Roadmap on Atomtronics: State of the art and perspective
Atomtronics deals with matter-wave circuits of ultracold atoms manipulated through
magnetic or laser-generated guides with different shapes and intensities. In this way, new …
magnetic or laser-generated guides with different shapes and intensities. In this way, new …
Anderson transitions
The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …
systems is reviewed. The term “Anderson transition” is understood in a broad sense …
Topological phases of non-Hermitian systems
While Hermiticity lies at the heart of quantum mechanics, recent experimental advances in
controlling dissipation have brought about unprecedented flexibility in engineering non …
controlling dissipation have brought about unprecedented flexibility in engineering non …
Geometrical structure of Laplacian eigenfunctions
DS Grebenkov, BT Nguyen - siam REVIEW, 2013 - SIAM
We summarize the properties of eigenvalues and eigenfunctions of the Laplace operator in
bounded Euclidean domains with Dirichlet, Neumann, or Robin boundary condition. We …
bounded Euclidean domains with Dirichlet, Neumann, or Robin boundary condition. We …
Deep learning the quantum phase transitions in random two-dimensional electron systems
Random electron systems show rich phases such as Anderson insulator, diffusive metal,
quantum Hall and quantum anomalous Hall insulators, Weyl semimetal, as well as …
quantum Hall and quantum anomalous Hall insulators, Weyl semimetal, as well as …
Topology, delocalization via average symmetry and the symplectic anderson transition
A field theory of the Anderson transition in two-dimensional disordered systems with spin-
orbit interactions and time-reversal symmetry is developed, in which the proliferation of …
orbit interactions and time-reversal symmetry is developed, in which the proliferation of …
Critical exponent for the Anderson transition in the three-dimensional orthogonal universality class
We report a careful finite size scaling study of the metal–insulator transition in Anderson's
model of localization. We focus on the estimation of the critical exponent ν that describes the …
model of localization. We focus on the estimation of the critical exponent ν that describes the …
Random network models and quantum phase transitions in two dimensions
B Kramer, T Ohtsuki, S Kettemann - Physics reports, 2005 - Elsevier
An overview of the random network model invented by Chalker and Coddington, and its
generalizations, is provided. After a short introduction into the physics of the Integer …
generalizations, is provided. After a short introduction into the physics of the Integer …
Unifying the Anderson transitions in Hermitian and non-Hermitian systems
Non-Hermiticity enriches the tenfold Altland-Zirnbauer symmetry class into the 38-fold
symmetry class, where critical behavior of the Anderson transitions (ATs) has been …
symmetry class, where critical behavior of the Anderson transitions (ATs) has been …
Level statistics of real eigenvalues in non-Hermitian systems
Symmetries associated with complex conjugation and Hermitian conjugation, such as time-
reversal symmetry and pseudo-Hermiticity, have a great impact on the eigenvalue spectra of …
reversal symmetry and pseudo-Hermiticity, have a great impact on the eigenvalue spectra of …