Many-body localization in the age of classical computing
Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …
many-body systems using only a few macroscopic parameters to determine the state of the …
Speed limits and locality in many-body quantum dynamics
We review the mathematical speed limits on quantum information processing in many-body
systems. After the proof of the Lieb–Robinson Theorem in 1972, the past two decades have …
systems. After the proof of the Lieb–Robinson Theorem in 1972, the past two decades have …
Influence of disordered and anisotropic interactions on relaxation dynamics and propagation of correlations in tweezer arrays of Rydberg dipoles
We theoretically investigate the out-of-equilibrium dynamics of irregular one-and two-
dimensional arrays of Rydberg dipoles featuring spatially anisotropic interactions. Starting …
dimensional arrays of Rydberg dipoles featuring spatially anisotropic interactions. Starting …
Tracking locality in the time evolution of disordered systems
Using local density correlation functions for a one-dimensional spin system, we introduce a
correlation function difference (CFD) which compares correlations on a given site between a …
correlation function difference (CFD) which compares correlations on a given site between a …
Lieb-Robinson correlation function for the quantum transverse-field Ising model
BJ Mahoney, CS Lent - Physical Review Research, 2024 - APS
The Lieb-Robinson correlation function is the norm of a commutator between local operators
acting on separate subsystems at different times. This provides a useful state-independent …
acting on separate subsystems at different times. This provides a useful state-independent …
Sub-ballistic operator growth in spin chains with heavy-tailed random fields
CL Baldwin - arxiv preprint arxiv:2409.17242, 2024 - arxiv.org
We rigorously prove that in nearly arbitrary quantum spin chains with power-law-distributed
random fields, namely such that the probability of a field exceeding $ h $ scales as $ h …
random fields, namely such that the probability of a field exceeding $ h $ scales as $ h …