47 research outputs found
Optimal laser-control of double quantum dots
Coherent single-electron control in a realistic semiconductor double quantum
dot is studied theoretically. Using optimal-control theory we show that the
energy spectrum of a two-dimensional double quantum dot has a fully
controllable transition line. We find that optimized picosecond laser pulses
generate population transfer at significantly higher fidelities (>0.99) than
conventional sinusoidal pulses. Finally we design a robust and fast charge
switch driven by optimal pulses that are within reach of terahertz laser
technology.Comment: 5 pages, 4 figure
Optimal Control of Quantum Rings by Terahertz Laser Pulses
Complete control of single-electron states in a two-dimensional semiconductor
quantum-ring model is established, opening a path into coherent laser-driven
single-gate qubits. The control scheme is developed in the framework of optimal
control theory for laser pulses of two-component polarization. In terms of
pulse lengths and target-state occupations, the scheme is shown to be superior
to conventional control methods that exploit Rabi oscillations generated by
uniform circularly polarized pulses. Current-carrying states in a quantum ring
can be used to manipulate a two-level subsystem at the ring center. Combining
our results, we propose a realistic approach to construct a laser-driven
single-gate qubit that has switching times in the terahertz regime.Comment: Phys. Rev. Lett. (in print) (2007
Optimal Control of charge transfer
In this work, we investigate how and to which extent a quantum system can be
driven along a prescribed path in space by a suitably tailored laser pulse. The
laser field is calculated with the help of quantum optimal control theory
employing a time-dependent formulation for the control target. Within a
two-dimensional (2D) model system we have successfully optimized laser fields
for two distinct charge transfer processes. The resulting laser fields can be
understood as a complicated interplay of different excitation and de-excitation
processes in the quantum system
Tailoring laser pulses with spectral and fluence constraints using optimal control theory
Within the framework of optimal control theory we develop a simple iterative
scheme to determine optimal laser pulses with spectral and fluence constraints.
The algorithm is applied to a one-dimensional asymmetric double well where the
control target is to transfer a particle from the ground state, located in the
left well, to the first excited state, located in the right well. Extremely
high occupations of the first excited state are obtained for a variety of
spectral and/or energetic constraints. Even for the extreme case where no
resonance frequency is allowed in the pulse the algorithm achieves an
occupation of almost 100%
Optimal control of time-dependent targets
In this work, we investigate how and to which extent a quantum system can be
driven along a prescribed path in Hilbert space by a suitably shaped laser
pulse. To calculate the optimal, i.e., the variationally best pulse, a properly
defined functional is maximized. This leads to a monotonically convergent
algorithm which is computationally not more expensive than the standard
optimal-control techniques to push a system, without specifying the path, from
a given initial to a given final state. The method is successfully applied to
drive the time-dependent density along a given trajectory in real space and to
control the time-dependent occupation numbers of a two-level system and of a
one-dimensional model for the hydrogen atom.Comment: less typo
Quantum control with spectral constraints
Various constraints concerning control fields can be imposed in the realistic
implementations of quantum control systems. One of the most important is the
restriction on the frequency spectrum of acceptable control parameters. It is
important to consider the limitations of experimental equipment when trying to
find appropriate control parameters. Therefore, in this paper we present a
general method of obtaining a piecewise-constant controls, which are robust
with respect to spectral constraints. We consider here a Heisenberg spin chain,
however the method can be applied to a system with more general interactions.
To model experimental restrictions we apply an ideal low-pass filter to
numerically obtained control pulses. The usage of the proposed method has
negligible impact on the control quality as opposed to the standard approach,
which does not take into account spectral limitations.Comment: 6 pages, 4 figure
Optimal Control of Superconducting N-level quantum systems
We consider a current-biased dc SQUID in the presence of an applied
time-dependent bias current or magnetic flux. The phase dynamics of such a
Josephson device is equivalent to that of a quantum particle trapped in a D
anharmonic potential, subject to external time-dependent control fields, {\it
i.e.} a driven multilevel quantum system. The problem of finding the required
time-dependent control field that will steer the system from a given initial
state to a desired final state at a specified final time is formulated in the
framework of optimal control theory. Using the spectral filter technique, we
show that the selected optimal field which induces a coherent population
transfer between quantum states is represented by a carrier signal having a
constant frequency but which is time-varied both in amplitude and phase. The
sensitivity of the optimal solution to parameter perturbations is also
addressed
On the thermalization of a Luttinger liquid after a sequence of sudden interaction quenches
We present a comprehensive analysis of the relaxation dynamics of a Luttinger
liquid subject to a sequence of sudden interaction quenches. We express the
critical exponent governing the decay of the steady-state propagator as
an explicit functional of the switching protocol. At long distances
depends only on the initial state while at short distances it is also history
dependent. Continuous protocols of arbitrary complexity can be realized with
infinitely long sequences. For quenches of finite duration we prove that there
exist no protocol to bring the initial non-interacting system in the ground
state of the Luttinger liquid. Nevertheless memory effects are washed out at
short-distances. The adiabatic theorem is then investigated with
ramp-switchings of increasing duration, and several analytic results for both
the propagator and the excitation energy are derived.Comment: 7 pages, 4 figure
Hubbard ring: currents induced by change of magnetic flux
We investigate currents in a quantum ring threaded by a magnetic flux which
can be varied in an arbitrary way from an initial value at time
to a final value at time . Dynamics of electrons in the ring is
described by the Hubbard and the extended Hubbard models. We demonstrate that
time dependence of the induced current bears information on electron
correlations. In the case of the Hubbard model with infinite on--site repulsion
we prove that the current for is independent of the flux variation
before . Additionally, this current is fully determined by a solution of
the initial equilibrium problem and the value of . Apart from
mesoscopic rings our results pose important implications for designing of
quantum motors built out as the ring--shaped optical lattice
Quantum control theory for coupled 2-electron dynamics in quantum dots
We investigate optimal control strategies for state to state transitions in a
model of a quantum dot molecule containing two active strongly interacting
electrons. The Schrodinger equation is solved nonperturbatively in conjunction
with several quantum control strategies. This results in optimized electric
pulses in the THz regime which can populate combinations of states with very
short transition times. The speedup compared to intuitively constructed pulses
is an order of magnitude. We furthermore make use of optimized pulse control in
the simulation of an experimental preparation of the molecular quantum dot
system. It is shown that exclusive population of certain excited states leads
to a complete suppression of spin dephasing, as was indicated in Nepstad et al.
[Phys. Rev. B 77, 125315 (2008)].Comment: 24 pages, 9 figure