469-9950. S2CID 55653189.
  8. Bruch, Anton; Kusminskiy, Silvia Viola; Refael, Gil; von Oppen, Felix (2018-05-09). "Interacting adiabatic quantum motor". Physical Review B. 97 (19): 195411. arXiv:1712.04952. Bibcode:2018PhRvB..97s5411B. doi:10.1103/physrevb.97.195411. ISSN 2469-9950. S2CID 4505580.
  9. Fernández-Alcázar, Lucas J.; Pastawski, Horacio M.; Bustos-Marún, Raúl A. (2019-01-02). "Nonequilibrium current-induced forces caused by quantum localization: Anderson adiabatic quantum motors". Physical Review B. 99 (4): 045403. arXiv:1810.00220. Bibcode:2019PhRvB..99d5403F. doi:10.1103/physrevb.99.045403. ISSN 2469-9950. S2CID 119227467.
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