Magnetic Bloch oscillations in a non-Hermitian quantum Ising chain

Abstract

We investigate the impacts of an imaginary transverse field on the dynamics of magnetic domain walls in a quantum Ising chain. We show that an imaginary field plays a similar role as a real transverse field in forming a low-lying Wannier-Stark ladder. However, analytical and numerical calculations of the time evolutions in both systems show that the corresponding Bloch oscillations exhibit totally different patterns for the same initial states. These findings reveal the nontrivial effect of non-Hermiticity on quantum spin dynamics.

9 pages, 5 figures

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Cited by in corpus (5)

• Yang-Lee edge singularity and quantum criticality in non-Hermitian PXP model
• Two-doublon Bloch oscillations in the mass-imbalanced extended Fermi-Hubbard model
• Extended Wannier-Stark ladder and particle-pair Bloch oscillations in dimerized non-Hermitian systems
• Singular transport in non-equilibrium strongly internal-coupled 1D tilted field spin-1/2 chain
• Resonant dynamics of spin cluster in a periodically driven one-dimensional Rydberg lattice