Klein tunneling in driven-dissipative photonic graphene

Ozawa, Tomoki; Amo, A.; Bloch, J.; Carusotto, Iacopo

doi:10.1103/physreva.96.013813

Cited by 24 publications

(12 citation statements)

References 66 publications

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“…Klein tunneling was first envisioned in relativistic quantum physics [42] and experimentally observed in graphene which exhibits pseudospin-1/2 carrier dynamics [1][2][3]. Photonic analog of this 2D material, i.e., the photonic graphene, provides a platform for observing the Klein tunneling in the classical wave system [43,44]. It has also been demonstrated that the "super" Klein tunneling effect, i.e., total transmission for all incident angles, is supported in the photonic pseudospin-1 systems which exhibit Dirac-like cone band dispersions [22], the mechanism of which has also been understood from the concept of "complementary materials" in EM wave theory [22].…”

Section: A Klein Tunnelingmentioning

confidence: 99%

Effective medium theory for a photonic pseudospin- 12 system

et al. 2020

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Photonic pseudospin-1/2 systems, which exhibit Dirac cone dispersion at Brillouin zone corners in analogy to graphene, have been extensively studied in recent years.However, it is known that a linear band crossing of two bands cannot emerge at the center of Brillouin zone in a two-dimensional photonic system respecting time reversal symmetry. Using a square lattice of elliptical magneto-optical cylinders, we constructed an unpaired Dirac point at the Brillouin zone center as the intersection of the second and third bands corresponding to the monopole and dipole excitations.Effective medium theory can be applied to the two linearly crossed bands with the effective constitutive parameters numerically calculated using the boundary effective medium approach. It is shown that only the effective permittivity approaches zero while the determinant of the nonzero effective permeability vanishes at the Dirac point frequency, showing a different behavior from the double-zero index metamaterials obtained from the pseudospin-1 triply degenerate points for time reversal symmetric systems. Exotic phenomena, such as the Klein tunneling and Zitterbewegung, in the pseudospin-1/2 system can be well understood from the effective medium description. When the Dirac point is lifted, the edge state dispersion near the Γ point can be accurately predicted by the effective constitutive parameters.We also further realized magneto-optical complex conjugate metamaterials for a wide frequency range by introducing a particular type of non-Hermittian perturbations which make the two linear bands coalescence to form exceptional points at the real frequency.

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Section: A Klein Tunnelingmentioning

confidence: 99%

Effective medium theory for a photonic pseudospin- 12 system

et al. 2020

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“…Finally, we note the intensive experimental activities in simulating the honeycomb lattices by cold atoms and optical lattices 64 . In particular, the possibility of Klein tunneling in these system has been examined [65][66][67][68][69] and observed recently 70,71 . These simulated graphene systems may provide an alternative platform for observing the perfect transmission at oblique incidence.…”

Section: B Experimental Feasibilitymentioning

confidence: 99%

Perfect transmission at oblique incidence by trigonal warping in graphene P-N junctions

Zhang

Yang

2018

Phys. Rev. B

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We develop an analytical mode-matching technique for the tight-binding model to describe electron transport across graphene P-N junctions. This method shares the simplicity of the conventional mode-matching technique for the low-energy continuum model and the accuracy of the tight-binding model over a wide range of energies. It further reveals an interesting phenomenon on a sharp P-N junction: the disappearance of the well-known Klein tunneling (i.e., perfect transmission) at normal incidence and the appearance of perfect transmission at oblique incidence due to trigonal warping at energies beyond the linear Dirac regime. We show that this phenomenon arises from the conservation of a generalized pseudospin in the tight-binding model. We expect this effect to be experimentally observable in graphene and other Dirac fermions systems, such as the surface of threedimensional topological insulators.

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“…Although the requirement for all the modes to have equal loss rates is a significant restriction, there are many physical systems made of identical elements, for which the losses are expected to be be equal, so the theorem applies. For examples, we can look to photonic lattice structures [18,19], arrays of semiconductor micro cavities with same detuning [20] and continuous systems, like waveguide or waveguide networks with isotropic geometry [21].…”

Section: Conservation Of Gmentioning

confidence: 99%

Conservation of Quantum Correlations in Multimode Systems with U(1) Symmetry

2018

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We present a theoretical investigation of the properties of quantum correlation functions in a multimode system. We define a total mth order equal-time correlation function, summed over all modes, which is shown to be conserved if the Hamiltonian possesses U(1) symmetry. It is also conserved in the presence of dissipation, provided the loss rate is the same for all modes of the system. As examples, we demonstrate this conservation using numerical simulations of a coupled cavity system and the Jaynes-Cummings model.

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Klein tunneling in driven-dissipative photonic graphene

Cited by 24 publications

References 66 publications

Effective medium theory for a photonic pseudospin- 12 system

Effective medium theory for a photonic pseudospin- 12 system

Perfect transmission at oblique incidence by trigonal warping in graphene P-N junctions

Conservation of Quantum Correlations in Multimode Systems with U(1) Symmetry

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