301 citations · 3.5k across the 94 of their papers we have counts for
16 papers · 1 filter
Tunneling in the self-trapped regime of a two-well BEC
Tadeusz Pudlik, Holger Hennig, Dirk Witthaut +1
Starting from a mean-field model of the Bose-Einstein condensate dimer, we reintroduce classically forbidden tunneling through a Bohr-Sommerfeld quantization approach. We find clos…
Stochastic resonance driven by quantum shot noise in superradiant Raman scattering
D. Witthaut
We discuss the effects of noise on the timing and strength of superradiant Raman scattering from a small dense sample of atoms. We demonstrate a genuine quantum stochastic resonanc…
Global Phase Space of Coherence and Entanglement in a double-well BEC
Holger Hennig, Dirk Witthaut, David K. Campbell
Ultracold atoms provide an ideal system for the realization of quantum technologies, but also for the study of fundamental physical questions such as the emergence of decoherence a…
Quantum walks and quantum simulations with Bloch oscillating spinor atoms
D. Witthaut
We propose a scheme for the realization of a quantum walker and a quantum simulator for the Dirac equation with ultracold spinor atoms in driven optical lattices. A precise control…
Nonlinear Landau-Zener tunneling in quantum phase space
F. Trimborn, D. Witthaut, V. Kegel +1
We present a detailed analysis of the Landau-Zener problem for an interacting Bose-Einstein condensate in a time-varying double-well trap, especially focussing on the relation betw…
Dissipation induced coherence and stochastic resonance of an open two-mode Bose-Einstein condensate
D. Witthaut, F. Trimborn, S. Wimberger
We discuss the dynamics of a Bose-Einstein condensate in a double-well trap subject to phase noise and particle loss. The phase coherence of a weakly-interacting condensate, experi…
Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model
F. Trimborn, D. Witthaut, H. J. Korsch
The dynamics of M-site, N-particle Bose-Hubbard systems is described in quantum phase space constructed in terms of generalized SU(M) coherent states. These states have a special s…
Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
F. Trimborn, D. Witthaut, H. J. Korsch
The number-conserving quantum phase space description of the Bose-Hubbard model is discussed for the illustrative case of two and three modes, as well as the generalization of the…
On two-dimensional Bessel functions
H. J. Korsch, A. Klumpp, D. Witthaut
The general properties of two-dimensional generalized Bessel functions are discussed. Various asymptotic approximations are derived and applied to analyze the basic structure of th…
Uniform semiclassical approximations of the nonlinear Schroedinger equation by a Painleve mapping
D. Witthaut, H. J. Korsch
A useful semiclassical method to calculate eigenfunctions of the Schroedinger equation is the mapping to a well-known ordinary differential equation, as for example Airy's equation…
Manipulation of matter waves using Bloch and Bloch-Zener oscillations
B. M. Breid, D. Witthaut, H. J. Korsch
We present theoretical and numerical results on the dynamics of ultracold atoms in an accelerated single- and double-periodic optical lattice. In the single-periodic potential Bloc…
Bloch-Zener oscillations
B. M. Breid, D. Witthaut, H. J. Korsch
It is well known that a particle in a periodic potential with an additional constant force performs Bloch oscillations. Modulating every second period of the potential, the origina…
Towards a Landau-Zener formula for an interacting Bose-Einstein condensate
D. Witthaut, E. M. Graefe, H. J. Korsch
We consider the Landau-Zener problem for a Bose-Einstein condensate in a linearly varying two-level system, for the full many-particle system as well and in the mean-field approxim…
Mean-field dynamics of a Bose-Einstein condensate in a time-dependent triple-well trap: Nonlinear eigenstates, Landau-Zener models and STIRAP
E. M. Graefe, H. J. Korsch, D. Witthaut
We investigate the dynamics of a Bose--Einstein condensate (BEC) in a triple-well trap in a three-level approximation. The inter-atomic interactions are taken into account in a mea…
Two-dimensional Bloch oscillations: A Lie-algebraic approach
S. Mossmann, A. Schulze, D. Witthaut +1
A Lie-algebraic approach successfully used to describe one-dimensional Bloch oscillations in a tight-binding approximation is extended to two dimensions. This extension has the sam…
Relation between discrete and continuous teleportation using linear elements
Dirk Witthaut, Michael Fleischhauer
We discuss the relation between discrete and continuous linear teleportation, i.e. teleportation schemes that use only linear optical elements and photodetectors. For this the exis…