For concreteness, we consider the invisibility cloak of the electromagnetic waves and the electron matter waves.
IVISIBLE COAT HOW TO
Motivated by these developments, we ask the question: how to crack an invisibility cloak when a nearly perfect cloak is built? Given the fact that some quntum effect, such as dephasing, is almost inevitable for the waves passing through a material, we consider the possibility that using the temporal steering to crack the invisibility cloak. Moreover, the classical bound of temporal steering inequality is found to have deep connection with the quantum cryptography. Recently, a temporal analog of the steering inequality-the temporal steering inequality 31-also focuses on the correlations of a single party at different times. It can be used to verify the quantum coherence of a macroscopic system under the weak measurements 30. For example, Leggett and Garg derived an inequality 28, 29 under the assumption of macroscopic realism and non-invasive measurement. Apart from the correlations between two (or more) parties, quantum correlations may also occur in single party at different times. EPR steering can be verified via the steering inequalities 27, which are built on the fact that the correlations cannot be explained by the local hidden state model.
The degree of the non-locality of EPR steering is stronger than the entanglement but weaker than the Bell non-locality 26. Waves incident onto the cloak designed by the TDM are guided through the cloaking shell without any scattering and distortion.Įinstein-Podolsky-Rosen (EPR) steering 24, 25, 26, 27 is one of the quantum correlations that allows one party to remotely prepare some specific states for the other party via choosing different measurement settings. There are also other kinds of cloak, such as cloaking of elastic waves 9, 10, 11, 12, 13, 14, liquid waves 15, 16, heat flows 17, 18, etc. Similarly, cloaking of matter waves 4, 5, 6, 7, 8, 19, 20, 21, 22, 23 requires a proper design of the effective mass and potential of the cloaking shell.
For instance, the TDM for electromagnetic waves 1, 2, 3 reinterprets the effect of the coordinate transformation in conductivity and permeability of the original non-transformed system. To keep the form of the equation invariant, the metric tensors are combined with the specific parameters, which are usually the properties of the material of the cloaking shell. The main idea of the TDM is to perform the coordinate transformation on the wave equation of the corresponding cloaking wave to create the hiding region ( Fig. Invisibility cloak based on the transformation design method (TDM) has attracted great attentions in the past decade 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18.
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