We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Algebraic Localization–Delocalization Phase Transition in Moving Potential Wells on a Lattice.
- Authors
Longhi, Stefano
- Abstract
The localization and scattering properties of potential wells or barriers uniformly moving on a lattice are strongly dependent on the drift velocity, owing to a violation of the Galilean invariance of the discrete Schrödinger equation. Here a type of localization–delocalization phase transition of algebraic type is unraveled, which does not require any kind of disorder and arises when a power‐law potential well drifts fast on a lattice. While for an algebraic exponent α$\alpha$ lower than the critical value αc=1$\alpha _{\text{c}}=1$ dynamical delocalization is observed, for α>αc$\alpha > \alpha _{\text{c}}$ asymptotic localization, corresponding to asymptotic frozen dynamics, is instead realized. At the critical phase transition point α=αc=1$\alpha _=\alpha _{\text{c}}=1$ an oscillatory dynamics is found, corresponding to Bloch oscillations. An experimentally accessible photonic platform for the observation of the predicted algebraic phase transition, based on light dynamics in synthetic mesh lattices, is suggested.
- Subjects
PHASE transitions; POTENTIAL well; SCHRODINGER equation; GALILEAN relativity; LYAPUNOV exponents; DELOCALIZATION energy
- Publication
Annalen der Physik, 2024, Vol 536, Issue 6, p1
- ISSN
0003-3804
- Publication type
Article
- DOI
10.1002/andp.202300488