7 papers
Spectral Statistics of Non-Hermitian Matrices and Dissipative Quantum Chaos
Jiachen Li, Tomaž Prosen, Amos Chan
We propose a measure, which we call the dissipative spectral form factor (DSFF), to characterize the spectral statistics of non-Hermitian (and non-Unitary) matrices. We show that D…
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…
Classification of symmetry-protected topological phases in two-dimensional many body-localized systems
Joey Li, Amos Chan, Thorsten B. Wahl
We use low-depth quantum circuits, a specific type of tensor networks, to classify two-dimensional symmetry-protected topological many-body localized phases. For (anti-)unitary on-…
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…
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…
Unitary-projective entanglement dynamics
Amos Chan, Rahul M. Nandkishore, Michael Pretko +1
Starting from a state of low quantum entanglement, local unitary time evolution increases the entanglement of a quantum many-body system. In contrast, local projective measurements…