Quantum Transport
1. Quantum Transport in Internal Degrees of Freedom
Would you have guessed that the dynamics of the electron in the hydrogen atom can be
chaotic? It can indeed be very complex when the atom is exposed to a time-periodic driving force,
especially in the regime of highly excited Rydberg orbits where the sensitivity of states is large.
The electronic motion is best described in energy space, in which the electron can gain energy by the
drive and eventually it may ionise. Classically, the electronic dynamics is typically chaotic, meaning that
a slight change in the initial conditions may lead to a completely different classical trajectory. Quantum
mechanically, the electronic dynamics can be stabilised by dynamical localisation. Moreover, Rydberg atoms
are good playground to study fundamental aspects of transport in mixed regular-chaotic phase space.
Chaos-assisted tunnelling and the stability of quantum wave packets anchored to classically stable regions
in phase space are just a few aspects we are looking at.
2. Quantum Transport in External Degrees of Freedom
Ultracold atoms loaded into optical lattices open a new arena for the
experimental investigation of quantum transport phenomena in spatially periodic potentials.
Possibly amended by particle-particle interactions and decoherence, external
perturbations (such as static and/or time-dependent fields) modify the dynamics of
ultracold quantum matter. We try to understand the underlying phenomena in detail, and to
use our understanding for the controlling and engineering of complex quantum dynamics in ultracold matter.
Our research in this field is inspired and partially guided by ongoing
experiments at Auckland (New Zealand), Kaiserslautern (Germany), Pisa (Italy), Stillwater (USA), Tokyo (Japan).
Phase space portrait (inset) and energy increase as a function of the scaled interaction time
of kicked cold atoms in the semiclassical limit (left), and rescaled energy as a function of the single
scaling parameter in the semiclassical limit (blue) and near to ballistic quantum resonant motion (red).
3. Mixing Internal and External Degrees of Freedom
Combining the above two aspects of quantum transport is highly interesting for various proposals of
quantum computers and for the engineering of entanglement between extern and internal degrees of freedom.
Different atomic energy levels, for instance, usually couple differently to external fields,
allowing for a direct measurement of the overlap of differently evolved states, an observable named "fidelity".
Publications
G. Summy and S. Wimberger
Quantum random walk of a Bose-Einstein condensate in momentum space,
Phys. Rev. A 93, 023638 (2016)
R. Labouvie, B. Santra, S. Heun, S. Wimberger, and H. Ott
Negative differential conductivity in an interacting quantum gas,
Phys. Rev. Lett. 115, 050601 (2015)
A. Ivanov, G. Kordas, A. Komnik, and S. Wimberger
Bosonic transport through a chain of quantum dots,
Eur. Phys. J. B 86, 345 (2013)
B. Herwerth, M. DeKieviet, J. Madronero, and S. Wimberger
Quantum reflection from an oscillating surface,
J. Phys. B 46, 141002(FTC) (2013)
T. Schell, M. Sadgrove, K. Nakagawa, and S. Wimberger
Engineering transport by concatenated maps,
Fluctuation and Noise Letters 12, 1340004 (2013)
S. Micciche, A. Buchleitner, F. Lillo, R. Mantegna, T. Paul, and S. Wimberger
Scale-free relaxation of a wave packet in a quantum well with power-law tails,
NJP 15, 033033 (2013)
A. Kolovsky, J. Link, and S. Wimberger
Energetically constrained co-tunneling of cold atoms,
New J. Phys. 14, 075002 (2012)
M. Sadgrove, S. Wimberger, and K. Nakagawa
Phase-selected momentum transport in ultra-cold atoms,
Eur. Phys. J. D 66, 155 (2012)
G. Tayebirad, R. Mannella, and S. Wimberger
Engineering interband transport by time-dependent disorder,
Phys. Rev. A 84, 031605(R) (2011)
P. Plötz, J. Madronero, and S. Wimberger
Collapse and revival in inter-band oscillations of a two-band
Bose-Hubbard model, J. Phys. B 43,
081001(FTC) (2010)
M. Abb, I. Guarneri, and S. Wimberger
Pseudoclassical theory for fidelity of nearly resonant quantum rotors,
Phys. Rev. E 80, 035206(R) (2009)
M. Sadgrove and S. Wimberger
Pseudo-classical theory for directed transport at quantum resonance,
New J.
