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Recently observed Pauli crystals are structures formed by trapped ultracold atoms with the Fermi statistics. Interactions between these atoms are switched off, so their relative positions are determined by joined action of the trapping…

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 predicted and observed Pauli crystals are structures formed by trapped ultracold non-interacting particles obeying Fermi statistics. The relative positions of the particles are determined by the trapping potential and the Pauli…

Quantum Physics · Physics 2021-11-24 Filip Gampel , Mariusz Gajda , Magdalena Załuska-Kotur , Jan Mostowski

Pauli crystals are unique geometric structures of non-interacting fermions, resembling crystals, that emerge solely from Fermi statistics and confinement. Unlike genuine quantum crystals that arise from interparticle interactions, Pauli…

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…

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

Pauli blocking of spontaneous emission is responsible for the stability of atoms. Higher electronic orbitals cannot decay to lower-lying states if they are already occupied -- this is Pauli blocking due to occupation of internal states.…

Quantum Physics · Physics 2021-12-13 Yair Margalit , Yu-Kun Lu , Furkan Cagri Top , Wolfgang Ketterle

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

We investigate the structural properties and melting behavior of two-dimensional ion crystals in an RF trap, focusing on the effects of ion temperature and trap potential symmetry. We identify distinct crystal structures that form under…

Atomic Physics · Physics 2025-03-05 Boris V. Pashinsky , Alexander Kato , Boris B. Blinov

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 theory of thermal fluctuations in crystalline membranes is put under scrutiny. In particular, the two critical regimes of the renormalisation group diagram, which are often left out of the discussion because of their instability in one…

Soft Condensed Matter · Physics 2026-05-19 Olivier Coquand

We examine the time-dependent dynamics of ion crystals in radiofrequency traps. The problem of stable trapping of general three-dimensional crystals is considered and the validity of the pseudopotential approximation is discussed. We derive…

Quantum Physics · Physics 2012-10-30 H. Landa , M. Drewsen , B. Reznik , A. Retzker

Pauli blocking of spontaneous emission by a single excited-state atom has been predicted to be dramatic at low temperature when the Fermi energy $E_\mathrm{F}$ exceeds the recoil energy $E_\mathrm{R}$. The photon scattering rate of a…

Quantum Gases · Physics 2012-01-11 B. Shuve , J. H. Thywissen

For a gas trapped in a harmonic potential, the sloshing (or Kohn) mode is undamped and its frequency coincides with the trap frequency, independently of the statistics, interaction and temperature of the gas. However, experimental trap…

Quantum Gases · Physics 2012-09-04 Pierre-Alexandre Pantel , Dany Davesne , Silvia Chiacchiera , Michael Urban

We theoretically investigate the process of splitting two-ion crystals in segmented Paul traps, i.e. the structural transition from two ions confined in a common well to ions confined in separate wells. The precise control of this process…

Atomic Physics · Physics 2015-06-18 H. Kaufmann , T. Ruster , C. T. Schmiegelow , F. Schmidt-Kaler , U. G. Poschinger

The normal modes of a trapped ion crystal are derived using an approach based on the Hermitian properties of the systems dynamical matrix. This method is equivalent to the standard Bogoliubov method, but for classical systems it is arguably…

Atomic Physics · Physics 2020-10-28 Daniel H. E. Dubin

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

Fluid states of matter can locally exhibit characteristics of the onset of crystalline order. Traditionally this has been theoretically investigated using multipoint correlation functions. However new measurement techniques now allow…

Strongly Correlated Electrons · Physics 2020-03-16 Mikael Fremling , Joost Slingerland

Systems of highly degenerate ordered or frozen state may exhibit inverse melting (reversible crystallization upon heating) or inverse freezing (reversible glass transition upon heating). This phenomena is reviewed, and a list of…

Statistical Mechanics · Physics 2009-11-11 Nurith Schupper , Nadav M. Shnerb

The freezing of colloidal suspensions is encountered in many natural and engineering processes. It can be harnessed through a process known as ice templating, to produce porous materials and composites exhibiting unique functional…

Applied Physics · Physics 2018-04-25 Audrey Lasalle , Christian Guizard , Eric Maire , Jérôme Adrien , Sylvain Deville
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