Dresden 2026 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 90: Quantum Impurities and Kondo Physics
TT 90.5: Vortrag
Donnerstag, 12. März 2026, 18:00–18:15, CHE/0091
The work distribution function of a qubit and of the Anderson impurity model — •Theodoulos Costi1, Hoa Nghiem2, Steven Campbell3,4, and Andrew Mitchell3,4 — 1Peter Günberg Institute, Research Centre Jülich, 52428 Jülich, Germany — 2Phenikaa Institute for Advanced Study, Phenikaa University, 12116 Hanoi, Vietnam — 3School of Physics, University College Dublin, Belfield, Dublin 4, Ireland — 4Centre for Quantum Engineering, Science and Technology, University College Dublin, Ireland
The work distribution function (WDF) of two representative quantum impurity models, the Anderson impurity model (AIM) of strongly correlated electrons, and the Ohmic spin-boson model (SBM) of a qubit coupled to an environment, is investigated within the non-perturbative time dependent numerical renormalization group (TDNRG) approach [1]. For level quenches, the zero temperature WDF, P(W), exhibits a threshold behavior above the minimum work, Wmin, taking the form P(W)=a |W−Wmin|−(1−αOC) where αOC is the Anderson orthogonality exponent. We calculate αOC analytically, finding agreement with that obtained from the TDNRG. The calculations are further validated by verifying the first three moments of the WDF and the Crooks relation. This work demonstrates the ability of the TDNRG approach to capture the quantum thermodynamics of nanoscale quantum impurity systems for strong quenches beyond the linear response regime [1].
[1] H.T.M. Nghiem, T.A. Costi, S. Campbell, A.K. Mitchell, preprint (2025)
Keywords: Work distribution function; Quantum impurity systems; Crooks relation; Orthogonality catastrophe; Nonequlibrium