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Related Concept Videos

Fermi Level Dynamics01:12

Fermi Level Dynamics

The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Ferromagnetism01:31

Ferromagnetism

Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
Fermi Level01:18

Fermi Level

The Fermi-Dirac function is represented by an S-shaped curve indicating the probability of an energy state being occupied by an electron at a given temperature. The Fermi level is the energy level at which there is a fifty percent chance of finding an electron, and it is positioned between the lower-energy valence band and the higher-energy conduction band.
At absolute zero temperature, electrons fill all energy states up to the Fermi level, leaving upper states empty. As the temperature rises,...
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...
Atomic Radii and Effective Nuclear Charge03:08

Atomic Radii and Effective Nuclear Charge

The elements in groups of the periodic table exhibit similar chemical behavior. This similarity occurs because the members of a group have the same number and distribution of electrons in their valence shells.

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Related Experiment Video

Updated: Jul 13, 2026

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

Strongly correlated fermions after a quantum quench.

S R Manmana1, S Wessel, R M Noack

  • 1Institut für Theoretische Physik III, Universität Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany.

Physical Review Letters
|August 7, 2007
PubMed
Summary

Strongly correlated fermions in 1D can reach indistinguishable states from different initial conditions. The resulting steady state is nonthermal, regardless of system integrability.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Systems
  • Statistical Mechanics

Background:

  • Strongly correlated systems exhibit complex behaviors due to interactions.
  • Understanding non-equilibrium dynamics is crucial for quantum many-body physics.
  • Fermionic systems on lattices are fundamental models in condensed matter.

Purpose of the Study:

  • Investigate the time evolution of strongly correlated spinless fermions after interaction changes.
  • Determine if different initial states can lead to indistinguishable observables.
  • Characterize the nature of the resulting quasistationary state.

Main Methods:

  • Adaptive time-dependent density-matrix renormalization group (DMRG) method.
  • Simulation of spinless fermions on a one-dimensional lattice.
  • Analysis of time evolution under altered interaction strengths.

Main Results:

  • Two distinct initial states (metallic and insulating) result in indistinguishable observables after relaxation for specific parameters.
  • The emergent quasistationary state is found to be nonthermal.
  • This nonthermal behavior is observed in both integrable and nonintegrable system variants.

Conclusions:

  • The system exhibits a form of hidden universality where distinct initial conditions converge to a common nonthermal state.
  • Nonthermal steady states can arise in interacting fermionic systems out of equilibrium.
  • The adaptive time-dependent DMRG method is effective for studying such non-equilibrium phenomena.