Noise Induced Universal Diffusive Transport in Fermionic Chains
arXiv:2304.02671 · doi:10.1103/PhysRevB.108.L180303
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.
arXiv commentUpdated references and new results included. Comments welcome
References in corpus (49)
- Chaos and Quantum Thermalization
- Nonequilibrium dynamics of closed interacting quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Quantum many-body systems out of equilibrium
- Environment-Assisted Quantum Transport
- Operator Spreading in Random Unitary Circuits
- Fermi gases in one dimension: From Bethe Ansatz to experiments
- Random Quantum Circuits
- Towards the fast scrambling conjecture
- Random Quantum Circuits are Approximate 2-designs
- Spin diffusion from an inhomogeneous quench in an integrable system
- Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 Dimensions
- Observation of measurement-induced quantum phases in a trapped-ion quantum computer
- Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
- Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
- Exact dynamics in dual-unitary quantum circuits
- Relaxation times of dissipative many-body quantum systems
- Environment-assisted quantum transport in a 10-qubit network
- Exact Bethe ansatz spectrum of a tight-binding chain with dephasing noise
- Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
- Detection of Kardar-Parisi-Zhang hydrodynamics in a quantum Heisenberg spin- chain
- Anomalous spin diffusion in one-dimensional antiferromagnets
- Locality, Quantum Fluctuations, and Scrambling
- Decoherence Induced Exceptional Points in a Dissipative Superconducting Qubit
- Crossover between ballistic and diffusive transport: The Quantum Exclusion Process
- Superuniversality of superdiffusion
- Quantum chaos in the Brownian SYK model with large finite : OTOCs and tripartite information
- Open Quantum Symmetric Simple Exclusion Process
- Stability of superdiffusion in nearly integrable spin chains
- Spectral gaps and mid-gap states in random quantum master equations
- Operator Dynamics in Brownian Quantum Circuit
- Noise-induced subdiffusion in strongly localized quantum systems
- Classical Diffusion of a quantum particle in a noisy environment
- Entanglement production and information scrambling in a noisy spin system
- Noisy Coupled Qubits: Operator Spreading and the Fredrickson-Andersen Model
- Hydrodynamics in lattice models with continuous non-Abelian symmetries
- Bath-induced decay of Stark many-body localization
- From stochastic spin chains to quantum Kardar-Parisi-Zhang dynamics
- Dynamics of Fluctuations in Quantum Simple Exclusion Processes
- Localization of phonons in ion traps with controlled quantum disorder
- Exactly solvable model of quantum diffusion
- The Open Quantum Brownian Motion
- Observation of the Quantum Boomerang Effect
- Logarithmic, noise-induced dynamics in the Anderson insulator
- Remnants of Anderson localization in pre-thermalization induced by white noise
- Absence of superdiffusion in certain random spin models
- `Muhammad Ali effect' and incoherent destruction of Wannier-Stark localization in a stochastic field
- Universal out-of-equilibrium dynamics of 1D critical quantum systems perturbed by noise coupled to energy
- Stochastic dynamics of a few sodium atoms in a cold potassium cloud