8 citations · 17 across the 11 of their papers we have counts for
11 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…
Beyond the ensemble paradigm in low dimensional quantum gravity: Schwarzian density, quantum chaos and wormhole contributions
Fabian Haneder, Juan Diego Urbina, Camilo Moreno +2
Based on periodic orbit theory we address the individual-system versus ensemble interpretation of quantum gravity from a quantum chaos perspective. To this end we show that the spe…
Many-body density of states of bosonic and fermionic gases: a combinatorial approach
Carolyn Echter, Georg Maier, Juan-Diego Urbina +2
We use a combinatorial approach to obtain exact expressions for the many-body density of states of fermionic and bosonic gases with equally spaced single-particle spectra. We ident…
Unorientable topological gravity and orthogonal random matrix universality
Torsten Weber, Jarod Tall, Fabian Haneder +2
The duality of Jackiw-Teitelboim (JT) gravity and a double scaled matrix integral has led to studies of the canonical spectral form factor (SFF) in the so called scaled limit o…
Universal correlations in chaotic many-body quantum states: Fock-space formulation of Berrys random wave model
Florian Schoeppl, Remy Dubertrand, Juan-Diego Urbina +1
The apparent randomness of chaotic eigenstates in interacting quantum systems hides subtle correlations dynamically imposed by their finite energy per particle. These correlations…
Controlling Many-Body Quantum Chaos: Bose-Hubbard systems
Lukas Beringer, Mathias Steinhuber, Juan Diego Urbina +2
This work develops a quantum control application of many-body quantum chaos for ultracold bosonic gases trapped in optical lattices. It is long known how to harness exponential sen…