scholarly journals Quantum impurity model for anyons

2020 ◽  
Vol 102 (14) ◽  
Author(s):  
E. Yakaboylu ◽  
A. Ghazaryan ◽  
D. Lundholm ◽  
N. Rougerie ◽  
M. Lemeshko ◽  
...  
Keyword(s):  
Impurity Model ◽  
Quantum Impurity

scholarly journals Strong-coupling solver for the quantum impurity model

2005 ◽  
Vol 72 (4) ◽  
Author(s):  
Xi Dai ◽  
Kristjan Haule ◽  
Gabriel Kotliar
Keyword(s):  
Strong Coupling ◽  
Impurity Model ◽  
Quantum Impurity

scholarly journals Solution to the sign problem in a frustrated quantum impurity model

2017 ◽  
Vol 376 ◽  
pp. 63-75 ◽  
Author(s):  
Connor T. Hann ◽  
Emilie Huffman ◽  
Shailesh Chandrasekharan
Keyword(s):  
Impurity Model ◽  
Sign Problem ◽  
Quantum Impurity

scholarly journals Maximally Localized Dynamical Quantum Embedding for Solving Many-Body Correlated Systems

2020 ◽  
Author(s):  
Carla Lupo ◽  
Wai Hei Terence Tze ◽  
Francois Jamet ◽  
Ivan Rungger ◽  
Cedric Weber
Keyword(s):  
Degrees Of Freedom ◽  
Mean Field Theory ◽  
Mean Field ◽  
Many Body ◽  
Correlated Systems ◽  
Impurity Model ◽  
Quantum Impurity ◽  
Diagonalization Method ◽  
Large Benefit ◽  
Exact Diagonalization Method

Abstract We present a quantum embedding methodology to resolve the Anderson impurity model in the context of dynamical mean-field theory, based on an extended exact diagonalization method. Our method provides a maximally localized quantum impurity model, where the non-local components of the correlation potential remain minimal. This comes at a large benefit, as the environment used in the quantum embedding approach is described by propagating correlated electrons and hence offers an exponentially increasing number of degrees of freedom for the embedding mapping, in contrast to traditional free-electron representation where the scaling is linear. We report that quantum impurity models with as few as 3 bath sites can reproduce both the Mott transition and the Kondo physics, thus opening a more accessible route to the description of time-dependent phenomena. Finally, we obtain excellent agreement for dynamical magnetic susceptibilities, poising this approach as a candidate to describe 2-particle excitations such as excitons in correlated systems. We expect that our approach will be highly beneficial for the implementation of embedding algorithms on quantum computers, as it allows for a fine description of the correlation in materials with a reduced number of required qubits.

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