Moiré-Induced Optical Nonlinearities: Single- and Multiphoton Resonances.

Moiré excitons promise a new platform with which to generate and manipulate hybrid quantum phases of light and matter in unprecedented regimes of interaction strength. We explore the properties in this regime, through studies of a Bose-Hubbard model of excitons coupled to cavity photons. We show that the steady states exhibit a rich phase diagram with pronounced bistabilities governed by multiphoton resonances reflecting the strong interexciton interactions. In the presence of an incoherent pumping of excitons we find that the system can realize single- and multiphoton lasers.

P-Band Induced Self-Organization and Dynamics with Repulsively Driven Ultracold Atoms in an Optical Cavity.

We investigate a Bose-Einstein condensate strongly coupled to an optical cavity via a repulsive optical lattice. We detect a stable self-ordered phase in this regime, and show that the atoms order through an antisymmetric coupling to the P band of the lattice, limiting the extent of the phase and changing the geometry of the emergent density modulation. Furthermore, we find a nonequilibrium phase with repeated intense bursts of the intracavity photon number, indicating nontrivial driven-dissipative dynamics.

Superradiance Induced Particle Flow via Dynamical Gauge Coupling.

We study fermions that are gauge coupled to a cavity mode via Raman-assisted hopping in a one-dimensional lattice. For an infinite lattice, we find a superradiant phase with an infinitesimal pumping threshold which induces a directed particle flow. We explore the fate of this flow in a finite lattice with boundaries, studying the nonequilibrium dynamics including fluctuation effects. The short-time dynamics is dominated by superradiance, while the long-time behavior is governed by cavity fluctuations. We show that the steady state in the finite lattice is not unique and can be understood in terms of coherent bosonic excitations above a Fermi surface in real space.

Cortical excitability and the shape of the haemodynamic response.

Individual differences in the temporal dynamics of the haemodynamic response can reflect cortical excitation and can reveal underlying cortical physiology. Here, we show differences in the shape of the haemodynamic response that are dependent on stimulus parameters. Two sets of visual stimuli were used varying in parameters that are known to manipulate the haemodynamic response in the visual cortex. We measured the oxyhaemoglobin response using near infrared spectroscopy. The first set of stimuli comprised chromatic square-wave gratings that varied with respect to the separation in the CIE UCS chromaticities of the alternating bars. The gratings with large separations in chromaticity evoked an oxyhaemoglobin response with greater amplitude, consistent with greater activation of the visual cortex. The second set of stimuli comprised horizontal achromatic gratings that (1) were static, (2) drifted at a constant velocity towards fixation, or (3) reversed direction every half spatial cycle to create a vertical vibrating motion. Although the three types of grating had a similar effect on the amplitude of the oxyhaemoglobin response, the moving gratings (2 and 3) evoked a steeper decrease in oxyhaemoglobin concentration after stimulus-offset. The steeper slope appears to reflect the post-stimulus undershoot and the slope may provide a correlate of cortical excitability when the amplitude of the haemodynamic response has saturated.

Quantum Quenches in Chern Insulators.

We explore the nonequilibrium response of Chern insulators. Focusing on the Haldane model, we study the dynamics induced by quantum quenches between topological and nontopological phases. A notable feature is that the Chern number, calculated for an infinite system, is unchanged under the dynamics following such a quench. However, in finite geometries, the initial and final Hamiltonians are distinguished by the presence or absence of edge modes. We study the edge excitations and describe their impact on the experimentally observable edge currents and magnetization. We show that, following a quantum quench, the edge currents relax towards new equilibrium values, and that there is light-cone spreading of the currents into the interior of the sample.

Correlated phases of bosons in the flat lowest band of the dice lattice.

We study correlated phases occurring in the flat lowest band of the dice-lattice model at flux density one-half. We discuss how to realize this model, also referred to as the T(3) lattice, in cold atomic gases. We construct the projection of the model to the lowest dice band, which yields a Hubbard Hamiltonian with interaction-assisted hopping processes. We solve this model for bosons in two limits. In the limit of large density, we use Gross-Pitaevskii mean-field theory to reveal time-reversal symmetry breaking vortex lattice phases. At low density, we use exact diagonalization to identify three stable phases at fractional filling factors ν of the lowest band, including a classical crystal at ν = 1/3, a supersolid state at ν = 1/2, and a Mott insulator at ν = 1.

