29 research outputs found
Anderson localization in generalized discrete time quantum walks
We study Anderson localization in a generalized discrete time quantum walk -
a unitary map related to a Floquet driven quantum lattice. It is controlled by
a quantum coin matrix which depends on four angles with the meaning of
potential and kinetic energy, and external and internal synthetic flux. Such
quantum coins can be engineered with microwave pulses in qubit chains. The
ordered case yields a two-band eigenvalue structure on the unit circle which
becomes completely flat in the limit of vanishing kinetic energy. Disorder in
the external magnetic field does not impact localization. Disorder in all the
remaining angles yields Anderson localization. In particular, kinetic energy
disorder leads to logarithmic divergence of the localization length at spectral
symmetry points. Strong disorder in potential and internal magnetic field
energies allows to obtain analytical expressions for spectrally independent
localization length which is highly useful for various applications.Comment: 11 pages, 14 figure
Signatures of many-body localization in steady states of open quantum systems
Many-body localization (MBL) is a result of the balance between
interference-based Anderson localization and many-body interactions in an
ultra-high dimensional Fock space. It is usually expected that dissipation is
blurring interference and destroying that balance so that the asymptotic state
of a system with an MBL Hamiltonian does not bear localization signatures. We
demonstrate, within the framework of the Lindblad formalism, that the system
can be brought into a steady state with non-vanishing MBL signatures. We use a
set of dissipative operators acting on pairs of connected sites (or spins), and
show that the difference between ergodic and MBL Hamiltonians is encoded in the
imbalance, entanglement entropy, and level spacing characteristics of the
density operator. An MBL system which is exposed to the combined impact of
local dephasing and pairwise dissipation evinces localization signatures
hitherto absent in the dephasing-outshaped steady state.Comment: 6 pages, 3 figure
Almost compact moving breathers with fine-tuned discrete time quantum walks
Discrete time quantum walks are unitary maps defined on the Hilbert space of
coupled two-level systems. We study the dynamics of excitations in a nonlinear
discrete time quantum walk, whose fine-tuned linear counterpart has a flat band
structure. The linear counterpart is, therefore, lacking transport, with exact
solutions being compactly localized. A solitary entity of the nonlinear walk
moving at velocity would therefore not suffer from resonances with small
amplitude plane waves with identical phase velocity, due to the absence of the
latter. That solitary excitation would also have to be localized stronger than
exponential, due to the absence of a linear dispersion. We report on the
existence of a set of stationary and moving breathers with almost compact
superexponential spatial tails. At the limit of the largest velocity the
moving breather turns into a completely compact bullet.Comment: 8 pages, 8 figure
Heat percolation in many-body flatband localizing systems
Translationally invariant finetuned single-particle lattice Hamiltonians host
flat bands only. Suitable short-range many-body interactions result in complete
suppression of particle transport due to local constraints and Many-Body
Flatband Localization. Heat can still flow between spatially locked charges. We
show that heat transport is forbidden in dimension one. In higher dimensions
heat transport can be unlocked by tuning filling fractions across a percolation
transition for suitable lattice geometries. Transport in percolation clusters
is additionally affected by effective bulk disorder and edge scattering induced
by the local constraints, which work in favor of arresting the heat flow. We
discuss explicit examples in one and two dimensions
Forward modeling of collective Thomson scattering for Wendelstein 7-X plasmas: Electrostatic approximation
In this paper, we present a method for numerical computation of collective Thomson scattering (CTS). We developed a forward model, eCTS, in the electrostatic approximation and benchmarked it against a full electromagnetic model. Differences between the electrostatic and the electromagnetic models are discussed. The sensitivity of the results to the ion temperature and the plasma composition is demonstrated. We integrated the model into the Bayesian data analysis framework Minerva and used it for the analysis of noisy synthetic data sets produced by a full electromagnetic model. It is shown that eCTS can be used for the inference of the bulk ion temperature. The model has been used to infer the bulk ion temperature from the first CTS measurements on Wendelstein 7-X
Towards a new image processing system at Wendelstein 7-X: From spatial calibration to characterization of thermal events
Wendelstein 7-X (W7-X) is the most advanced fusion experiment in the stellarator line and is aimed at proving that the stellarator concept is suitable for a fusion reactor. One of the most important issues for fusion reactors is the monitoring of plasma facing components when exposed to very high heat loads, through the use of visible and infrared (IR) cameras. In this paper, a new image processing system for the analysis of the strike lines on the inboard limiters from the first W7-X experimental campaign is presented. This system builds a model of the IR cameras through the use of spatial calibration techniques, helping to characterize the strike lines by using the information given by real spatial coordinates of each pixel. The characterization of the strike lines is made in terms of position, size, and shape, after projecting the camera image in a 2D grid which tries to preserve the curvilinear surface distances between points. The description of the strike-line shape is made by means of the Fourier Descriptors