Diagonal Spin Basis (DSB) as a Completely Symmetrized Description of Interacting Fermions

2003 ◽  
Author(s):  
Sergey M. Sikach
Keyword(s):  
Spin Basis

scholarly journals np-Pair Correlations in the Isovector Pairing Model

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1405
Author(s):  
Feng Pan ◽  
Yingwen He ◽  
Lianrong Dai ◽  
Chong Qi ◽  
Jerry P. Draayer
Keyword(s):  
Binding Energy ◽  
Occupation Number ◽  
Mean Field ◽  
Energy Difference ◽  
Binding Energies ◽  
Pair Correlations ◽  
Isospin Symmetry Breaking ◽  
Pairing Model ◽  
Proton Pairing ◽  
Spin Basis

A diagonalization scheme for the shell model mean-field plus isovector pairing Hamiltonian in the O(5) tensor product basis of the quasi-spin SUΛ(2) ⊗ SUI(2) chain is proposed. The advantage of the diagonalization scheme lies in the fact that not only can the isospin-conserved, charge-independent isovector pairing interaction be analyzed, but also the isospin symmetry breaking cases. More importantly, the number operator of the np-pairs can be realized in this neutron and proton quasi-spin basis, with which the np-pair occupation number and its fluctuation at the J = 0+ ground state of the model can be evaluated. As examples of the application, binding energies and low-lying J = 0+ excited states of the even–even and odd–odd N∼Z ds-shell nuclei are fit in the model with the charge-independent approximation, from which the neutron–proton pairing contribution to the binding energy in the ds-shell nuclei is estimated. It is observed that the decrease in the double binding-energy difference for the odd–odd nuclei is mainly due to the symmetry energy and Wigner energy contribution to the binding energy that alter the pairing staggering patten. The np-pair amplitudes in the np-pair stripping or picking-up process of these N = Z nuclei are also calculated.

scholarly journals Optical and spin-optical superpositions modulated by Aharonov–Bohm effect

2017 ◽  
Vol 15 (04) ◽  
pp. 1750028 ◽  
Author(s):  
Thiago Prudêncio
Keyword(s):  
Coherent State ◽  
Spin State ◽  
Qubit State ◽  
Nonclassical States ◽  
Dissipative Case ◽  
Quantum Optical ◽  
And Control ◽  
Aharonov Bohm ◽  
Manipulation And Control ◽  
Spin Basis

Generation of Aharonov–Bohm (AB) phase has achieved a state-of-the-art in mesoscopic systems with manipulation and control of the AB effect. The possibility of transfer information encoded in such systems to nonclassical states of light increases the possible scenarios where the information can be manipulated and transferred. In this paper, we propose a quantum transfer of the AB phase generated in a spintronic device, a topological spin transistor (TST), to an quantum optical device, a coherent state superposition in high-Q cavity and discuss optical and spin-optical superpositions in the presence of an AB phase. We demonstrate that the AB phase generated in the TST can be transferred to the coherent state superposition, considering the interaction with the spin state and the quantum optical manipulation of the coherent state superposition. We show that these cases provide examples of two-qubit states modulated by AB effect and that the phase parameter can be used to control the degree of rotation of the qubit state. We also show under a measurement on the spin basis, an optical one-qubit state that can be modulated by the AB effect. In these cases, we consider a dispersive interaction between a coherent state and a spin state with an acquired AB phase and also discuss a dissipative case where a given Lindblad equation is achieved and solved.

The geometric phase and the spin-statistics relation

2010 ◽  
Vol 466 (2122) ◽  
pp. 2917-2932 ◽  
Author(s):  
P. Bandyopadhyay
Keyword(s):  
Geometric Phase ◽  
Degrees Of Freedom ◽  
Berry Phase ◽  
Scalar Particle ◽  
Quantum Spin ◽  
Point Of View ◽  
Stochastic Mechanics ◽  
Magnetic Flux Quantum ◽  
Spin Basis ◽  
Time Point

The exchange phase for two spins is studied here from the point of view of the quantization of a fermion in the framework of Nelson’s stochastic mechanics. This introduces a direction vector attached to a space–time point depicting the spin degrees of freedom. In this formalism, a fermion appears as a scalar particle attached with a magnetic-flux quantum, and a quantum spin can be described in terms of an SU(2) gauge bundle. This helps us to recast the Berry–Robbins formalism where the exchange phase appears as an unfamiliar geometric phase arising out of the ‘exchange rotation’ in a transported spin basis in terms of gauge currents. However, for polarized fermions, the exchange phase is found to be given by the Berry phase.

scholarly journals Optimal spin basis in polarized photon linear colliders

1998 ◽  
Vol 58 (1) ◽  
Author(s):  
Michihiro Hori ◽  
Yuichiro Kiyo ◽  
Takashi Nasuno
Keyword(s):  
Linear Colliders ◽  
Spin Basis

scholarly journals Transfer matrix for Kogut-Susskind fermions in the spin basis

2013 ◽  
Vol 87 (1) ◽  
Author(s):  
Sergio Caracciolo ◽  
Fabrizio Palumbo
Keyword(s):  
Transfer Matrix ◽  
Spin Basis

scholarly journals THE FREE DIRAC SPINORS OF THE SPIN BASIS ON THE DE SITTER EXPANDING UNIVERSE

2011 ◽  
Vol 26 (22) ◽  
pp. 1613-1619 ◽  
Author(s):  
ION I. COTĂESCU
Keyword(s):  
Energy Operator ◽  
Global Behavior ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Specific Term ◽  
Sitter Spacetime ◽  
The One ◽  
Phase Functions ◽  
Spin Basis ◽  
Dirac Spinors

It is shown that on the de Sitter spacetime the global behavior of the free Dirac spinors in momentum representation is determined by several phase factors which are functions of momentum with special properties. Such suitable phase functions can be chosen for writing down the free Dirac quantum modes of the spin basis that are well-defined even for the particles at rest in the moving local charts where the modes of the helicity basis remain undefined. Under quantization, these modes lead to a basis in which the one-particle operators keep their usual forms apart from the energy operator which lays out a specific term depending on the concrete phase function one uses.

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