8 papers
Quantum chaos in many-body systems of indistinguishable particles
Juan-Diego Urbina, Klaus Richter
In quantum systems with a classical limit, advanced semiclassical methods provide the crucial link between phase-space structures, reflecting the distinction between chaotic, mixed…
The relation between classical and quantum Lyapunov exponent and the bound on chaos in classically chaotic quantum systems
Fabian Haneder, Gerrit Caspari, Juan Diego Urbina +1
Out-of-Time-Ordered Commutators (OTOCs), representing a key diagnostic for scrambling as a facet of short-time quantum chaos, have attracted wide-ranging interest, from many-body p…
Quantum Chaos as an Essential Resource for Full Quantum State Controllability
Lukas Beringer, Mathias Steinhuber, Klaus Richter +1
Using the key properties of chaos, i.e. ergodicity and exponential instability, as a resource to control classical dynamics has a long and considerable history. However, in the con…
Topological gravity for arbitrary Dyson index
Torsten Weber, Marco Lents, Johannes Dieplinger +2
We use the well established duality of topological gravity to a double scaled matrix model with the Airy spectral curve to define what we refer to as topological gravity with arbit…
Ensemble-averaged mean-field many-body level density: an indicator of integrable versus chaotic single-particle dynamics
Georg Maier, Carolyn Echter, Juan Diego Urbina +2
According to the quantum chaos paradigm, the nature of a system's classical dynamics, whether integrable or chaotic, is universally reflected in the fluctuations of its quantum spe…
Chaos and moduli space volumes in unorientable JT gravity
Jarod Tall, Torsten Weber, Juan Diego Urbina +1
We show the late time, or scaled, limit of the canonical spectral form factor (SFF) in unorientable JT gravity agrees with universal random matrix theory (RMT) up to genus one…