Eigenstate thermalization hypothesis beyond standard indicators: Emergence of random-matrix behavior at small frequencies.
It is demonstrated that at much smaller energy scales, the eigenvalue distribution approximately assumes the universal semicircle shape, indicating transition to the random-matrix behavior, and in particular that matrix elements become uncorrelated.
Anomalous hydrodynamics in a class of scarred frustration-free Hamiltonians
Atypical eigenstates in the form of quantum scars and fragmentation of Hilbert space due to conservation laws provide obstructions to thermalization in the absence of disorder. In certain models with…
Exponential damping induced by random and realistic perturbations.
This work studies the decay of current autocorrelation functions in spin-1/2 ladder systems and finds a convincing agreement between the exact dynamics and the lowest-order prediction over a wide range of interchain couplings.
Relation between far-from-equilibrium dynamics and equilibrium correlation functions for binary operators.
It is unveiled that, for high temperatures, the nonequilibrium dynamics of so-called binary operators is always generated by an equilibrium correlation function, and holds true for states in the far-from-equilibrium limit, i.e., initial states far away from equilibrium.
Traces of the Gods: Ancient Astronauts as a Vision of Our Future
- Jonas Richter
Abstract Ancient astronaut speculation (also called paleo-SETI), often labeled pseudoscience or modern myth, still awaits in-depth research. Focusing on Erich von Daniken and reconstructing his views…
Real-time dynamics of typical and untypical states in nonintegrable systems
- Jonas Richter, F. Jin, H. Raedt, K. Michielsen, J. Gemmer, R. Steinigeweg
- PhysicsPhysical review B
- 22 January 2018
Understanding (i) the emergence of diffusion from truly microscopic principles continues to be a major challenge in experimental and theoretical physics. At the same time, isolated quantum many-body…
Combining dynamical quantum typicality and numerical linked cluster expansions
We demonstrate that numerical linked cluster expansions (NLCE) yield a powerful approach to calculate time-dependent correlation functions for quantum many-body systems in one dimension. As a…
Impact of eigenstate thermalization on the route to equilibrium.
If the off-diagonal part of the ETH applies, then the relaxation process can become independent of whether or not a state is close to equilibrium, and the dynamics is generated by a single correlation function in the context of LRT.
Simulating Hydrodynamics on Noisy Intermediate-Scale Quantum Devices with Random Circuits.
This work proposes an algorithm consisting of a random circuit followed by a trotterized Hamiltonian time evolution to study hydrodynamics and to extract transport coefficients in the linear response regime and finds that the hydrodynamic scaling of the correlations is highly robust with respect to the size of the Trotter step.
Magnetization dynamics in clean and disordered spin-1 XXZ chains
We study spin transport in the one-dimensional anisotropic S = 1 Heisenberg model. Particular emphasis is given to dynamics at infinite temperature, where current autocorrelations and spatio-temporal…