Topology of anti-parity-time-symmetric non-Hermitian
Su-Schrieffer-Heeger model
- URL: http://arxiv.org/abs/2105.03676v1
- Date: Sat, 8 May 2021 11:17:08 GMT
- Title: Topology of anti-parity-time-symmetric non-Hermitian
Su-Schrieffer-Heeger model
- Authors: H. C. Wu, L. Jin, Z. Song
- Abstract summary: We show that the large non-Hermiticity constructively creates nontrivial topology and greatly expands the topological phase.
Our findings can be verified through introducing dissipations in every another two sites of the standard SSH model even in its trivial phase.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We propose an anti-parity-time (anti-PT ) symmetric non-Hermitian
Su-Schrieffer-Heeger (SSH) model, where the large non-Hermiticity
constructively creates nontrivial topology and greatly expands the topological
phase. In the anti-PT -symmetric SSH model, the gain and loss are alternatively
arranged in pairs under the inversion symmetry. The appearance of degenerate
point at the center of the Brillouin zone determines the topological phase
transition, while the exceptional points unaffect the band topology. The large
non-Hermiticity leads to unbalanced wavefunction distribution in the broken
anti-PT -symmetric phase and induces the nontrivial topology. Our findings can
be verified through introducing dissipations in every another two sites of the
standard SSH model even in its trivial phase, where the nontrivial topology is
solely induced by the dissipations.
Related papers
- Long-range entanglement from spontaneous non-onsite symmetry breaking [3.3754780158324564]
We show a frustration-free lattice model exhibiting SSB of a non-onsite symmetry.
We analytically prove the two-fold ground-state degeneracy and the existence of a finite energy gap.
Our work reveals the exotic features of SSB of non-onsite symmetries, which may lie beyond the framework of topological holography.
arXiv Detail & Related papers (2024-11-07T18:59:51Z) - Anomalous dynamical response of non-Hermitian topological phases [1.96076686350775]
Composite topological phases with intriguing topology like M$"o$bius strips emerge in sublattice symmetric non-Hermitian systems.
We study the dynamical response of these phases by studying Loschmidt echo from an initial state of the Hermitian Su-Schrieffer-Heeger (SSH) model.
The last feature is a dynamical signature of different symmetry constraints on the real and imaginary parts of the complex bands in the M$"o$bius phase.
arXiv Detail & Related papers (2023-10-19T10:41:47Z) - 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) - Adiabatic-impulse approximation in non-Hermitian Landau-Zener Model [0.0]
We investigate the transition from PT-symmetry to PT-symmetry breaking and vice versa in the non-Hermitian Landau-Zener (LZ) models.
To illustrate the dynamics of phase transitions, the relative population is introduced to calculate the defect density in nonequilibrium phase transitions.
arXiv Detail & Related papers (2022-10-23T12:11:30Z) - Noise-resilient Edge Modes on a Chain of Superconducting Qubits [103.93329374521808]
Inherent symmetry of a quantum system may protect its otherwise fragile states.
We implement the one-dimensional kicked Ising model which exhibits non-local Majorana edge modes (MEMs) with $mathbbZ$ parity symmetry.
MEMs are found to be resilient against certain symmetry-breaking noise owing to a prethermalization mechanism.
arXiv Detail & Related papers (2022-04-24T22:34:15Z) - 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) - Non-Hermitian $C_{NH} = 2$ Chern insulator protected by generalized
rotational symmetry [85.36456486475119]
A non-Hermitian system is protected by the generalized rotational symmetry $H+=UHU+$ of the system.
Our finding paves the way towards novel non-Hermitian topological systems characterized by large values of topological invariants.
arXiv Detail & Related papers (2021-11-24T15:50:22Z) - The phase diagram and vortex properties of PT-symmetric non-Hermitian
two-component superfluid [0.0]
We discuss the phase diagram and properties of global vortices in the non-Hermitian parity-time-symmetric relativistic model.
In the long-range limit of two-component Bose-Einstein condensates, the vortices from different condensates experience mutual dissipative dynamics unless their cores overlap precisely.
arXiv Detail & Related papers (2021-05-16T15:30:48Z) - Spontaneous and explicit parity-time-symmetry breaking in drift wave
instabilities [84.14613391584454]
We show that spontaneous PT-symmetry breaking leads to the Ion Temperature Gradient (ITG) instability of drift waves, and the collisional instability is the result of explicit PT-symmetry breaking.
It is also found that gradients of ion temperature and density can destabilize the ion cyclotron waves when PT symmetry is explicitly broken by a finite collisionality.
arXiv Detail & Related papers (2020-10-19T15:59:12Z) - Observation of Hermitian and Non-Hermitian Diabolic Points and
Exceptional Rings in Parity-Time symmetric ZRC and RLC Dimers [62.997667081978825]
We show how appears non-Hermitian degeneracy points in the spectrum and how they are protected against a Hermitian perturbation.
This work opens a gold road for investigations on topological electrical circuits for robust transport of information at room temperature.
arXiv Detail & Related papers (2020-04-17T15:51:49Z)
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.