110 citations · 613 across the 36 of their papers we have counts for
4 papers · 1 filter
Semiclassical Identification of Periodic Orbits in a Quantum Many-Body System
Maram Akila, Daniel Waltner, Boris Gutkin +2
While a wealth of results has been obtained for chaos in single-particle quantum systems, much less is known about chaos in quantum many-body systems. We contribute to recent effor…
Trace formula for spin chains
Daniel Waltner, Petr Braun, Maram Akila +1
While detailed information about the semiclassics for single-particle systems is available, much less is known about the connection between quantum and classical dynamics for many-…
Stationary waves on nonlinear quantum graphs II: Application of canonical perturbation theory in basic graph structures
Sven Gnutzmann, Daniel Waltner
We consider exact and asymptotic solutions of the stationary cubic nonlinear Schrödinger equation (NLSE) on metric graphs. We focus on some basic example graphs. The asymptotic sol…
Particle-Time Duality in the Kicked Ising Chain I: The Dual Operator
M. Akila, D. Waltner, B. Gutkin +1
We demonstrate that the dynamics of kicked spin chains possess a remarkable duality property. The trace of the unitary evolution operator for spins at time is related to on…