312 citations · 5.8k across the 176 of their papers we have counts for
19 papers · 1 filter
Periodic orbit theory of Bethe-integrable quantum systems: an -particle Berry-Tabor trace formula
Juan Diego Urbina, Michael Kelly, Klaus Richter
One of the fundamental results of semiclassical theory is the existence of trace formulae showing how spectra of quantum mechanical systems emerge from massive interference among a…
Controlling quantum chaos: time-dependent kicked rotor
Steven Tomsovic, Juan Diego Urbina, Klaus Richter
One major objective of controlling classical chaotic dynamical systems is exploiting the system's extreme sensitivity to initial conditions in order to arrive at a predetermined ta…
Dynamical transition from localized to uniform scrambling in locally hyperbolic systems
Mathias Steinhuber, Peter Schlagheck, Juan-Diego Urbina +1
Fast scrambling of quantum correlations, reflected by the exponential growth of Out-of-Time-Order Correlators (OTOCs) on short pre-Ehrenfest time scales, is commonly considered as…
Semiclassical roots of universality in many-body quantum chaos
Klaus Richter, Juan Diego Urbina, Steven Tomsovic
Quantum chaos of many-body systems has been swiftly developing into a vibrant research area at the interface between various disciplines, ranging from statistical physics to conden…
Emergence of a Renormalized Expansion in Quenched Critical Many-Body Systems
Benjamin Geiger, Juan Diego Urbina, Klaus Richter
We consider the fate of expansions in unstable many-body quantum systems, as realized by a quench across criticality, and show the emergence of as a renorma…
Reversible quantum information spreading in many-body systems near criticality
Quirin Hummel, Benjamin Geiger, Juan Diego Urbina +1
Quantum chaotic interacting -particle systems are assumed to show fast and irreversible spreading of quantum information on short (Ehrenfest) time scales . Here we…
Overcoming dispersive spreading of quantum wave packets via periodic nonlinear kicking
Arseni Goussev, Phillipp Reck, Florian Moser +3
We propose the suppression of dispersive spreading of wave packets governed by the free-space Schrödinger equation with a periodically pulsed nonlinear term. Using asymptotic analy…
Towards a quantum time mirror for nonrelativistic wave packets
Phillipp Reck, Cosimo Gorini, Arseni Goussev +3
We propose a method -- a quantum time mirror (QTM) -- for simulating a partial time-reversal of the free-space motion of a nonrelativistic quantum wave packet. The method is based…
Post-Ehrenfest many-body quantum interferences in ultracold atoms far-out-of-equilibrium
Steven Tomsovic, Peter Schlagheck, Denis Ullmo +2
Far out-of-equilibrium many-body quantum dynamics in isolated systems necessarily generate interferences beyond an Ehrenfest time scale, where quantum and classical expectation val…
Canonical description of 1D few-body systems with short range interaction
Quirin Hummel, Juan Diego Urbina, Klaus Richter
We address the fundamental interplay between indistinguishability and interactions when discreteness effects are neglected in systems with strictly fixed number of particles. For t…
The semiclassical propagator in Fock space: dynamical echo and many-body interference
Thomas Engl, Juan Diego Urbina, Klaus Richter
We present a semiclassical approach to many-body quantum propagation in terms of coherent sums over quantum amplitudes associated with the solutions of corresponding classical nonl…
Periodic Mean-Field Solutions and the Spectra of Discrete Bosonic Fields: Trace Formula for Bose-Hubbard Models
Thomas Engl, Juan Diego Urbina, Klaus Richter
We consider the many-body spectra of interacting bosonic quantum fields on a lattice in the semiclassical limit of large particle number . We show that the many-body density of…
Aspects of integrability in a classical model for non-interacting fermionic fields
Simon Grosse-Holz, Thomas Engl, Klaus Richter +1
In this work we investigate the issue of integrability in a classical model for noninteracting fermionic fields. This model is constructed via classical-quantum correspondence obta…
Boson Sampling as Canonical Transformation: A semiclassical approach in Fock space
Thomas Engl, Juan Diego Urbina, Quirin Hummel +1
We show that a theory of complex scattering between many-body (Fock) states can be constructed such that its classical limit is a canonical transformation thus encoding quantum int…
A Statistical Benchmark for BosonSampling
Mattia Walschaers, Jack Kuipers, Juan-Diego Urbina +4
Computing the state of a quantum mechanical many-body system composed of indistinguishable particles distributed over a multitude of modes is one of the paradigmatic test cases of…
Multiparticle correlations in mesoscopic scattering: boson sampling, birthday paradox, and Hong-Ou-Mandel profiles
Juan-Diego Urbina, Jack Kuipers, Quirin Hummel +2
The interplay between single-particle interference and quantum indistinguishability leads to signature correlations in many-body scattering. We uncover these with a semiclassical c…
Scattering of quantum wave packets by shallow potential islands: A quantum lens
Arseni Goussev, Klaus Richter
We consider the problem of quantum scattering of a localized wave packet by a weak Gaussian potential in two spatial dimensions. We show that, under certain conditions, this proble…
A geometrical approach to the mean density of states in many-body quantum systems
Quirin Hummel, Juan Diego Urbina, Klaus Richter
We present a novel analytical approach for the calculation of the mean density of states in many-body systems made of confined indistinguishable and non-interacting particles. Our…
Semiclassical analysis of level widths for one-dimensional potentials
Gert-Ludwig Ingold, Rodolfo A. Jalabert, Klaus Richter
We present a semiclassical study of level widths for a class of one-dimensional potentials in the presence of an ohmic environment. Employing an expression for the dipole matrix el…