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024 7 _ |a 10.1103/PhysRevB.98.155107
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100 1 _ |a Nghiem, H. T. M.
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245 _ _ |a Time-dependent numerical renormalization group method for multiple quenches: Towards exact results for the long-time limit of thermodynamic observables and spectral functions
260 _ _ |a Woodbury, NY
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520 _ _ |a 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)].
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536 _ _ |a Thermoelectric properties of molecular quantum dots and time-dependent response of quantum dots (jiff23_20140501)
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|f Thermoelectric properties of molecular quantum dots and time-dependent response of quantum dots
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542 _ _ |i 2018-10-02
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700 1 _ |a Costi, Theodoulos
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773 1 8 |a 10.1103/physrevb.98.155107
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|t Physical Review B
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|y 2018
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773 _ _ |a 10.1103/PhysRevB.98.155107
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856 4 _ |u https://juser.fz-juelich.de/record/852913/files/PhysRevB.98.155107.pdf
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