To clarify the concept of the local basis, it is worth starting our discussion by a paradigmatic example: the 1d quantum Ising model in a longitudinal ﬁeld (generically a non-integrable model).
Quench Dynamics in Randomly Generated Extended Quantum Models
Paradigmatic setups include the photonic streams of cavity or circuit QED with a cavity mode as the ancillary system [19–26] and the sequential generation of electron-spin entangled states in quantum dot setups utilizing a completely mixed nuclear spin bath as the ancilla .
Sequential quantum cloning under real-life conditions
The theory presented here represents a paradigmatic shift on what means to interpret and formulate a closed physical theory.
On the Nature of Reality
First, in terms of the baker map, which is a paradigmatic example for e.g. the fractal structure of chaotic attractors or saddles, a number of T iterations determine the scaling of geometry down to a size ε ∝ |λ(cid:48) |T (see Example 2 of Sec.
Stochastic perturbations in open chaotic systems: random versus noisy maps
Thus far, random walks on binary networks have been extensively studied, leading to important understanding of this paradigmatic dynamical process and uncovering the effects of the underlying network structure on the behavior of random-walk dynamics .
Random walks on weighted networks
We have mentioned the paradigmatical case of ecosystems as well as ﬁnancial and communications networks.
Interplay between Network Topology and Dynamics in Neural Systems
The random walk is a paradigmatic stochastic process which underlies a vast variety of phenomena in physics, chemistry and biology (see, e.g., ).
On the non-equivalence of two standard random walks
The paradigmatic example is the strong-weak coupling duality of N = 4 supersymmetric Yang-Mills theory under which theories with couplings τ and −1/τ are identiﬁed.
S-Duality and Global Symmetries in N=2 Supersymmetric Field Theory
The latter model is a paradigmatic one in the theory of Anderson localization.
Fluctuations in random $RL-C$ networks: non-linear $\sigma-$ model description
Consider the paradigmatic case of Brans-Dicke (BD) theory to ﬁx ideas.
Anthropic Reasons for Non-Zero Flatness and Lambda
The α = 0 model (HMF) clearly is d-independent and is paradigmatic of what happens for any α such that 0 ≤ α/d < 1.
Nonextensive statistical mechanics: A brief review of its present status
This method is best illustrated by the paradigmatic case of the factorially divergent series.
Perturbative--nonperturbative connection in quantum mechanics and field theory
On the theoretical side, the only concept that has not yet undergone signiﬁcant revision or criticism is the paradigmatic statement that planets form within gaseous disks around young T Tauri stars.
Astrometric Methods and Instrumentation to Identify and Characterize Extrasolar Planets: A Review
This is the goal of the present Letter: to fully understand the properties of the localization regime as a function of the nanowire length, temperature, density of defects and strength of the defect scattering potential for the paradigmatic (10,10)-chirality.
Anderson localization in carbon nanotubes: defect density and temperature effects
The paradigmatic situation we consider is one where the investigator views some departures from the hypothesized model as being of primary importance, with others of interest if suﬃciently gross, but otherwise secondary.
Tailor-made tests for goodness of fit to semiparametric hypotheses