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Diffusive hydrodynamics from integrability breaking
Aaron J. Friedman, Sarang Gopalakrishnan, Romain Vasseur
We describe the crossover from generalized hydrodynamics to conventional hydrodynamics in nearly integrable systems. Integrable systems have infinitely many conserved quantities, w…
Distinguishing localization from chaos: challenges in finite-size systems
D. A. Abanin, J. H. Bardarson, G. De Tomasi +7
We re-examine attempts to study the many-body localization transition using measures that are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using s…
Anomalous low-frequency conductivity in easy-plane XXZ spin chains
Utkarsh Agrawal, Sarang Gopalakrishnan, Romain Vasseur +1
In the easy-plane regime of XXZ spin chains, spin transport is ballistic, with a Drude weight that has a discontinuous fractal dependence on the value of the anisotropy $Δ= \cos πλ…
Measurement-induced criticality in random quantum circuits
Chao-Ming Jian, Yi-Zhuang You, Romain Vasseur +1
We investigate the critical behavior of the entanglement transition induced by projective measurements in (Haar) random unitary quantum circuits. Using a replica approach, we map t…
Universality and Quantum Criticality in Quasiperiodic Spin Chains
Utkarsh Agrawal, Sarang Gopalakrishnan, Romain Vasseur
Quasiperiodic systems are aperiodic but deterministic, so their critical behavior differs from that of clean systems as well as disordered ones. Quasiperiodic criticality was previ…
Integrable many-body quantum Floquet-Thouless pumps
Aaron J. Friedman, Sarang Gopalakrishnan, Romain Vasseur
We construct an interacting integrable Floquet model featuring quasiparticle excitations with topologically nontrivial chiral dispersion. This model is a fully quantum generalizati…