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Composite particles made of two fermions can be treated as ideal elementary bosons as long as the constituent fermions are sufficiently entangled. In that case, the Pauli principle acting on the parts does not jeopardise the bosonic…

Quantum Physics · Physics 2014-11-26 Malte C. Tichy , P. Alexander Bouvrie , Klaus Mølmer

The Hubbard model of bosons on two dimensional lattices with a lowest flat band is discussed. In these systems there is a critical density, where the ground state is known exactly and can be represented as a charge density wave. Above this…

Quantum Gases · Physics 2015-08-18 Petra Pudleiner , Andreas Mielke

We derive a dynamical mean-field theory for mixtures of interacting bosons and fermions on a lattice (BF-DMFT). The BF-DMFT is a comprehensive, thermodynamically consistent framework for the theoretical investigation of Bose-Fermi mixtures…

Quantum Gases · Physics 2022-06-15 Krzysztof Byczuk , Dieter Vollhardt

Simulating interactions between fermions and bosons is central to understanding correlated phenomena, yet these systems are inherently difficult to treat classically. Previous quantum algorithms for fermion-boson models exhibit computation…

Quantum Physics · Physics 2026-01-27 Harriet Apel , Burak Şahinoğlu

We show that a theory of complex scattering between many-body (Fock) states can be constructed such that its classical limit is a canonical transformation thus encoding quantum interference in the semiclassical form of the associated…

Quantum Physics · Physics 2015-10-05 Thomas Engl , Juan Diego Urbina , Quirin Hummel , Klaus Richter

The low-energy excitations of filled Landau levels (LL's) of electrons involve promotion of a single electron from the topmost filled LL to the lowest empty LL. These are called excitons or collective modes. The incompressible fractional…

Condensed Matter · Physics 2009-10-28 R. K. Kamilla , X. G. Wu , J. K. Jain

In contrast to classical physics, quantum mechanics divides particles into two classes-bosons and fermions-whose exchange statistics dictate the dynamics of systems at a fundamental level. In two dimensions quasi-particles known as 'anyons'…

An even number of fermions can behave in a bosonic way. The simplest scenario involves two fermions which can form a single boson. But four fermions can either behave as two bipartite bosons or further assemble into a single four-partite…

Quantum Physics · Physics 2019-09-11 Zakarya Lasmar , P. Alexander Bouvrie , Adam S. Sajna , Malte C. Tichy , Pawel Kurzynski

We compare the groundstate energies of bosons and fermions with the same form of the Hamiltonian. If both are noninteracting, the groundstate energy of bosons is always lower, owing to Bose-Einstein Condensation. However, the comparison is…

Statistical Mechanics · Physics 2013-10-07 Wenxing Nie , Hosho Katsura , Masaki Oshikawa

The present lectures contain an introduction to possible new physics beyond the Standard Model. Having in mind first of all accelerator experiments of the nearest future we concentrate on supersymmetry, a new symmetry that relates bosons…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. I. Kazakov

An effective Hamiltonian and equations of motion for treating both the resonant dipole-dipole interaction between two-level atoms and the resonant atom-field interaction are derived, which can suitably be used for studying the influence of…

Quantum Physics · Physics 2016-08-16 D. -G. Welsch , Ho Trung Dung , L. Knöll

Hartree-Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization…

Mathematical Physics · Physics 2020-06-01 Niels Benedikter

We address the problem of the bosonization of finite fermionic systems with two different approaches. First we work in the path integral formalism, showing how a truly bosonic effective action can be derived from a generic fermionic one…

Nuclear Theory · Physics 2007-05-23 Maria B. Barbaro , Maria R. Quaglia

Octupole deformation and collective excitations are studied within the interacting boson model. By using the results of the self-consistent mean-field calculations with a universal energy density functional, the Hamiltonian of the…

Nuclear Theory · Physics 2023-10-26 K. Nomura

In this article we develop the framework to describe Bose-Fermi mixtures of magnetic atoms, focusing on the interaction of bosonic self-bound dipolar quantum droplets with a small number of fermions. We find an attractive interaction…

Quantum Gases · Physics 2018-09-26 Matthias Wenzel , Tilman Pfau , Igor Ferrier-Barbut

A fermion-boson-type Composite Model is proposed. Elementary fields are only one kind of spin-1/2 and spin-0 {\bf preon}. Both are in the global supersymmetric pair with the common electric charge of e/6 and belong to the fundamental…

High Energy Physics - Phenomenology · Physics 2007-07-10 Takeo Matsushima

The calculations of the elementary atom (the Coulomb bound state of elementary particles) interaction with the atom of matter, which are performed in the Born approximation, are reviewed. We first discuss the nonrelativistic approach and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stanislaw Mrowczynski

Confined quantum systems involving $N$ identical interacting fermions are found in many areas of physics, including condensed matter, atomic, nuclear and chemical physics. In a previous series of papers, a manybody perturbation method that…

Quantum Physics · Physics 2015-06-18 D. K. Watson

We study a mixture of one-dimensional bosons and spinless fermions at incommensurate filling using phenomenological bosonization and Green's functions techniques. We derive the relation between the parameters of the microscopic Hamiltonian…

Quantum Gases · Physics 2010-05-31 E. Orignac , M. Tsuchiizu , Y. Suzumura

Although semiconductor Bloch equations have been widely used for decades to address ultrafast optical phenomena in semiconductors, they have a few important drawbacks: (i) Coulomb terms between free electron-hole pairs require Hartree-Fock…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 M. Combescot , O. Betbeder-Matibet , M. N. Leuenberger