Designing topological bands in reciprocal space.

Motivated by new capabilities to realize artificial gauge fields in ultracold atomic systems, and by their potential to access correlated topological phases in lattice systems, we present a new strategy for designing topologically nontrivial band structures. Our approach is simple and direct: it amounts to considering tight-binding models directly in reciprocal space. These models naturally cause atoms to experience highly uniform magnetic flux density and lead to topological bands with very narrow dispersion, without fine-tuning of parameters. Further, our construction immediately yields instances of optical Chern lattices, as well as band structures with Chern numbers of magnitude larger than one.

Topological Kondo effect with Majorana fermions.

The Kondo effect is a striking consequence of the coupling of itinerant electrons to a quantum spin with degenerate energy levels. While degeneracies are commonly thought to arise from symmetries or fine-tuning of parameters, the recent emergence of Majorana fermions has brought to the fore an entirely different possibility: a topological degeneracy that arises from the nonlocal character of Majorana fermions. Here we show that nonlocal quantum spins formed from these degrees of freedom give rise to a novel topological Kondo effect. This leads to a robust non-Fermi liquid behavior, known to be difficult to achieve in the conventional Kondo context. Focusing on mesoscopic superconductor devices, we predict several unique transport signatures of this Kondo effect, which would demonstrate the nonlocal quantum dynamics of Majorana fermions and validate their potential for topological quantum computation.

Probing fractional topological insulators with magnetic edge perturbations.

We discuss detection strategies for fractional topological insulators (FTIs) realizing time-reversal invariant analogues of fractional quantum Hall systems in the Laughlin universality class. Focusing on transport measurements, we study the effect of magnetic perturbations on the edge modes. We find that the modes show unexpected robustness against magnetic backscattering for moderate couplings and edge interactions, allowing for various phase transitions signaling the FTI phase. We also describe protocols for extracting the universal integer m characterizing the phase and the edge interaction parameter from the conductance of setups with magnets and a quantum point contact.

Optical flux lattices for ultracold atomic gases.

We show that simple laser configurations can give rise to "optical flux lattices," in which optically dressed atoms experience a periodic effective magnetic flux with high mean density. These potentials lead to narrow energy bands with nonzero Chern numbers. Optical flux lattices will greatly facilitate the achievement of the quantum Hall regime for ultracold atomic gases.

Z(2) topological insulators in ultracold atomic gases.

We describe how optical dressing can be used to generate band structures for ultracold atoms with nontrivial Z(2) topological order. Time-reversal symmetry is preserved by simple conditions on the optical fields. We first show how to construct optical lattices that give rise to Z(2) topological insulators in two dimensions. We then describe a general method for the construction of three-dimensional Z(2) topological insulators. A central feature of our approach is a new way to understand Z(2) topological insulators starting from the nearly free electron limit.

Local tensor network for strongly correlated projective States.

The success of tensor network approaches in simulating strongly correlated quantum systems crucially depends on whether the many-body states that are relevant for the problem can be encoded in a local tensor network. Despite numerous efforts, strongly correlated projective states, including fractional quantum Hall states, have not yet found a local tensor network representation. Here we show that one can encode the calculation of averages of local operators in a Grassmann tensor network which is local. Our construction is explicit and allows the use of physically motivated trial wave functions as starting points in tensor network variational calculations.

Isolation and analysis of the mechanism of action of an inactivator of C4b in normal human serum.

A complement regulatory principle, C4b inactivator, was isolated in a partially purified form from normal human serum. The C4b inactivator, a beta1-globulin with an approximate mol wt of 88,000 daltons, and which may be identical to C3b inactivator, cleaved C4b in free solution or on the surface of cells and rendered it unable to participate in hemolytic reactions or to interact with cells, having receptors for C4b. C/b inactivator functioned by cleaving the alpha-polypeptide chain of C4b at a single site which was sufficient to dissociate the molecule into two fragments, C4c and C4d, and to inactivate it biological function. Certain structural correlates of C4 functions deriving from these studies are discussed and a model for C4 structure based on these findings is presented.

