Nonequilibrium boundary-driven quantum systems: Models, methods, and properties
Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …
systems driven dissipatively by coupling to different baths at their edges. This was possible …
The Fibonacci quasicrystal: Case study of hidden dimensions and multifractality
A Jagannathan - Reviews of Modern Physics, 2021 - APS
The distinctive electronic properties of quasicrystals stem from their long-range structural
order, with invariance under rotations and under discrete scale change, but without …
order, with invariance under rotations and under discrete scale change, but without …
Deep learning for early warning signals of tip** points
Many natural systems exhibit tip** points where slowly changing environmental
conditions spark a sudden shift to a new and sometimes very different state. As the tip** …
conditions spark a sudden shift to a new and sometimes very different state. As the tip** …
Quasicrystals
C Janot - Neutron and Synchrotron Radiation for Condensed …, 1994 - Springer
The discovery of new solids exhibiting symmetries forbidden for ordinary crystals was first
reported by Shechtman, Blech, Gratias and Cahn (1984) in Al-Mn and Al-Mn-Si alloys. In the …
reported by Shechtman, Blech, Gratias and Cahn (1984) in Al-Mn and Al-Mn-Si alloys. In the …
Localization problem in one dimension: Map** and escape
A one-dimensional Schrödinger equation in a discontinuous quasiperiodic potential is
reduced to a recursion relation for transfer matrices and then to one for traces of these …
reduced to a recursion relation for transfer matrices and then to one for traces of these …
[BOOK][B] Substitutions in dynamics, arithmetics and combinatorics
In this chapter, we will study symbolic sequences generated by an irrational rotation. Such
sequences appear each time a dynamical system has two rationally independent periods; …
sequences appear each time a dynamical system has two rationally independent periods; …
Critical wave functions and a Cantor-set spectrum of a one-dimensional quasicrystal model
The electronic properties of a tight-binding model which possesses two types of hop**
matrix element (or on-site energy) arranged in a Fibonacci sequence are studied. The wave …
matrix element (or on-site energy) arranged in a Fibonacci sequence are studied. The wave …
Topological phases in non-hermitian aubry-andré-harper models
Topological phases have recently witnessed rapid progress in non-Hermitian systems. Here
we study a one-dimensional non-Hermitian Aubry-André-Harper (AAH) model with …
we study a one-dimensional non-Hermitian Aubry-André-Harper (AAH) model with …
Localization of optics: Quasiperiodic media
M Kohmoto, B Sutherland, K Iguchi - Physical review letters, 1987 - APS
An experiment to probe the (quasi) localization of the photon is proposed, in which optical
layers are constructed following the Fibonacci sequence. The transmission coefficient has a …
layers are constructed following the Fibonacci sequence. The transmission coefficient has a …
Observation of topological phase transitions in photonic quasicrystals
Topological insulators and topological superconductors are distinguished by their bulk
phase transitions and gapless states at a sharp boundary with the vacuum. Quasicrystals …
phase transitions and gapless states at a sharp boundary with the vacuum. Quasicrystals …