Variational Many Body States for the U=∞ Hubbard Model

1991 ◽  
Vol 05 (10) ◽  
pp. 1791-1800 ◽  
Author(s):  
C. Stephen Hellberg ◽  
E. J. Mele
Keyword(s):  
Hubbard Model ◽  
General Class ◽  
Exact Results ◽  
Strongly Correlated ◽  
Many Body ◽  
Local Constraints ◽  
Double Occupancy ◽  
One Dimensional ◽  
Lattice Fermions ◽  
The One

We study a general class of variational wavefunctions for strongly correlated lattice fermions. The wavefunctions considered here automatically satisfy local constraints of no double occupancy and include correlations between opposite spin particles in a very physical way. We calculate the energy and correlation functions for the one dimensional U=∞ Hubbard model, where a comparison with exact results is made. We briefly report on preliminary results for the t-J model.

scholarly journals Cavity assisted measurements of heat and work in optical lattices

Quantum ◽  
2018 ◽  
Vol 2 ◽  
pp. 42 ◽  
Author(s):  
Louis Villa ◽  
Gabriele De Chiara
Keyword(s):  
Ultracold Atoms ◽  
Optical Lattices ◽  
Photon Number ◽  
Strongly Correlated ◽  
Body System ◽  
Many Body ◽  
Optical Cavities ◽  
One Dimensional ◽  
Interaction Terms ◽  
The One

We propose a method to experimentally measure the internal energy of a system of ultracold atoms trapped in optical lattices by coupling them to the fields of two optical cavities. We show that the tunnelling and self-interaction terms of the one-dimensional Bose-Hubbard Hamiltonian can be mapped to the field and photon number of each cavity, respectively. We compare the energy estimated using this method with numerical results obtained using the density matrix renormalisation group algorithm. Our method can be employed for the assessment of power and efficiency of thermal machines whose working substance is a strongly correlated many-body system.

scholarly journals CRITICAL EXPONENTS IN THE ONE-DIMENSIONAL HUBBARD MODEL

1994 ◽  
Vol 08 (04) ◽  
pp. 403-415 ◽  
Author(s):  
Holger Frahm ◽  
V. E. Korepin
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Asymptotic Behaviour ◽  
Hubbard Model ◽  
Critical Exponents ◽  
Correlation Functions ◽  
Exact Results ◽  
Quantum Field ◽  
One Dimensional ◽  
The One

Exact Bethe Ansatz results on the spectrum of large but finite Hubbard chains in conjunction with methods from conformal quantum field theory can be used to obtain exact results for the asymptotic behaviour of correlation functions. We review this method and discuss some interesting consequences of the results.

scholarly journals Statistically related many-body localization in the one-dimensional anyon Hubbard model

2020 ◽  
Vol 102 (5) ◽  
Author(s):  
Guo-Qing Zhang ◽  
Dan-Wei Zhang ◽  
Zhi Li ◽  
Z. D. Wang ◽  
Shi-Liang Zhu
Keyword(s):  
Hubbard Model ◽  
Many Body ◽  
One Dimensional ◽  
The One

scholarly journals Antiferromagnetic fluctuations in the one-dimensional Hubbard model

AIP Advances ◽  
2020 ◽  
Vol 10 (12) ◽  
pp. 125127
Author(s):  
Václav Janiš ◽  
Antonín Klíč ◽  
Jiawei Yan
Keyword(s):  
Hubbard Model ◽  
One Dimensional ◽  
The One
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