Finite coupling effects in double quantum dots near equilibrium
Name
PhysRevB.95.035428.pdf
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473.72 KB
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Adobe PDF
Checksum (MD5)
542956c9662566a4f20f782e0910d516
Author(s)
Xu, Xiansong
Thingna, Juzar
Wang, Jian-Sheng
Date Issued
January 2017
Journal
Physical Review B
Publisher
American Physical Society
Citation
Xu, Xiansong, Juzar Thingna, and Jian-Sheng Wang. “Finite Coupling Effects in Double Quantum Dots near Equilibrium.” Physical Review B 95.3 (2017): n. pag. © 2017 American Physical Society
Version
Final published version
Abstract
A weak coupling quantum master equation provides reliable steady-state results only in the van Hove limit, i.e., when the system-lead coupling approaches zero. Recently, J. Thingna et al. [Phys. Rev. E 88, 052127 (2013)PLEEE81539-375510.1103/PhysRevE.88.052127] proposed an alternative approach, based on an analytic continuation of the Redfield solution, to evaluate the steady-state reduced density matrix up to second order in the system-bath coupling. The approach provides accurate results for harmonic oscillator and spin-bosonic systems. We apply this approach to study steady-state fermionic systems and the calculation on an exactly solvable double quantum dot system shows that the method is rigorously valid up to second order in system-lead coupling only near equilibrium, i.e., linear response regime. We further compare to the Redfield and the secular Redfield (Lindblad-type) master equations that are inaccurate in all parameter regimes. Lastly, we consider the nontrivial problem of strong Coulomb interaction and illustrate the interplay between system-lead coupling, interdot tunneling, and Coulomb strength that can be captured only via the analytic continuation method.
MIT Department
Massachusetts Institute of Technology. Department of Chemistry
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.95.035428
