365 citations · 1.8k across the 43 of their papers we have counts for
6 papers · 1 filter
Does scrambling equal chaos?
Tianrui Xu, Thomas Scaffidi, Xiangyu Cao
Focusing on semiclassical systems, we show that the parametrically long exponential growth of out-of-time order correlators (OTOCs), also known as scrambling, does not necessitate…
Low-rank Sachdev-Ye-Kitaev models
Jaewon Kim, Xiangyu Cao, Ehud Altman
Motivated by recent works on atom-cavity realizations of fast scramblers, and on Cooper pairing in non-Fermi liquids, we study a family of solvable variants of the () Sachdev-…
Local Matrix Product Operators: Canonical Form, Compression, & Control Theory
Daniel E. Parker, Xiangyu Cao, Michael P. Zaletel
We present a new method for compressing matrix product operators (MPOs) which represent sums of local terms, such as Hamiltonians. Just as with area law states, such local operator…
The GGE averaged currents of the classical Toda chain
Xiangyu Cao, Vir B. Bulchandani, Herbert Spohn
The Toda chain with random initial data is studied. Of particular interest are generalized Gibbs ensembles, their averaged conserved fields, and the averages of the corresponding c…
Integrable and chaotic dynamics of spins coupled to an optical cavity
Gregory Bentsen, Ionut-Dragos Potirniche, Vir B. Bulchandani +5
We show that a class of random all-to-all spin models, realizable in systems of atoms coupled to an optical cavity, gives rise to a rich dynamical phase diagram due to the pairwise…
Kinetic theory of quantum and classical Toda lattices
Vir B. Bulchandani, Xiangyu Cao, Joel E. Moore
We consider the kinetic theory of the quantum and classical Toda lattice models. A kinetic equation of Bethe-Boltzmann type is derived for the distribution function of conserved qu…