scholarly journals Structural Statistical Quantifiers and Thermal Features of Quantum Systems

Entropy ◽  
2020 ◽  
Vol 23 (1) ◽  
pp. 19
Author(s):  
Flavia Pennini ◽  
Angelo Plastino ◽  
Angel Ricardo Plastino ◽  
Alberto Hernando
Keyword(s):  
Nuclear Physics ◽  
Quantum Systems ◽  
Fermion Model ◽  
Statistical Complexity ◽  
Thermal Features

This paper deals primarily with relatively novel thermal quantifiers called disequilibrium and statistical complexity, whose role is growing in different disciplines of physics and other sciences. These quantifiers are called L. Ruiz, Mancini, and Calvet (LMC) quantifiers, following the initials of the three authors who advanced them. We wish to establish information-theoretical bridges between LMC structural quantifiers and (1) Thermal Heisenberg uncertainties ΔxΔp (at temperature T); (2) A nuclear physics fermion model. Having achieved such purposes, we determine to what an extent our bridges can be extended to both the semi-classical and classical realms. In addition, we find a strict bound relating a special LMC structural quantifier to quantum uncertainties.

scholarly journals QUANTUM ROTATIONAL SPECTRA AND CLASSICAL ROTORS

2004 ◽  
Vol 13 (01) ◽  
pp. 127-132 ◽  
Author(s):  
MAREK MIŚKIEWICZ ◽  
ANDRZEJ GÓŹDŹ ◽  
JERZY DUDEK
Keyword(s):  
Nuclear Physics ◽  
Quantum Systems ◽  
Symmetry Point ◽  
Rotational Spectra ◽  
Point Groups

We consider the generalized rotor Hamiltonians capable of describing quantum systems invariant with respect to symmetry point-groups that go beyond the usual D2-symmetry of a tri-axial rotor. We discuss the canonical de-quantisation procedure to obtain the classical analogs of the original quantum Hamiltonians. Classical and quantum solutions to the Hamiltonians relevant in the nuclear physics applications are illustrated and compared using the 'usual' (D2) and an 'exotic' (Td) symmetries.

scholarly journals A generalized statistical complexity measure: Applications to quantum systems

2009 ◽  
Vol 50 (12) ◽  
pp. 123528 ◽  
Author(s):  
R. López-Ruiz ◽  
Á. Nagy ◽  
E. Romera ◽  
J. Sañudo
Keyword(s):  
Quantum Systems ◽  
Complexity Measure ◽  
Statistical Complexity

scholarly journals Application of the theory of open quantum systems in nuclear physics

2019 ◽  
Vol 49 ◽  
pp. 1960008
Author(s):  
V. V. Sargsyan ◽  
Z. Kanokov ◽  
G. G. Adamian ◽  
N. V. Antonenko
Keyword(s):  
Nuclear Physics ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Reduced Density Matrix ◽  
Quantum Model ◽  
Matrix Formalism ◽  
Capture Process ◽  
Projectile Nucleus ◽  
Density Matrix Formalism ◽  
Reduced Density

Projectile-nucleus capture by a target nucleus at bombarding energies in the vicinity of the Coulomb barrier is treated with the reduced-density-matrix formalism. The effects of dissipation and fluctuations on the capture process are taken self-consistently into account within the quantum model suggested. The excitation functions for the capture in the reactions [Formula: see text]O, [Formula: see text]F, [Formula: see text]Mg, [Formula: see text]Si, [Formula: see text]S, [Formula: see text]Ca, [Formula: see text]Ti, [Formula: see text]Cr [Formula: see text] [Formula: see text]Pb are calculated and compared with the experimental data.

