Information Scrambling in Free Fermion Systems with a Sole Interaction
arXiv:2310.07043 · doi:10.1103/PhysRevB.110.035137
Abstract
It is well established that the presence of single impurity can have a substantial impact on the transport properties of quantum many-body systems at low temperature. In this work, we investigate a close analog of this problem from the perspective of quantum information dynamics. We construct Brownian circuits and Clifford circuits consisting of a free fermion hopping term and a sole interaction. In both circuits, our findings reveal the emergence of operator scrambling. Notably, the growth of the operator can be mapped to the symmetric exclusion process in the presence of a source term localized at a single point. We demonstrate that in the one-dimensional system, both the operator and entanglement exhibit diffusive scaling. Conversely, in scenarios characterized by all-to-all hopping, the operator's size undergoes exponential growth, while the entanglement exhibits a linear increase over time.
12 pages, 8 figures
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Cited by in corpus (5)
- Defect conformal field theory from Sachdev-Ye-Kitaev interactions
- Scrambling Transition in Free Fermion Systems Induced by a Single Impurity
- From Dyson Models to Many-Body Quantum Chaos
- Universal Bound States in Long-range Spin Chains with an Impurity
- Boundary Perturbation Effects in Quantum Systems with Conserved Energy and Continuous Symmetry