Noise Induced Universal Diffusive Transport in Fermionic Chains
- URL: http://arxiv.org/abs/2304.02671v2
- Date: Mon, 1 May 2023 19:30:46 GMT
- Title: Noise Induced Universal Diffusive Transport in Fermionic Chains
- Authors: Christopher M. Langlett and Shenglong Xu
- Abstract summary: We develop a microscopic transport theory in a randomly driven fermionic model with and without linear potential.
The universal diffusive behavior is attributed to a noise-induced bound state arising in the operator equations of motion at small momentum.
We then characterize the fate of Stark localization in the presence of noise.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We develop a microscopic transport theory in a randomly driven fermionic
model with and without linear potential. The operator dynamics arise from the
competition between noisy and static couplings, leading to diffusion regardless
of ballistic transport or Stark localization in the clean limit. The universal
diffusive behavior is attributed to a noise-induced bound state arising in the
operator equations of motion at small momentum. By mapping the noise-averaged
operator equation of motion to a one-dimensional non-hermitian hopping model,
we analytically solve for the diffusion constant, which scales
non-monotonically with noise strength, revealing regions of enhanced and
suppressed diffusion from the interplay between onsite and bond dephasing
noise, and a linear potential. For large onsite dephasing, the diffusion
constant vanishes, indicating an emergent localization. On the other hand, the
operator equation becomes the diffusion equation for strong bond dephasing and
is unaffected by additional arbitrarily strong static terms that commute with
the local charge, including density-density interactions. The bound state
enters a continuum of scattering states at finite noise and vanishes. However,
the bound state reemerges at an exceptional-like point in the spectrum after
the bound-to-scattering state transition. We then characterize the fate of
Stark localization in the presence of noise.
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