Formation and function of a complex of the C3 proactivator with a protein from cobra venom.

The role of C3 proactivator (C3PA) and a factor isolated from cobra venom (CoF) in the formation of a principle able to cleave C3 was investigated. The results clearly demonstrate two modes of interaction of C3PA with CoF. In isolated form, C3PA and CoF were found to form a reversible protein-protein complex in free solution. This complex had some C3 cleaving activity. In the presence of minute amounts of a partially purified normal serum substance, factor D, the C3PA-CoF complex was stabilized and its efficiency in cleaving C3 was greatly increased. Factor D is thus an activator of C3PA. A firm complex composed of C3PA and CoF, and possessing C3 cleaving activity, was also formed by addition of CoF to serum.

Demonstration and quantitation of activation of the first component of complement in human serum.

Activation of the first component of human complement (C1) in human sera can be readily detected in double immunodiffusion studies with anti-C1q, anti- C1r, and anti-C1s as it produces a characteristic pattern quite different from that of precursor C1. Native macromolecular C1 gives a continuous line of precipitation with antisera to C1q, C1r, and C1s in double diffusion studies. After activation of C1 by incubation of serum with complement activators, three major changes occurred in the Ouchterlony pattern. First, spurring of the C1s precipitin line over that of macromolecular C1, indicating release of C1s from C1, was observed with low doses of activator. Release of C1s was quantitated by single radial diffusion and shown to be complete with the highest activator dose examined. Second, C1q was released with larger activator doses as shown also by spurring of the precipitin line due to this component over the remaining macromolecular C1. Third, and most surprising, C1r antigenicity was progressively lost as the activator dose was increased and no C1r line remained with the highest dose of activator tested. This was not true with C1s as there was no change in the total C1s concentration in serum incubated with various activator doses. These observations provide two approaches to the quantitation of C1 activation in human serum. First, C1r and C1s can be quantitated by single radial diffusion. A decrease in the C1r:C1s ratio correlates with activation. Second, C1s released by the activation can be quantitated by single radial diffusion if the agarose contains high concentrations of anti-C1q to confine C1, also containing C1s, to the area near the application well, and lesser concentrations of anti-C1s to permit free C1s to produce a measurable ring. The extent of release of C1s also correlates with activation. These immunochemical techniques to quantitate C1 activation directly inserum do not require specialized reagents. It is hoped that they will be useful in screening pathological sera and in monitoring the status of the complement system in patients.

The reaction mechanism of human C5 in immune hemolysis.

The data presented here indicate that the C5 reaction step may proceed via the specific attachment of C5 to EAC1,4,2,3 and the formation of a hemolytically active C5 intermediate complex. During this process only a minor proportion (less than 4%) of C5 offered to EAC1,4,2,3 becomes bound, although the remaining C5 also participates in the reaction as evidenced by its inactivation in the fluid phase. Once bound, C5 is exceptionally efficient in producing hemolysis, requiring less than seven specifically bound molecules per cell for the production of a hemolytic lesion. The extent of formation of the C5 intermediate complex is primarily dependent on the number of molecules of C4, 2 and C3 present on the cells employed for its generation. In these respects, the mode of action of C5 is completely analogous to that of the other components of complement thus far investigated. The C5 step differs, however, in other aspects. The binding of C5 is influenced by C6 and C7, components which are thought to act subsequent to it in the complement sequence. In addition, the hemolytic activity of the isolated C5 intermediate complex is exceedingly labile, having an average half-life at 30 degrees C of only 9 min. This characteristic distinguishes the C5 step, along with the C2 step, as potentially rate-limiting in the complement reaction. However, unlike C2, C5 remains firmly cell-bound during the decay process and apparently undergoes an alteration in situ which renders it hemolytically unreactive. Finally, C5 is unique in that it readily adsorbs in native form to unsensitized erythrocytes. This nonspecifically bound C5 remains firmly attached, although it may be specifically utilized as a source of C5 by an ongoing complement reaction. The significance of the marked affinity of native C5 for cell-surface receptors remains to be determined.

