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We introduce a simple two-level boson model with the same energy surface as the Q-consistent Interacting Boson Model Hamiltonian. The model can be diagonalized for large number of bosons and the results used to check analytical finite-size…

Nuclear Theory · Physics 2007-05-23 J. Vidal , J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos

We propose a relationship between thermodynamic phase transitions and ground-state quantum phase transitions in systems with variable Hamiltonian parameters. It is based on a link between zeros of the canonical partition function at complex…

Nuclear Theory · Physics 2009-11-10 Pavel Cejnar , Stefan Heinze , Jan Dobes

We consider quantum chains whose Hamiltonians are perturbations by interactions of short range of a Hamiltonian that does not couple the degrees of freedom located at different sites of the chain and has a strictly positive energy gap above…

Mathematical Physics · Physics 2019-08-21 S. Del Vecchio , J. Fröhlich , A. Pizzo , S. Rossi

We solve numerically exactly the many-body 1D model of bosons interacting via short-range and dipolar forces and moving in the box with periodic boundary conditions. We show that the lowest energy states with fixed total momentum can be…

High-$K$ isomeric states in even-even and odd-mass nuclei are described within a mean-field framework with full blocking and using the finite range Gogny force. Theoretical calculations of low energy spectra of several nuclei across the…

Nuclear Theory · Physics 2023-12-06 L. M. Robledo

In this paper we consider an interacting Bose gas at zero temperature, constrained to a finite box and in the mean field limiting regime. The N gas particles interact through a pair potential of positive type and with an ultraviolet…

Mathematical Physics · Physics 2016-05-23 Alessandro Pizzo

Experimental data on $^{96}$Zr indicate coexisting spherical and deformed structures with small mixing amplitudes. We investigate the properties of the low-lying collective states of $^{96}$Zr based on the collective quadrupole Bohr…

Nuclear Theory · Physics 2019-03-27 D. A. Sazonov , E. A. Kolganova , T. M. Shneidman , R. V. Jolos , N. Pietralla , W. Witt

Generalized hydrodynamics (GHD) is a recent theoretical approach that is becoming a go-to tool for characterizing out-of-equilibrium phenomena in integrable and near-integrable quantum many-body systems. Here, we benchmark its performance…

Quantum Gases · Physics 2024-04-23 R. S. Watson , S. A. Simmons , K. V. Kheruntsyan

Homogeneous Boltzmann-type equations are an established tool for modelling interacting multi-agent systems in sociophysics by means of the principles of statistical mechanics and kinetic theory. A customary implicit assumption is that…

Physics and Society · Physics 2026-03-27 Andrea Tosin

Accounting for Coriolis mixing of experimentally known rotational bands with $K^{\pi}< 3^+$, non-adiabatic effects in energy and electric characteristics of excited states are investigated, within phenomenological model. The energy and wave…

Nuclear Theory · Physics 2015-05-29 P. N. Usmanov , A. A. Okhunov , H. Abu Kassim , U. S. Salikhbaev

An effective Hamiltonian describing interaction between generic "fast" and a "slow" systems is obtained in the strong interaction limit. The result is applied for studying the effect of quantum phase transition as a bifurcation of the…

Quantum Physics · Physics 2009-11-13 Isabel Sainz , Andrei B. Klimov , Luis Roa

A new two-step renormalization procedure is proposed. In the first step, the effects of high-energy states are considered in the conventional (Feynman) perturbation theory. In the second step, the coupling to many-body states is eliminated…

High Energy Physics - Theory · Physics 2009-10-30 Koji Harada , Atsushi Okazaki

The $(2+1)$-dimensional $q=3$ Potts model was simulated with the exact diagonalization method. In the ordered phase, the elementary excitations (magnons) are attractive, forming a series of bound states in the low-energy spectrum. We…

Statistical Mechanics · Physics 2017-04-05 Yoshihiro Nishiyama

Ionized geocosmic media parameters in a thermal and a subthermal range of energy have a number of unique features. The photoresonance plasma that is formed by optical excitation of the lowest excited (resonance) atomic states is one example…

The phenomenon of shape coexistence is studied in the Relativistic Hartree-Bogoliubov framework. Standard relativistic mean-field effective interactions do not reproduce the ground state properties of neutron-deficient Pt-Hg-Pb isotopes. It…

Nuclear Theory · Physics 2009-11-07 T. Niksic , D. Vretenar , P. Ring , G. A. Lalazissis

Starting from the Fock space representation of hadron bound states in a quark model, a change of representation is implemented by a unitary transformation such that the composite hadrons are redescribed by elementary-particle field…

High Energy Physics - Phenomenology · Physics 2010-11-19 D. Hadjimichef , G. Krein , S. Szpigel , J. S. da Veiga

The calculation of molecular excited states is critically important to decipher a plethora of molecular properties. In this manuscript, we develop an equation of motion formalism on top of a bi-exponentially parametrized ground state…

Chemical Physics · Physics 2024-01-09 Anish Chakraborty , Pradipta Kumar Samanta , Rahul Maitra

We derive a new formula for excited many-body eigenstates of the approximate Hamiltonian of Lee, Huang, and Yang, which describes the weakly interacting bose gas in a periodic box. Our formula utilizes a non-Hermitian transform to isolate a…

Mathematical Physics · Physics 2021-12-17 Stephen Sorokanich

Electron-electron correlation forms the basis of difficulties encountered in many-body physics. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in the correlation. In an…

Atomic Physics · Physics 2021-03-17 E. Jobunga

Inspired by holographic Wilsonian renormalization, we consider coarse graining a quantum system divided between short distance and long distance degrees of freedom, coupled via the Hamiltonian. Observations using purely long distance…

High Energy Physics - Theory · Physics 2018-08-01 Cesar Agon , Vijay Balasubramanian , Skyler Kasko , Albion Lawrence