scholarly journals Entanglement entropy and computational complexity of the Anderson impurity model out of equilibrium: Quench dynamics

2017 ◽  
Vol 96 (8) ◽  
Author(s):  
Zhuoran He ◽  
Andrew J. Millis
Keyword(s):  
Computational Complexity ◽  
Entanglement Entropy ◽  
Impurity Model ◽  
Anderson Impurity Model ◽  
Quench Dynamics

Anderson impurity model: Vertex corrections within the finite U non-crossing approximation

2009 ◽  
Vol 404 (18) ◽  
pp. 2861-2864 ◽  
Author(s):  
P. Roura-Bas ◽  
V. Vildosola ◽  
L.O. Manuel ◽  
A.M. Llois
Keyword(s):  
Vertex Corrections ◽  
Impurity Model ◽  
Anderson Impurity Model

scholarly journals Pu 4f XPS spectra analyzed in the Anderson impurity model

1998 ◽  
Author(s):  
L.E. Cox ◽  
J.M. Peek ◽  
J.W. Allen
Keyword(s):  
Xps Spectra ◽  
Impurity Model ◽  
Anderson Impurity Model

scholarly journals Information dynamics in a model with Hilbert space fragmentation

2021 ◽  
Vol 11 (4) ◽  
Author(s):  
Dominik Hahn ◽  
Paul A. McClarty ◽  
David J. Luitz
Keyword(s):  
Hilbert Space ◽  
Entanglement Entropy ◽  
Long Distance ◽  
Information Dynamics ◽  
Geometrically Frustrated ◽  
Equilibrium Dynamics ◽  
Maximum Value ◽  
Far From Equilibrium ◽  
Quench Dynamics ◽  
Frustrated Spin

The fully frustrated ladder – a quasi-1D geometrically frustrated spin one half Heisenberg model – is non-integrable with local conserved quantities on rungs of the ladder, inducing the local fragmentation of the Hilbert space into sectors composed of singlets and triplets on rungs. We explore the far-from-equilibrium dynamics of this model through the entanglement entropy and out-of-time-ordered correlators (OTOC). The post-quench dynamics of the entanglement entropy is highly anomalous as it shows clear non-damped revivals that emerge from short connected chunks of triplets. We find that the maximum value of the entropy follows from a picture where coherences between different fragments co-exist with perfect thermalization within each fragment. This means that the eigenstate thermalization hypothesis holds within all sufficiently large Hilbert space fragments. The OTOC shows short distance oscillations arising from short coupled fragments, which become decoherent at longer distances, and a sub-ballistic spreading and long distance exponential decay stemming from an emergent length scale tied to fragmentation.

On the CTMA for the infiniteU Anderson impurity model

2007 ◽  
Vol 244 (7) ◽  
pp. 2357-2361 ◽  
Author(s):  
Hellmut Keiter ◽  
Klaus Baumgartner ◽  
Sebastian Duffe
Keyword(s):  
Impurity Model ◽  
Anderson Impurity Model

THEORY OF POLARIZATION DEPENDENCE IN RESONANT X-RAY EMISSION SPECTRA OF A URANIUM COMPOUND

2002 ◽  
Vol 09 (02) ◽  
pp. 1149-1153 ◽  
Author(s):  
MAKOTO NAKAZAWA ◽  
HARUHIKO OGASAWARA ◽  
AKIO KOTANI
Keyword(s):  
Selection Rule ◽  
Strong Dependence ◽  
Emission Spectra ◽  
Dipole Transition ◽  
Spectral Features ◽  
X Rays ◽  
X Ray ◽  
Uranium Compound ◽  
Impurity Model ◽  
Anderson Impurity Model

We calculate the U 5f → 3d5/2 resonant X-ray emission spectra (5f → 3d5/2 RXES) of a uranium compound, UO 3, by means of the Anderson impurity model with full multiplet effects. The calculation is based on the second-order optical formula, and the effect of the X-ray polarization is taken into account. The calculated results of 5f → 3d5/2 RXES show the strong dependence on the X-ray polarization. Using the selection rule of the dipole transition with polarized X-rays, the calculated spectral features are explained.

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