Boxed plane partitions as an exactly solvable boson model

Based on an exactly-solvable spin-boson model, the geometric phase (GP) of a system of two qubits collectively coupled to a quantum bath is investigated. In this scenario, the decomposition of GP into the sum of GP of the subsystem should be forbidden. We demonstrate that the environment-induced modifications of the GP usually include not only the pure decoherence effect, but also the information about the environment evolution. We also show the dependence of the GP upon the entangled initial state and extend it to the case of multi-qubits system.

Download Full-text

Vertex operators, t-boson model and weighted plane partitions in finite boxes

Modern Physics Letters B ◽

10.1142/s0217984918500616 ◽

2018 ◽

Vol 32 (05) ◽

pp. 1850061 ◽

Cited By ~ 1

Author(s):

Na Wang ◽

Ke Wu

Keyword(s):

Generating Functions ◽

Annihilation Operator ◽

Monodromy Matrix ◽

Creation Operator ◽

Vertex Operators ◽

Plane Partitions ◽

Boson Model ◽

The Creation ◽

Weighted Plane

We consider two different subjects: the algebra of Hall–Littlewood functions and t-boson model. Tsilevich and Sułkowski, respectively, give that the creation operator [Formula: see text] in the monodromy matrix of t-boson model can be represented by [Formula: see text], where [Formula: see text] and [Formula: see text] are vertex operators closely related to the Hall–Littlewood functions. In this paper, we obtain that the annihilation operator [Formula: see text] in the monodromy matrix and other relations of t-boson model can also be realized in the algebra of Hall–Littlewood functions. Meanwhile, we get that the generating functions of weighted plane partitions in finite boxes can be obtained from the operators [Formula: see text].

Download Full-text

Exactly solvable model of transitional nuclei based on dual algebraic structure for the three level pairing model in the framework of sdg interacting boson model

Nuclear Physics A ◽

10.1016/j.nuclphysa.2017.09.007 ◽

2018 ◽

Vol 969 ◽

pp. 114-137 ◽

Cited By ~ 1

Author(s):

M.A. Jafarizadeh ◽

Z. Ranjbar ◽

N. Fouladi ◽

M. Ghapanvari

Keyword(s):

Algebraic Structure ◽

Solvable Model ◽

Interacting Boson Model ◽

Exactly Solvable Model ◽

Exactly Solvable ◽

Pairing Model ◽

Boson Model

Download Full-text

Energy Levels and Electromagnetic Transition of 90-94mo Nuclei Using Ibm-1

10.32792/utq/utjsci/vol7/2/32 ◽

2020 ◽

pp. 149-152

Keyword(s):

Experimental Data ◽

Transition Probability ◽

Energy Levels ◽

Dynamical Symmetry ◽

Interacting Boson Model ◽

Excitation Energies ◽

Electromagnetic Transition ◽

Boson Model ◽

Energy States ◽

Good Agreement

The energy states for the J , b , ɤ bands and electromagnetic transitions B (E2) values for even – even molybdenum 90 – 94 Mo nuclei are calculated in the present work of "the interacting boson model (IBM-1)" . The parameters of the equation of IBM-1 Hamiltonian are determined which yield the best excellent suit the experimental energy states . The positive parity of energy states are obtained by using IBS1. for program for even 90 – 94 Mo isotopes with bosons number 5 , 4 and 5 respectively. The" reduced transition probability B(E2)" of these neuclei are calculated and compared with the experimental data . The ratio of the excitation energies of the 41+ to 21+ states ( R4/2) are also calculated . The calculated and experimental (R4/2) values showed that the 90 – 94 Mo nuclei have the vibrational dynamical symmetry U(5). Good agreement was found from comparison between the calculated energy states and electric quadruple probabilities B(E2) transition of the 90–94Mo isotopes with the experimental data .

Download Full-text