Current Induced Forces in Open Quantum Dots: Dinamical Phase Transition.

SEBASTIÁN DEGHI; BUSTOS MARÚN, RAÚL A.; HORACIO M. PASTAWSKI; FERNÁNDEZ-ALCÁZAR, LUCAS J.

Trieste

Workshop; College on Energy Transport and Energy Conversion in the Quantum Regime, ICTP, Trieste, Italia, (10/2019).; 2019

ICTP - International Centre for Theoretical Physics

Adiabatic quantum motors [1] are machines ofnanometric scale which can produce mechanic workfrom a flux of quantum particles. Their study, then,requires the knowledge of current-induced forces andtheirs non-conservative contributions. In this work, westudy a minimum model consisting of a quantum dotconnected with to reservoirs, where electrons aretreated as non-interactive particles through a tightbindingHamiltonian [2]. We analyze the equilibriumforces, the non-equilibrium forces and the energydissipation through Green functions and scatteringmatrices [3]. Here, we focus on studying the connectionbetween these quantities and the different states of theelectronic part of the system (resonant, virtual, andlocalized states) [4,5]. Our results can find numerousapplications in different kind of nanoelectromechanicalsystems [6] such as adiabatic quantum motors andadiabatic quantum pumps [1,3].[1] R. Bustos-Mar´un, G. Refael and F. von Oppen, Adiabatic quantum motors, Phys. Rev.Lett. 111, 060802 (2013)[2] H. Pastawski and E. Medina, ?Tight Binding´ methods in quantum transport throughmolecules and small devices: From the coherent to the decoherent description, Rev. Mex.Phys. 47(S1), 1.[3] N. Bode, S. Viola Kusminskiy, R. Egger, and F. von Oppen, Current-induce forces inmesoscopic systems: a scattering matrix approach, Beilstein J. Nanotechnol. 3, 144 (3).[4] R. Bustos-Mar´un, E. Coronado and H. Pastawski, Buffering plasmons in nanoparticuleswaveguides at the virtual-localized transition, Phys. Rev. Lett. 82, 035434 (2010).[5] A. Dente, R. Bustos-Mar´un and H. Pastawski, dinamical regimens of quantum SWAPgate beyond the Fermi golden rule, Phys. Rev. Lett. 78, 062116 (2008).[6] A. MacKinnon, Theory of some nano-electro-mechanical systems, Physica E 29, 399 (2005).