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Topological Spin Excitations in Non-Hermitian Spin Chains with a Generalized Kernel Polynomial Algorithm.

Guangze Chen1, Fei Song2, Jose L Lado1

  • 1Department of Applied Physics, Aalto University, 02150 Espoo, Finland.

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|March 24, 2023
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Summary
This summary is machine-generated.

We developed a new numerical method to calculate spectral functions for non-Hermitian many-body systems. This approach reveals topological spin excitations and line gap topology, even with the non-Hermitian skin effect.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Theory
  • Topological Physics

Background:

  • Non-Hermitian Hamiltonians exhibit unique topological properties, such as line gaps and edge modes.
  • Calculating spectral functions in non-Hermitian many-body systems is computationally challenging.

Purpose of the Study:

  • To develop an efficient numerical method for computing spectral functions in non-Hermitian many-body systems.
  • To characterize topological properties, specifically line gaps and edge modes, in these systems.

Main Methods:

  • Utilized the kernel polynomial method combined with matrix-product state formalism.
  • Applied the method to compute local spectral functions in a non-Hermitian spin model.
  • Validated the approach in the presence of the non-Hermitian skin effect.

Main Results:

  • Successfully computed local spectral functions, revealing topological spin excitations.
  • Demonstrated faithful reflection of nontrivial line gap topology in a many-body context.
  • Confirmed the algorithm's efficacy despite the non-Hermitian skin effect.

Conclusions:

  • The proposed numerical method provides an efficient way to compute spectral functions in non-Hermitian many-body systems using tensor networks.
  • This technique enables the characterization of line gap topology in complex non-Hermitian quantum models.
  • Opens new avenues for exploring topological phenomena in non-Hermitian quantum matter.