Untying links through anti-parity-time-symmetric coupling
- URL: http://arxiv.org/abs/2007.08724v2
- Date: Mon, 20 Jul 2020 03:23:14 GMT
- Title: Untying links through anti-parity-time-symmetric coupling
- Authors: H.C. Wu, X.M. Yang, L. Jin, Z. Song
- Abstract summary: We show how the vector field links are untied under the influence of anti-parity-time-symmetric couplings.
The linked vector fields reflect the topology of the nontrivial phase.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We reveal how the vector field links are untied under the influence of
anti-parity-time-symmetric couplings in a dissipative sublattice-symmetric
topological photonic crystal lattice. The topology of the quasi-one-dimensional
two-band system is encoded in the geometric topology of the vector fields
associated with the Bloch Hamiltonian. The linked vector fields reflect the
topology of the nontrivial phase. The topological phase transition occurs
concomitantly with the untying of the vector field link at the exceptional
points. Counterintuitively, more dissipation constructively creates a
nontrivial topology. The linking number predicts the number of topological
photonic zero modes.
Related papers
- Low-dimensional polaritonics: Emergent non-trivial topology on
exciton-polariton simulators [0.0]
Polaritonic lattice configurations in dimensions $D=2$ are used as simulators of topological phases, based on symmetry class A Hamiltonians.
We provide a comprehensive mathematical framework, which fully addresses the source and structure of topological phases in coupled polaritonic array systems.
arXiv Detail & Related papers (2023-10-31T04:22:58Z) - Topological characterization of special edge modes from the winding of
relative phase [0.0]
Inversion or chiral symmetry broken SSH model is an example of a system where one-sided edge state with finite energy appears at one end of the open chain.
We introduce a concept of relative phase between the components of a two-component spinor and define a winding number by the change of this relative phase over the one-dimensional Brillouin zone.
We extend this analysis to a two dimensional case where we characterize the non-trivial phase, hosting gapped one-sided edge mode, by the winding in relative phase only along a certain axis in the Brillouin zone.
arXiv Detail & Related papers (2023-06-13T19:43:04Z) - Non-Hermitian bulk-boundary correspondence via scattering theory [0.304585143845864]
We reestablish the bulk-boundary correspondence in one-dimensional non-Hermitian systems by applying the scattering theory.
We unveil a new type of topological phase transition without typical bulk enengy gap closing and an unstable phase with topological boundary states.
arXiv Detail & Related papers (2023-02-14T15:57:32Z) - Dynamical chaos in nonlinear Schr\"odinger models with subquadratic
power nonlinearity [137.6408511310322]
We deal with a class of nonlinear Schr"odinger lattices with random potential and subquadratic power nonlinearity.
We show that the spreading process is subdiffusive and has complex microscopic organization.
The limit of quadratic power nonlinearity is also discussed and shown to result in a delocalization border.
arXiv Detail & Related papers (2023-01-20T16:45:36Z) - Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
We introduce a class of quantum optical Hamiltonian characterized by three-body couplings.
We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
arXiv Detail & Related papers (2022-04-07T15:39:21Z) - Locality of Spontaneous Symmetry Breaking and Universal Spacing
Distribution of Topological Defects Formed Across a Phase Transition [62.997667081978825]
A continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM)
We characterize the spatial distribution of point-like topological defects in the resulting nonequilibrium state and model it using a Poisson point process in arbitrary spatial dimension with KZM density.
arXiv Detail & Related papers (2022-02-23T19:00:06Z) - Topological transitions with continuously monitored free fermions [68.8204255655161]
We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits.
We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
arXiv Detail & Related papers (2021-12-17T22:01:54Z) - Boundary theories of critical matchgate tensor networks [59.433172590351234]
Key aspects of the AdS/CFT correspondence can be captured in terms of tensor network models on hyperbolic lattices.
For tensors fulfilling the matchgate constraint, these have previously been shown to produce disordered boundary states.
We show that these Hamiltonians exhibit multi-scale quasiperiodic symmetries captured by an analytical toy model.
arXiv Detail & Related papers (2021-10-06T18:00:03Z) - Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in
Photonic Lattices [14.450949607717437]
We experimentally realize an extended Su-Schrieffer-Heeger model with broken chiral symmetry.
Our results demonstrate that inversion symmetry protects the quantized Zak phase, but edge states can disappear in the topological nontrivial phase.
Our photonic lattice provides a useful platform to study the interplay among topological phases, symmetries, and the bulk-boundary correspondence.
arXiv Detail & Related papers (2021-09-28T13:35:44Z) - Crystalline gauge fields and quantized discrete geometric response for
Abelian topological phases with lattice symmetry [0.0]
We develop a theory of symmetry-protected quantized invariants for topological phases defined on a lattice.
We show how discrete rotational and translational symmetry fractionalization can be characterized by a discrete spin vector.
The fractionally quantized charge polarization, which is non-trivial only on a lattice with $2$, $3$, and $4$-fold rotation symmetry, implies a fractional charge bound to lattice dislocations.
arXiv Detail & Related papers (2020-05-20T18:00:05Z) - Bulk detection of time-dependent topological transitions in quenched
chiral models [48.7576911714538]
We show that the winding number of the Hamiltonian eigenstates can be read-out by measuring the mean chiral displacement of a single-particle wavefunction.
This implies that the mean chiral displacement can detect the winding number even when the underlying Hamiltonian is quenched between different topological phases.
arXiv Detail & Related papers (2020-01-16T17:44:52Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.