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All matter is made up of fermions -- one of the fundamental type of particles in nature. Fermions follow the Pauli exclusion principle, stating that two or more identical fermions cannot occupy the same quantum state. Antisymmetry of the…

Quantum Physics · Physics 2023-07-26 Lucas Hackl , Dayang Li , Nika Akopian , Matthias Christandl

By the Pauli exclusion principle no quantum state can be occupied by more than one electron. One can put it as a constraint on the electron density matrix that bounds its eigenvalues by 1. Shortly after its discovery the Pauli principle has…

Quantum Physics · Physics 2009-11-13 M. Altunbulak , A. Klyachko

The Pauli exclusion principle in quantum mechanics has a profound influence on the structure of matter and on interactions between fermions. Almost 30 years ago it was predicted that the Pauli exclusion principle could lead to a suppression…

The Pauli exclusion principle is a fundamental law underpinning the structure of matter. Due to their anti-symmetric wave function, no two fermions can occupy the same quantum state. Here, we report on the direct observation of the Pauli…

The best known manifestation of the Fermi-Dirac statistics is the Pauli exclusion principle: no two identical fermions can occupy the same one-particle state. This principle enforces high order correlations in systems of many identical…

"What are the consequences ... that Fermi particles cannot get into the same state ... " R. P. Feynman wrote of the Pauli exclusion principle, "In fact, almost all the peculiarities of the material world hinge on this wonderful fact." In…

Quantum Physics · Physics 2020-04-17 Scott E. Smart , David I. Schuster , David A. Mazziotti

The Pauli exclusion principle can be stated as inequality $<\psi|\rho|\psi>\le 1$ for the electron density matrix $\rho$. Nowadays it is replaced by skew symmetry of the multi-electron wave function. The replacement leads to numerous…

Quantum Physics · Physics 2009-04-15 Alexander A. Klyachko

The Pauli exclusion principle forbids indistinguishable fermions to occupy the same quantum mechanical state. Its implications are profound and it for example accounts for the electronic shell structure of atoms. Here we perform…

Quantum Gases · Physics 2021-11-22 Amita B. Deb , Niels Kjærgaard

We study quantum many-body states of immanons, hypothetical particles that obey an exchange symmetry defined for more than two participating particles. Immanons thereby generalize bosons and fermions, which are defined by their behavior…

Quantum Physics · Physics 2017-08-23 Malte C. Tichy , Klaus Mølmer

The Pauli exclusion principle is one of the most fundamental manifestations of quantum statistics. Here, we report on its local observation in a spin-polarized degenerate gas of fermions in an optical lattice. We probe the gas with…

The Pauli exclusion principle induces a repulsion between composite systems of identical fermions such as colliding atomic nuclei. Our goal is to study how heavy-ion fusion is impacted by this "Pauli repulsion". We propose a new microscopic…

Nuclear Theory · Physics 2017-03-08 C. Simenel , A. S. Umar , K. Godbey , M. Dasgupta , D. J. Hinde

Dynamics of classical scattering in the system of fermions is studied. The model is based on the coherent state representation and the equations of motion for fermions are derived from the time-dependent variational principle. It is found…

chao-dyn · Physics 2016-08-15 S. Drożdż , J. Okołowicz , M. Ploszajczak , E. Caurier , T. Srokowski

It has been conjectured that the Pauli exclusion principle alone may be responsible for a particular geometric arrangement of confined systems of identical fermions even when there is no interaction between them. These geometric structures,…

Quantum Physics · Physics 2021-09-10 Orion Ciftja , Josep Batle

Postulated by Pauli to explain the electronic structure of atoms and molecules, the exclusion principle establishes an upper bound of 1 for the fermionic natural occupation numbers $\{n_i\}$. A recent analysis of the pure…

Quantum Physics · Physics 2015-07-17 Carlos L. Benavides-Riveros , Michael Springborg

The Pauli exclusion principle is a constraint on the natural occupation numbers of fermionic states. It has been suspected since at least the 1970's, and only proved very recently, that there is a multitude of further constraints on these…

Quantum Physics · Physics 2013-01-25 Christian Schilling , David Gross , Matthias Christandl

We study statistical signatures of composite bosons made of two fermions using a new many-body approach. Extending number-states to composite bosons, two-particle correlations as well as the dispersion of the probability distribution are…

Quantum Physics · Physics 2009-03-17 M. Combescot , F. Dubin , M. A. Dupertuis

At ultracold temperatures, the Pauli exclusion principle suppresses collisions between identical fermions. This has motivated the development of atomic clocks using fermionic isotopes. However, by probing an optical clock transition with…

The consequences of enforcing permutational symmetry, as required by the Pauli principle (spin-statistical theorem), on the state space of molecular ensembles interacting with the quantized radiation mode of a cavity are discussed. The…

Quantum Physics · Physics 2023-11-29 Tamás Szidarovszky

A manifestation of the Pauli Exclusion Principle is observed when fermions are trapped in the ground state of a 2D harmonic oscillator trap at very low temperatures. This non-interaction of fermions results in the formation of Pauli…

Statistical Mechanics · Physics 2022-03-15 Swarnava Mitra , Aditya Mishra

Recently, there has been a surge in the interest of non-equilibrium collective quantum models, where particle dispersion and spin are examples of effects taken into account. Here, we derive a kinetic plasma model con- taining fermion…

Plasma Physics · Physics 2015-06-15 J. Zamanian , M. Marklund , G. Brodin
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