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100 | 1 | _ | |a Nghiem, H. T. M. |0 P:(DE-HGF)0 |b 0 |
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 |c 2018 |b Inst. |
336 | 7 | _ | |a article |2 DRIVER |
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336 | 7 | _ | |a Journal Article |b journal |m journal |0 PUB:(DE-HGF)16 |s 1564402955_12778 |2 PUB:(DE-HGF) |
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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) |0 G:(DE-Juel1)jiff23_20140501 |c jiff23_20140501 |f Thermoelectric properties of molecular quantum dots and time-dependent response of quantum dots |x 1 |
542 | _ | _ | |i 2018-10-02 |2 Crossref |u https://link.aps.org/licenses/aps-default-license |
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700 | 1 | _ | |a Costi, Theodoulos |0 P:(DE-Juel1)130600 |b 1 |e Corresponding author |u fzj |
773 | 1 | 8 | |a 10.1103/physrevb.98.155107 |b American Physical Society (APS) |d 2018-10-02 |n 15 |p 155107 |3 journal-article |2 Crossref |t Physical Review B |v 98 |y 2018 |x 2469-9950 |
773 | _ | _ | |a 10.1103/PhysRevB.98.155107 |g Vol. 98, no. 15, p. 155107 |0 PERI:(DE-600)2844160-6 |n 15 |p 155107 |t Physical review / B |v 98 |y 2018 |x 2469-9950 |
856 | 4 | _ | |u https://juser.fz-juelich.de/record/852913/files/PhysRevB.98.155107.pdf |y OpenAccess |
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