Exactly solvable site-dependent Hubbard model

1999 ◽  
Vol 59 (7) ◽  
pp. 4553-4556 ◽  
Author(s):  
Feng Pan ◽  
J. P. Draayer
Keyword(s):  
Hubbard Model ◽  
Exactly Solvable

scholarly journals Exactly solvable extended Hubbard model

1996 ◽  
Vol 53 (4) ◽  
pp. R1685-R1688 ◽  
Author(s):  
D. F. Wang
Keyword(s):  
Hubbard Model ◽  
Extended Hubbard Model ◽  
Exactly Solvable

scholarly journals Bose–Einstein Condensation Processes with Nontrivial Geometric Multiplicities Realized via 𝒫𝒯−Symmetric and Exactly Solvable Linear-Bose–Hubbard Building Blocks

2021 ◽  
Vol 3 (3) ◽  
pp. 517-533
Author(s):  
Miloslav Znojil
Keyword(s):  
Hubbard Model ◽  
Building Blocks ◽  
Exceptional Point ◽  
Einstein Condensation ◽  
Real Spectrum ◽  
Geometric Multiplicity ◽  
Bose Einstein Condensation ◽  
Exactly Solvable ◽  
Linear Version ◽  
Bose Einstein

It is well known that, using the conventional non-Hermitian but PT−symmetric Bose–Hubbard Hamiltonian with real spectrum, one can realize the Bose–Einstein condensation (BEC) process in an exceptional-point limit of order N. Such an exactly solvable simulation of the BEC-type phase transition is, unfortunately, incomplete because the standard version of the model only offers an extreme form of the limit, characterized by a minimal geometric multiplicity K = 1. In our paper, we describe a rescaled and partitioned direct-sum modification of the linear version of the Bose–Hubbard model, which remains exactly solvable while admitting any value of K≥1. It offers a complete menu of benchmark models numbered by a specific combinatorial scheme. In this manner, an exhaustive classification of the general BEC patterns with any geometric multiplicity is obtained and realized in terms of an exactly solvable generalized Bose–Hubbard model.

APPLICATIONS OF A HARD-CORE BOSE–HUBBARD MODEL TO WELL-DEFORMED NUCLEI

2002 ◽  
Vol 16 (14n15) ◽  
pp. 2071-2077 ◽  
Author(s):  
YUYAN CHEN ◽  
FENG PAN ◽  
G. S. STOITCHEVA ◽  
J. P. DRAAYER
Keyword(s):  
Hubbard Model ◽  
Hard Core ◽  
Binding Energies ◽  
Excitation Energies ◽  
Deformed Nuclei ◽  
Exactly Solvable ◽  
Pu Isotopes ◽  
Experimental Values

An exactly solvable hard-core Bose–Hubbard model, which is equivalent to a mean-filed plus nearest-level pairing theory, for a description of well-deformed nuclei is used and applied to the actinide region. Binding energies and pairing excitation energies of 226–234 Th , 230–240 U , and 236–243 Pu isotopes are calculated and compared with the corresponding experimental values.

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