301 citations · 2.1k across the 40 of their papers we have counts for
40 papers
Digital Quantum Simulation, Trotter Errors, and Quantum Chaos of the Kicked Top
Lukas M. Sieberer, Tobias Olsacher, Andreas Elben +4
This work aims at giving Trotter errors in digital quantum simulation (DQS) of collective spin systems an interpretation in terms of quantum chaos of the kicked top. In particular,…
Sigma models for quantum chaotic dynamics
Alexander Altland, Sven Gnutzmann, Fritz Haake +1
We review the construction of the supersymmetric sigma model for unitary maps, using the color- flavor transformation. We then illustrate applications by three case studies in quan…
Self-averaging characteristics of spectral fluctuations
Petr Braun, Fritz Haake
The spectral form factor as well as the two-point correlator of the density of (quasi-)energy levels of individual quantum dynamics are not self-averaging. Only suitable smoothing…
Chaotic maps and flows: Exact Riemann-Siegel lookalike for spectral fluctuations
P. Braun, F. Haake
To treat the spectral statistics of quantum maps and flows that are fully chaotic classically, we use the rigorous Riemann-Siegel lookalike available for the spectral determinant o…
Equilibration and macroscopic quantum fluctuations in the Dicke model
Alexander Altland, Fritz Haake
We discuss the unitary quantum dynamics of the Dicke model (spin and oscillator coupled). A suitable quasiprobabilty representing the quantum state turns out to obey a Fokker-Planc…
Quantum chaos and effective thermalization
Alexander Altland, Fritz Haake
We demonstrate effective equilibration for unitary quantum dynamics under conditions of classical chaos. Focusing on the paradigmatic example of the Dicke model, we show how a cons…