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Statistical properties of eigenstate amplitudes in complex quantum systems
Wouter Beugeling, Arnd Bäcker, Roderich Moessner +1
We study the eigenstates of quantum systems with large Hilbert spaces, via their distribution of wavefunction amplitudes in a real-space basis. For single-particle 'quantum billiar…
Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
Wouter Beugeling, Alexei Andreanov, Masudul Haque
In the spectrum of many-body quantum systems, the low-energy eigenstates were the traditional focus of research. The interest in the statistical properties of the full eigenspectru…
Off-diagonal matrix elements of local operators in many-body quantum systems
Wouter Beugeling, Roderich Moessner, Masudul Haque
In the time evolution of isolated quantum systems out of equilibrium, local observables generally relax to a long-time asymptotic value, governed by the expectation values (diagona…
Finite-size scaling of eigenstate thermalization
W. Beugeling, R. Moessner, Masudul Haque
According to the eigenstate thermalization hypothesis (ETH), even isolated quantum systems can thermalize because the eigenstate-to-eigenstate fluctuations of typical observables v…