ODD NUCLEI AND SHAPE PHASE TRANSITIONS: THE ROLE OF THE UNPAIRED FERMION

2011 ◽  
Vol 20 (02) ◽  
pp. 207-212 ◽  
Author(s):  
L. FORTUNATO ◽  
C.E. ALONSO ◽  
J.M. ARIAS ◽  
M. BÖYÜKATA ◽  
A. VITTURI
Keyword(s):  
Phase Transitions ◽  
Energy Spectrum ◽  
Critical Points ◽  
Quantum Systems ◽  
Interacting Boson Model ◽  
Fermion Model ◽  
Finite Quantum Systems ◽  
Boson Model ◽  
Spherical Limit

Shape phase transitions in even and odd systems are reviewed within the frameworks of the Interacting Boson Model(IBM) and the Interacting Boson Fermion Model(IBFM), respectively and compared with geometric models when available. We discuss, in particular, the case of an odd j = 3/2 particle coupled to an even-even boson core that undergoes a transition from the spherical limit U(5) to the γ-unstable limit O(6). Energy spectrum and electromagnetic transitions, in correspondence of the critical point, display behaviors qualitatively similar to those of the even core and they agree qualitatively with the model based on the E (5/4) boson-fermion symmetry. We describe then the UBF(5) to SUBF(3) transition when a fermion is allowed to occupy the orbits j = 1/2, 3/2, 5/2. The additional particle characterizes the properties at the critical points in finite quantum systems.

scholarly journals Correlations between Complexity and Entanglement in a One-Dimensional XY Model

2020 ◽  
Vol 2 (2) ◽  
pp. 305-313 ◽  
Author(s):  
V. M. Apel ◽  
Douglas Mundarain ◽  
Flavia Pennini ◽  
Angelo Plastino
Keyword(s):  
Condensed Matter ◽  
Quantum Systems ◽  
Xy Model ◽  
One Dimensional ◽  
Interesting Insight ◽  
Statistical Complexity ◽  
Condensed Matter Theory ◽  
Matter Theory ◽  
Representative System ◽  
Degree Of Entanglement

Many people believe that the study of complex quantum systems may be simplified by first analyzing the static and dynamic entanglement present in those systems [Phys. Rev. A 66 (2002) 032110]. In this paper, we attempt to complement such notion by adding an order–disorder quantifier called statistical complexity and studying how it is correlated with the degree of entanglement as measured by the concurrence quantifier. We perform such an analysis with reference to a representative system chosen from condensed matter theory, the so-called X Y model. Some interesting insight is obtained as the concurrence and the complexity become correlated in an unexpected fashion.

Application of the theory of open quantum systems to nuclear physics problems

2016 ◽  
Vol 47 (2) ◽  
pp. 157-205 ◽  
Author(s):  
V. V. Sargsyan ◽  
Z. Kanokov ◽  
G. G. Adamian ◽  
N. V. Antonenko
Keyword(s):  
Nuclear Physics ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum ◽  
Physics Problems

Nuclear Processes Related to the Ap Stars and the Heaviest Chemical Elements

1976 ◽  
Vol 32 ◽  
pp. 169-182
Author(s):  
B. Kuchowicz
Keyword(s):  
Nuclear Physics ◽  
Nuclear Reactions ◽  
Chemical Elements ◽  
Fission Products ◽  
Abundance Pattern ◽  
Isotopic Shifts ◽  
Processed Material ◽  
R Process ◽  
Ap Stars ◽  
Nuclear Processes

SummaryIsotopic shifts in the lines of the heavy elements in Ap stars, and the characteristic abundance pattern of these elements point to the fact that we are observing mainly the products of rapid neutron capture. The peculiar A stars may be treated as the show windows for the products of a recent r-process in their neighbourhood. This process can be located either in Supernovae exploding in a binary system in which the present Ap stars were secondaries, or in Supernovae exploding in young clusters. Secondary processes, e.g. spontaneous fission or nuclear reactions with highly abundant fission products, may occur further with the r-processed material in the surface of the Ap stars. The role of these stars to the theory of nucleosynthesis and to nuclear physics is emphasized.

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