Phys. 11, 083027 (2009)
A. Zenesini, H. Lignier, G. Tayebirad, J. Radogostowicz, D. Ciampini, R. Mannella, S. Wimberger, O. Morsch, and E. Arimondo
Time-resolved
measurement of Landau-Zener tunneling in periodic potentials, Phys.
Rev. Lett. 103, 090403 (2009)
D. Witthaut, F. Trimborn, and S. Wimberger
Dissipation-induced coherence and stochastic resonance of an open two-mode Bose-Einstein condensate, Phys. Rev. A 79, 033621 (2009)
D. Witthaut, F. Trimborn, and S. Wimberger
Dissipation induced coherence of a two-mode Bose-Einstein condensate, Phys. Rev. Lett. 101, 200402 (2008)
M. Sadgrove, S. Wimberger, S. Parkins, and R. Leonhardt
Scaling law and stability for a noisy quantum system,
Phys. Rev. E 78, 025206(R) (2008)
F. Trimborn, D. Witthaut, and S. Wimberger
Mean-field dynamics of a two-mode Bose-Einstein condensate subject to noise and dissipation,
J. Phys. B 41, 171001(FTC) (2008)
A. Zenesini, C. Sias, H. Lignier, Y. Singh, D. Ciampini, O. Morsch,
R. Mannella, E. Arimondo, A. Tomadin, and S. Wimberger
Resonant tunneling of Bose-Einstein condensates in optical lattices,
New J. Phys. 10, 053038 (2008)
P. Buonsante and S. Wimberger
Engineering many-body quantum dynamics by disorder,
Phys. Rev. A 77, 041606(R) (2008)
A. Tomadin, R. Mannella, and S. Wimberger
Many-body Landau-Zener tunneling in the Bose-Hubbard model,
Phys. Rev. A 77, 013606 (2008)
A. Tomadin, R. Mannella, and S. Wimberger
Many-body interband tunneling as a witness for complex dynamics in the Bose-Hubbard model,
Phys. Rev. Lett. 98, 130402 (2007)
C. Sias, A. Zenesini, H. Lignier, S. Wimberger, D. Ciampini, O. Morsch, and E. Arimondo
Resonantly enhanced tunneling of Bose-Einstein condensates in periodic potentials,
Phys. Rev. Lett. 98, 120403 (2007)
S. Wimberger, D. Ciampini, O. Morsch, R. Mannella, and E. Arimondo
Engineered quantum transport in extended periodic potentials,
J. Phys. Conf. Ser. 67, 012060 (2007)
R. Khomeriki, S. Ruffo, and S. Wimberger
Driven Collective Quantum Tunneling of Ultracold Atoms in Engineered Optical Lattices ,
Europhys. Lett. 77, 40005 (2007)
A. Facchini, S. Wimberger, and A. Tomadin
Multifractal fluctuations in the survival probability of an open quantum system,
Physica A 376, 266-274 (2007)
E. Persson, S. Fuhrthauer, S. Wimberger, and J. Burgdörfer
Transient localization in the kicked Rydberg atom ,
Phys. Rev. A 74, 053417 (2006)
G. Carlo, G. Benenti, G. Casati, S. Wimberger, O. Morsch, R. Mannella,
and E. Arimondo
Chaotic ratchet dynamics with cold atoms in a pair of pulsed optical lattices,
Phys. Rev. A 74, 033617 (2006)
S. Wimberger, P. Schlagheck, Ch. Eltschka, and A. Buchleitner
Resonance-Assisted Decay of Nondispersive Wave Packets,
Phys. Rev. Lett. 97, 043001 (2006)
J. Madronero, A. Ponomarev, A.R.R. Carvalho, S. Wimberger, C. Viviescas, A.R. Kolovsky, K. Hornberger, P. Schlagheck, A. Krug, and A. Buchleitner
Quantum chaos, transport, and control - in quantum optics, in: M. Scully and G. Rempe (Eds.), Adv. At. Mol. Opt. Phys.
53, 33, Elsevier, Amsterdam 2006
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