Single-photon-triggered quantum chaos

We demonstrate how to manipulate quantum chaos with a single photon in a hybrid quantum device combining cavity QED and optomechanics. Specifically, we show that this system changes between integrable and chaotic relying on the photon-state of the injected field. This onset of chaos originates from the photon-dependent chaotic threshold of the qubit-field coupling induced by the optomechanical interaction. By deriving the Loschmidt Echo we observe clear differences in the sensitivity to perturbations in the regular versus chaotic regimes. We also present classical analog of this chaotic behavior, and find good correspondence between chaotic quantum dynamics and classical physics. Our work opens up a new route to achieve quantum manipulations, which are crucial elements in engineering new types of on-chip quantum devices and quantum information science.Comment: 11 pages, 4 figure

(E)-2-[(2-Amino-4,5-dibromo­phen­yl)imino­meth­yl]-6-methoxy­phenol

The title compound, C14H12Br2N2O2, was prepared from the condensation of 4,5-dibromo-1,2-phenyl­enediamine and 2-hydr­oxy-3-methoxy­benzaldehyde in methanol. The N=C double bond shows a trans conformation and the dihedral angle between the aromatic ring planes is 5.9 (4)°. In the crystal structure, there are intra­molecular O—H⋯N and N—H⋯N and inter­molecular N—H⋯O hydrogen bonds, the latter resulting in inversion dimers

Di-μ-chlorido-bis­[chlorido(N,N-di­methyl­ethylenediamine-κ2 N,N′)zinc(II)]

The centrosymmetric dinuclear title compound, [Zn2Cl4(C4H12N2)2], is isostructural with its previously reported CuII analogue [Phelps, Goodman & Hodgson (1976 ▶). Inorg. Chem. 15, 2266–2270]. In the title compound, each of the ZnII ions is coordinated by two N atoms from a chelating N,N-dimethyl­ethylenediamine ligand, two bridging Cl atoms and one terminal Cl atom. The coordination environment is distorted square-pyramidal. The Zn—Cl bond distances of the two bridging Cl atoms are distinctly different: the equatorial Cl atom exbibits a Zn—Cl distance of 2.318 (1) Å and the axial Cl atom exbibits a Zn—Cl distance of 2.747 (2) Å, which is significantly longer. The mol­ecule can thus be seen as a dimer of two nearly square-planar monomeric units which are related to each other by an inversion center located in the middle of the dimer. Within one monomeric unit, the Zn atom, the two N atoms and the two Cl atoms are almost coplanar, with a mean deviation of only 0.05 (1) Å from the associated least-squares plane. The Zn⋯Zn distance within the dimer is 3.472 (3) Å. N—H⋯Cl and C—H⋯Cl hydrogen-bond inter­actions connect neighboring mol­ecules with each other

{6,6′-Dimeth­oxy-2,2′-[4-bromo-o-phenyl­enebis(nitrilo­methyl­idyne)]diphenolato}nickel(II) methanol solvate

In the title compound, [Ni(C22H17BrN2O4)]·CH3OH, the NiII ion is in a slightly distorted square-planar geometry involving an N2O2 atom set of the tetra­dentate Schiff base ligand. The asymmetric unit contains one nickel complex and one methanol solvent mol­ecule. The dihedral angle between the aromatic ring planes of the central aromatic ring and other two aromatic rings are 10.8 (3) and 6.0 (2)°. The crystal structure is stabilized by inter­molecular C—H⋯O and C—H⋯Br and by intra­molecular O—H⋯O hydrogen bonds