1,092 research outputs found
Weyl points and topological nodal superfluids in a face-centered cubic optical lattice
We point out that a face-centered cubic (FCC) optical lattice, which can be
realised by a simple scheme using three lasers, provides one a highly
controllable platform for creating Weyl points and topological nodal
superfluids in ultracold atoms. In non-interacting systems, Weyl points
automatically arise in the Floquet band structure when shaking such FCC
lattices, and sophisticated design of the tunnelling is not required. More
interestingly, in the presence of attractive interaction between two hyperfine
spin states, which experience the same shaken FCC lattice, a three-dimensional
topological nodal superfluid emerges, and Weyl points show up as the gapless
points in the quasiparticle spectrum. One could either create a double Weyl
point of charge 2, or split it to two Weyl points of charge 1, which can be
moved in the momentum space by tuning the interactions. Correspondingly, the
Fermi arcs at the surface may be linked with each other or separated as
individual ones.Comment: 5 pages, 2 figures in the main text; 2 pages, 2 figures in the
supplemental materia
A class of skin discrete breathers emerging from a high-order exceptional point
We study the perturbation by a Kerr nonlinearity to a linear exceptional
point (EP) of th order formed by a unidirectionally hopping model and find a
class of breathers, dubbed {\it skin discrete breathers} (skin breathers for
short), that are aggregated to one boundary the hopping drives to. The
nonlinear spectrum of these skin breathers demonstrates a hierarchical
power-law scaling near the EP, i.e., the response of nonlinear energy to the
perturbation , where is the
power with labeling the nonlinear energy bands. This is in sharp
contrast to the th root of a generally linear perturbation. These skin
breathers decay in a double-exponential way, not in the exponential way as the
edge states or skin modes in linear systems. Moreover, these skin breathers can
survive over the full nonlinearity strength, continuously connected to the
self-trapped states at the large limit, and they are also stable according to
the stability analysis, which are reflected by a defined nonlinear fidelity of
an adiabatic evolution.Since the nonreciprocal models are experimentally
realized in optical systems where the Kerr's nonlinearity naturally exits, our
results may stimulate more studies of interplay between nonlinearity and
non-Hermiticity, especially the linear EPs.Comment: 8 pages, 4 figure
General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents
We establish a general mapping from one-dimensional non-Hermitian mosaic
models to their non-mosaic counterparts. This mapping can give rise to mobility
edges and even Lyapunov exponents in the mosaic models if critical points of
localization or Lyapunov exponents of localized states in the corresponding
non-mosaic models have already been analytically solved. To demonstrate the
validity of this mapping, we apply it to two non-Hermitian localization models:
an Aubry-Andr\'e-like model with nonreciprocal hopping and complex
quasiperiodic potentials, and the Ganeshan-Pixley-Das Sarma model with
nonreciprocal hopping. We successfully obtain the mobility edges and Lyapunov
exponents in their mosaic models. This general mapping may catalyze further
studies on mobility edges, Lyapunov exponents, and other significant quantities
pertaining to localization in non-Hermitian mosaic models.Comment: 9 pages, 2 figure
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