Epstein-Barr virus regulates activation and processing of the third component of complement.

Serum incubated with purified EBV was found to contain C3 cleavage fragments characteristic of C3c. Since the cofactors necessary for such cleavage of C3b by factor I are not normally present in serum, EBV was tested for factor I cofactor activity. Purified EBV from both human and marmoset EBV-producing cell lines was found to act as a cofactor for the factor I-mediated breakdown C3b to iC3b and iC3b to C3c and C3dg. EBV also acted as a cofactor for the factor I-mediated cleavage of C4b to iC4b and iC4b to C4c and C4d. EBV from both the human and marmoset cell lines accelerated the decay of the alternative pathway C3 convertase. The classical pathway C3 convertase was unaffected. Multiple lines of evidence eliminated the possibility that marmoset or human CR1 was responsible for the functional activities of EBV preparations. The spectrum of activities was different from CR1 in that EBV and EBV-expressing cell lines failed to rosette with C3b or particles bearing C3b, the primary functional assay for CR1, and EBV did not accelerate classical pathway C3 convertase decay, another property of CR1. In addition, CR1 could not be detected immunologically on marmoset or human EBV-expressing cells and mAbs to CR1 failed to alter EBV-produced decay acceleration and factor I cofactor activities, although the antibodies blocked the same CR1-dependent functional activities. The multiple complement regulatory activities exhibited by purified EBV derived from human and marmoset cells differ from those of any of the known C3 or C4 regulatory proteins. These various activities would be anticipated to provide survival value for the virus by subverting complement- and cell-dependent host defense mechanisms.

Epstein-Barr virus binding to CD21 activates the initial viral promoter via NF-kappaB induction.

Epstein-Barr virus (EBV), an oncogenic human herpesvirus, binds to and infects normal human B lymphocytes via CD21, the CR2 complement receptor. Studies of the mechanisms that enable EBV to infect nonactivated, noncycling B cells provide compelling evidence for a sequence of events in which EBV binding to CD21 on purified resting human B cells rapidly activates the NF-kappaB transcription factor, which, in turn, binds to and mediates transcriptional activation of Wp, the initial viral latent gene promoter. Thus, EBV binding to its cellular receptor on resting B cells triggers an NF-kappaB-dependent intracellular signaling pathway which is required for infection.

Immunologic injury of cultured cells infected with measles virus. I. role of IfG antibody and the alternative complement pathway.

In these studies, a number of human cell lines including epithelial, neural, glial, and lymphoid cells infected with several strains of measles virus were found to be lysed upon incubation with fresh sera from humans containing antibody measles virus. In all instances, the cytolytic event was mediated by alternative complement (C) pathway without a significant contribution from classical pathway. In contrast, isolated measles virus in conjunction with antibody was found to selectively activate the classical C pathway. Measles antibodies of the IgG class, but not the IgA class, possessed cytolytic potential against cells infected with measles virus. Human IgG antibodies could directly activate the alternative C pathway. No defect was found in cytolytic measles antibody in sera or cerebrospinal fluid from patients with subacute sclerosing panencephalitis, nor was the alternative C pathway impaired in sera from these patients. Sera from newborn humans exhibited a functional alternative C pathway.

Formation and biologic role of polyoma virus-antibody complexes. A critical role for complement.

Interaction of polyoma virus, specific antibody, and complement has been studied. Firm evidence has been gathered that C1 through C3 and not C5 through C9 enhance neutralization of virus-antiviral antibody (V-Ab) complexes. C enhancement of neutralization occurs primarily by agglutination of V-Ab complexes and not by virion lysis or attachment of large protein molecules to the V-Ab complex. In this model, binding of C1, 4, 2, 3 to the V-Ab complex may explain why some viruses concentrate in or infect certain cells bearing C3 receptors such as B lymphocytes, macrophages, and monocytes.