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Spectral Lyapunov exponents in chaotic and localized many-body quantum systems
Amos Chan, Andrea De Luca, J. T. Chalker
We consider the spectral statistics of the Floquet operator for disordered, periodically driven spin chains in their quantum chaotic and many-body localized phases (MBL). The spect…
Entanglement front generated by an impurity travelling in an isolated many-body quantum system
Andrea De Luca, Alvise Bastianello
We investigate the effect on the entanglement dynamics of an impurity moving at constant velocity in a closed quantum system. We focus on one-dimensional strongly-correlated lattic…
Spectral statistics and many-body quantum chaos with conserved charge
Aaron J. Friedman, Amos Chan, Andrea De Luca +1
We investigate spectral statistics in spatially extended, chaotic many-body quantum systems with a conserved charge. We compute the spectral form factor analytically for a m…
Integrability-protected adiabatic reversibility in quantum spin chains
A. Bastianello, A. De Luca
We consider the out-of-equilibrium dynamics of the Heisenberg anisotropic quantum spin-- chain threaded by a time-dependent magnetic flux. In the spirit of the recently develo…
Eigenstate Correlations, Thermalization and the Butterfly Effect
Amos Chan, Andrea De Luca, J. T. Chalker
We discuss eigenstate correlations for ergodic, spatially extended many-body quantum systems, in terms of the statistical properties of matrix elements of local observables. While…
Spectral statistics in spatially extended chaotic quantum many-body systems
Amos Chan, Andrea De Luca, J. T. Chalker
We study spectral statistics in spatially extended chaotic quantum many-body systems, using simple lattice Floquet models without time-reversal symmetry. Computing the spectral for…