Cloaking matter waves around a Dirac monopole

CLOAKING AND INVISIBILITY: A REVIEW (Invited Review)

“…Because any particle has wave-like properties at the quantum scale, it may be possible to cloak them, effectively rendering matter invisible to these waves, or particle beams. In a pioneering paper [251], it was shown that a potential distribution of finite extent can be cloaked from matter waves providing the potential distribution is surrounded by a quantum cloak made of a medium with specific anisotropic inhomogeneous effective mass and potential [251][252][253][254][255]. This is obtained by applying the transformation method to the effective-mass Schrodinger equation, which is form-invariant under coordinate transformations.…”

Multidimensional transformation design method for matter waves

“…Motivated by the concept of the transformation design developed in transformation optics [1][2][3], controlling matter waves to create an invisible region has recently been of much interest [4][5][6][7]. It has been shown that matter waves could be controlled to propagate along a spherical shell without suffering any scattering, leaving an invisible region, by using a transformation design method (TDM) that reinterprets the transformation structure of coordinates as the effective coordinate-dependent factor of mass and potential in the original untransformed system [4,6].…”

“…It nevertheless needs to provide infinite many ring-shaped different potentials to approach perfect cloaking [5]. Recently, it was shown that invisible cloaks for a matter wave under the global effect of a magnetic flux, and interacting with the field of a Dirac monopole, could be designed [6,7]. The TDM of matter waves is thus applicable to controlling an interacting matter wave, producing an invisible region.…”

Furtive quantum sensing using matter-wave cloaks

“…The effect is a low-observable quantum sensor with drastically reduced elastic scattering and optimized absorption levels, a concept that opens interesting venues in particle detection, high-efficiency electrical pumping and quantum supercomputing. PACS: 03.75.-b, 78.67.Pt, 85.35.Be, 34.80.Gs, 73.63.Hs.The enticing possibility of inducing invisibility with passive metamaterial coatings has drawn considerable attention over the past few years, leading to the formulation of different approaches for electromagnetic [1][2][3][4][5][6][7][8][9][10][11][12][13], acoustic [14-24], and more recently matter waves [25][26][27][28][29][30][31][32][33]. Among these techniques, the transformation-optics method redirects the impinging wave around a concealed region, in such a way that any form of scattering is eliminated [1][2][3][4][5][14][15][16][17][18][19][20][21][25][26][27][28][29][30].…”

“…As an alternative method, the scattering cancellation approach utilizes homogeneous and isotropic shells to suppress the dominant scattering terms in the scattered field expansion, leading to substantial scattering reduction for moderately sized objects, with arguably simpler practical designs [6][7][8][9][10][11][12][13][22][23][24][31][32][33]. Both methods have been recently applied to matter waves [25][26][27][28][29][30][31][32][33], showing that it may be possible to drastically suppress elastic particle scattering off a quantum object by suitably coating it with metamaterials with specifically tailored effective mass m and potential V .…”