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4 papers · 2 filters
Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
Sarang Gopalakrishnan, Romain Vasseur
We address the nature of spin transport in the integrable XXZ spin chain, focusing on the isotropic Heisenberg limit. We calculate the diffusion constant using a kinetic picture ba…
Quantum criticality in Ising chains with random hyperuniform couplings
Philip J. D. Crowley, C. R. Laumann, Sarang Gopalakrishnan
We study quantum phase transitions in transverse-field Ising spin chains in which the couplings are random but hyperuniform, in the sense that their large-scale fluctuations are su…
Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
Sarang Gopalakrishnan, David A. Huse, Vedika Khemani +1
We address the hydrodynamics of operator spreading in interacting integrable lattice models. In these models, operators spread through the ballistic propagation of quasiparticles,…
Operator growth and eigenstate entanglement in an interacting integrable Floquet system
Sarang Gopalakrishnan
We analyze a simple model of quantum dynamics, which is a discrete-time deterministic version of the Frederickson-Andersen model. We argue that this model is integrable, with a qua…