Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder

• URL: http://arxiv.org/abs/2402.01236v2
• Date: Mon, 13 May 2024 18:23:29 GMT
• Title: Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder
• Authors: Surajit Mandal, Satyaki Kar,
• Abstract summary: A chiral symmetric Su-Schrieffer-Heeger chain features topological end states in one of its dimerized configurations. More and more in-gap end modes appear at nonzero energies for further partitioning of the Brillouin zone. The new topological phases are identified with a detailed analysis of the topological invariants namely, winding number and Zak phases.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A chiral symmetric Su-Schrieffer-Heeger (SSH) chain features topological end states in one of its dimerized configurations. Those mid-gap zero energy states show interesting modifications upon a periodic tuning of the hopping modulations. Besides, more and more in-gap end modes appear at nonzero energies for further partitioning of the Brillouin zone (BZ) due to increased hopping periodicity. The new topological phases are identified with a detailed analysis of the topological invariants namely, winding number and Zak phases. The spectra and topology of these systems with periodically modulated hopping are studied also in the presence of a single static domain wall, separating two topologically inequivalent dimerized structures. The domain wall causes additional in-gap modes in the spectrum as well as zero energy domain wall solitonic states for specific hopping periodicities. We also study the effect of disorder, particularly the chirality breaking onsite ones, on the edge and domain wall states. Other than the SSH type we also consider random, Rice-Mele or AI type disorder to do a comparative analysis of the evolution of chirality and zero energy states as the strength of disorder and hopping periodicity is varied. Our findings can add important feedback in utilizing topological phases in various fields including quantum computations while the results can be easily verified in a cold atom set up within optical lattices.

Related papers

• Topology and $\mathcal{PT}$ Symmetry in a Non-Hermitian Su-Schrieffer-Heeger Chain with Periodic Hopping Modulation [0.0]
  We study the effect of periodic but commensurate hopping modulation on a Su-Schrieffer-Heeger chain with an additional onsite staggered imaginary potential. We find that this PT breaking with imaginary potential strength gamma show interesting dependence on the hopping modulation Delta. In-gap states, that appear also in the gamma = 0 limit, take either purely real or purely imaginary eigenvalues depending on the strength of both gamma and Delta.
  arXiv  Detail & Related papers  (2024-05-07T15:07:47Z)
• Topological phase detection through high-harmonic spectroscopy in extended Su-Schrieffer-Heeger chains [0.0]
  Su-Schrieffer-Heeger (SSH) chains are paradigmatic examples of 1D topological insulators hosting zero-energy edge modes. Recently, high-harmonic spectroscopy has been suggested as a tool for detecting the topological phase.
  arXiv  Detail & Related papers  (2023-05-03T10:31:18Z)
• Dynamics of entangled domain walls in quantum many-body scars and breakdown of their prethermalization [6.916379943487209]
  We investigate dynamics of topological domain walls between different quantum many-body scar states of $mathbbZ$ symmetry. It is found that, the domain walls not only possess oscillating features of scars but also manifest longstanding bipartite entanglement with exactly unchanged flip-flop phase difference. In order to investigate the stability of domain walls acting as information carriers, we further simulate the collision between them and find negligible influence on each other.
  arXiv  Detail & Related papers  (2022-07-14T00:24:06Z)
• Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition [62.997667081978825]
  We analyze the role of boundary conditions in the statistics of topological defects. We show that for fast and moderate quenches, the cumulants of the kink number distribution present a universal scaling with the quench rate.
  arXiv  Detail & Related papers  (2022-07-08T09:55:05Z)
• Frustration shapes multi-channel Kondo physics: a star graph perspective [0.31317409221921144]
  We study the overscreened multi-channel Kondo (MCK) model using the recently developed unitary renormalization group (URG) technique. Our results display the importance of ground state degeneracy in explaining various important properties.
  arXiv  Detail & Related papers  (2022-05-02T10:21:24Z)
• Genuine Multipartite Correlations in a Boundary Time Crystal [56.967919268256786]
  We study genuine multipartite correlations (GMC's) in a boundary time crystal (BTC) We analyze both (i) the structure (orders) of GMC's among the subsystems, as well as (ii) their build-up dynamics for an initially uncorrelated state.
  arXiv  Detail & Related papers  (2021-12-21T20:25:02Z)
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
  Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping [68.8204255655161]
  We study the localized states of a generic quadratic fermionic chain with finite-range couplings. We analyze the robustness of the connection between bands against perturbations of the Hamiltonian.
  arXiv  Detail & Related papers  (2021-07-20T18:44:06Z)
• Qubit-photon bound states in topological waveguides with long-range hoppings [62.997667081978825]
  Quantum emitters interacting with photonic band-gap materials lead to the appearance of qubit-photon bound states. We study the features of the qubit-photon bound states when the emitters couple to the bulk modes in the different phases. We consider the coupling of emitters to the edge modes appearing in the different topological phases.
  arXiv  Detail & Related papers  (2021-05-26T10:57:21Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)
• Topological quantum optical states in quasiperiodic cold atomic chains [0.0]
  Topological quantum optical states in one-dimensional (1D) quasiperiodic cold atomic chains are studied in this work. We propose that by introducing incommensurate modulations on the interatomic distances of 1D periodic atomic chains, the Aubry-Andr'e-Harper model can be mimicked. It is found that the present system indeed supports nontrivial topological states localized over the boundaries.
  arXiv  Detail & Related papers  (2020-01-15T03:53:54Z)

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.