% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{Nghiem:852913,
      author       = {Nghiem, H. T. M. and Costi, Theodoulos},
      title        = {{T}ime-dependent numerical renormalization group method for
                      multiple quenches: {T}owards exact results for the long-time
                      limit of thermodynamic observables and spectral functions},
      journal      = {Physical review / B},
      volume       = {98},
      number       = {15},
      issn         = {2469-9950},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2018-05700},
      pages        = {155107},
      year         = {2018},
      abstract     = {We develop an alternative time-dependent numerical
                      renormalization group (TDNRG) formalism for multiple
                      quenches and implement it to study the response of a quantum
                      impurity system to a general pulse. Within this approach, we
                      reduce the contribution of the NRG approximation to
                      numerical errors in the time evolution of observables by a
                      formulation that avoids the use of the generalized overlap
                      matrix elements in our previous multiple-quench TDNRG
                      formalism [Nghiem et al., Phys. Rev. B 89, 075118 (2014);
                      Phys. Rev. B 90, 035129 (2014)]. We demonstrate that the
                      formalism yields a smaller cumulative error in the trace of
                      the projected density matrix as a function of time and a
                      smaller discontinuity of local observables between quenches
                      than in our previous approach. Moreover, by increasing the
                      switch-on time, the time between the first and last quench
                      of the discretized pulse, the long-time limit of observables
                      systematically converges to its expected value in the final
                      state, i.e., the more adiabatic the switching, the more
                      accurately is the long-time limit recovered. The present
                      formalism can be straightforwardly extended to infinite
                      switch-on times. We show that this yields highly accurate
                      results for the long-time limit of both thermodynamic
                      observables and spectral functions, and overcomes the
                      significant errors within the single quench formalism
                      [Anders et al., Phys. Rev. Lett. 95, 196801 (2005); Nghiem
                      et al., Phys. Rev. Lett. 119, 156601 (2017)]. This
                      improvement provides a first step towards an accurate
                      description of nonequilibrium steady states of quantum
                      impurity systems, e.g., within the scattering states NRG
                      approach [Anders, Phys. Rev. Lett. 101, 066804 (2008)].},
      cin          = {IAS-3 / JARA-HPC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IAS-3-20090406 / $I:(DE-82)080012_20140620$},
      pnm          = {142 - Controlling Spin-Based Phenomena (POF3-142) /
                      Thermoelectric properties of molecular quantum dots and
                      time-dependent response of quantum dots $(jiff23_20140501)$},
      pid          = {G:(DE-HGF)POF3-142 / $G:(DE-Juel1)jiff23_20140501$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000446296600003},
      doi          = {10.1103/PhysRevB.98.155107},
      url          = {https://juser.fz-juelich.de/record/852913},
}