Bounds on the Speed of Information Propagation in Disordered Quantum Spin Chains

2007/03/31 by Christian K. Burrell, Tobias J. Osborne · 4 citations
Physics and Astronomy · #Computer science #Condensed matter physics #Opinion Dynamics and Social Influence #Physics #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #RADIUS #Spin (aerodynamics) #Spin glass #Statistical physics #quant-ph

paper · pdf · doi:10.1103/physrevlett.99.167201

published as Phys. Rev. Lett. 99, 167201 (2007) · 4 pages, pdflatex, 1 pdf figure. Corrected the bound for the localised propagator and quantified the probability it bound occurs

openalex publication_date 2007/10/16 · arxiv created 2011/07/21 · arxiv updated 2011/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the propagation of information through the disordered XY model. We find that all correlations, both classical and quantum, are exponentially suppressed outside of an effective light cone whose radius grows at most logarithmically with |t|.

Citations

• Lieb-Schultz-Mattis in higher dimensions
• Lieb-Robinson Bounds and the Exponential Clustering Theorem
• Perfect quantum state transfer with randomly coupled quantum chains
• Simulating adiabatic evolution of gapped spin systems

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