scholarly journals Quantum fluctuations beyond the Gutzwiller approximation in the Bose-Hubbard model

2020 ◽  
Vol 2 (3) ◽  
Author(s):  
Fabio Caleffi ◽  
Massimo Capone ◽  
Chiara Menotti ◽  
Iacopo Carusotto ◽  
Alessio Recati
Keyword(s):  
Hubbard Model ◽  
Quantum Fluctuations ◽  
Gutzwiller Approximation

scholarly journals QUANTUM FLUCTUATIONS ON THE GUTZWILLER APPROXIMATION OF THE HUBBARD MODEL

1988 ◽  
Vol 02 (05) ◽  
pp. 607-612 ◽  
Author(s):  
M. LAVAGNA
Keyword(s):  
Hubbard Model ◽  
Resonant State ◽  
Mean Field ◽  
Quantum Fluctuations ◽  
Strongly Correlated ◽  
New Approach ◽  
Kondo Problem ◽  
Gutzwiller Approximation ◽  
The Mean ◽  
Complete Analogy

Many experimental results seem to relate the superconducting oxides to the phenomenon of Mott localization in strongly correlated systems. We will give a brief review of the different theories developed until then to treat the Mott localization in the Hubbard model: variational Ansatz of Gutzwiller or RVB Ansatz, leading to fundamentally different ground states. In this context, we propose a new approach which consists to take account of the quantum fluctuations around the mean-field solution provided by the Gutzwiller approximation. We show how to understand the ground state in terms of a resonance (split by the Mott gap in the almost-localized regime) in complete analogy with the Abrikosov-Suhl resonance of the Kondo problem — heavy fermions. Superconductivity appears as induced by the constrained intersite correlations developed by quantum fluctuations around this resonant state.

Quantum fluctuations in the one dimensional hubbard model with a less than half filling

1994 ◽  
Author(s):  
S. Yamamoto ◽  
A. Ikawa ◽  
H. Fukutome
Keyword(s):  
Hubbard Model ◽  
Quantum Fluctuations ◽  
One Dimensional ◽  
Half Filling ◽  
The One

scholarly journals Many-site coherence revivals in the extended Bose-Hubbard model and the Gutzwiller approximation

2011 ◽  
Vol 84 (6) ◽  
Author(s):  
Uwe R. Fischer ◽  
Bo Xiong
Keyword(s):  
Hubbard Model ◽  
Gutzwiller Approximation

scholarly journals Quantum fluctuations beyond the Gutzwiller approximation

2017 ◽  
Vol 95 (7) ◽  
Author(s):  
Michele Fabrizio
Keyword(s):  
Quantum Fluctuations ◽  
Gutzwiller Approximation

scholarly journals Inhomogeneous Gutzwiller approximation with random phase fluctuations for the Hubbard model

2003 ◽  
Vol 67 (8) ◽  
Author(s):  
G. Seibold ◽  
F. Becca ◽  
J. Lorenzana
Keyword(s):  
Hubbard Model ◽  
Random Phase ◽  
Phase Fluctuations ◽  
Gutzwiller Approximation

Quantum Fluctuations due to Spinons, Polarons, and Stripes in the Two-Dimensional Hubbard Model

2009 ◽  
Vol 103 (11) ◽  
Author(s):  
Norikazu Tomita ◽  
Shuji Watanabe
Keyword(s):  
Hubbard Model ◽  
Quantum Fluctuations ◽  
Two Dimensional

scholarly journals Quantum fluctuations in the spiral phase of the Hubbard model

1995 ◽  
Vol 52 (16) ◽  
pp. R11557-R11560 ◽  
Author(s):  
C. Zhou ◽  
H. J. Schulz
Keyword(s):  
Hubbard Model ◽  
Quantum Fluctuations ◽  
Spiral Phase
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