A local logarithmic conformal field theory

The local logarithmic conformal field theory corresponding to the triplet algebra at c = -2 is constructed. The constraints of locality and duality are explored in detail, and a consistent set of amplitudes is found. The spectrum of the corresponding theory is determined, and it is found to be modular invariant. This provides the first construction of a non-chiral rational logarithmic conformal field theory, establishing that such models can indeed define bona fide conformal field theories.     

High-fidelity readout of trapped-ion qubits

We demonstrate single-shot qubit readout with a fidelity sufficient for fault-tolerant quantum computation. For an optical qubit stored in 40Ca+ we achieve 99.991(1)% average readout fidelity in 10(6) trials, using time-resolved photon counting. An adaptive measurement technique allows 99.99% fidelity to be reached in 145 micros average detection time. For 43Ca+, we propose and implement an optical pumping scheme to transfer a long-lived hyperfine qubit to the optical qubit, capable of a theoretical fidelity of 99.95% in 10 micros. We achieve 99.87(4)% transfer fidelity and 99.77(3)% net readout fidelity.     

A rotating probe for measuring the inhomogeneity of a magnetic field

The theory is given of a rotating probe for measuring the inhomogeneity of a magnetic field. The design of the instrument and its calibration are described, giving its sensitivity and some methods of use such as the measurement of saturation magnetization, the Curie point and hysteresis loops.     

Multiaxis interferometric displacement measurement for local probe microscopy

We present an overview of design approaches for nanometrology measuring setups with a focus on interferometry techniques and associated problems. The design and development of a positioning system with interferometric multiaxis monitoring and control is presented. The system is intended to operate as a national nanometrology standard combining local probe microscopy techniques and sample position control with traceability to the primary standard of length.     

Effect of dielectric interface on vector field mapping using gold nanoparticles as a local probe: Theory and experiment

We investigate the influence of an air–dielectric interface on evanescent field vector detections using a gold nanoparticle as a local probe. In particular, we are interested in how the reflected field from the interface modifies the scattered signal, both in its strength and polarization direction depending on the detection angle. Dielectric–air or dielectric–water interface is a most widely used platform to perform single molecule spectroscopy. Knowing the electric field direction that the single molecule experiences is prerequisite for obtaining precise information on that molecule. The far-field scattered signal is derived by solving self-consistently the polarization induced on the gold nanoparticle by the local field and its radiated field in the Green function formalism. The scattered light intensity for each detector polarization direction is obtained by varying the dielectric constant, the distance from the gold nanoparticle to the interface, and the detection angle. The gold nanoparticle is modeled by a single dipole and coupled dipoles, respectively, and comparisons are given. Detection angle dependent far-field measurements are compared with theory, and they are in good agreements. Our study shows that for vector-field mapping on dielectric-interface, an ideal detector angle exists whereby the horizontal and vertical field components can be readily deduced without further correction. For any other detector angles, a correction factor should be taken into consideration to determine local field polarization direction.     

Control of trapped-ion quantum states with optical pulses

We present new results on the quantum control of systems with infinitely large Hilbert spaces. A control-theoretic analysis of the control of trapped-ion quantum states via optical pulses is performed. We demonstrate how resonant bichromatic fields can be applied in two contrasting ways--one that makes the system completely uncontrollable and the other that makes the system controllable. In some interesting cases, the Hilbert space of the qubit-harmonic oscillator can be made finite, and the Schr?dinger equation controllable via bichromatic resonant pulses. Extending this analysis to the quantum states of two ions, a new scheme for producing entangled qubits is discovered.     

Penetration of probe field in heated plasma

Dependences of the effective penetration depth of probe pulse field in current-carrying plasma with time-dependent temperatures of particles are determined. It is shown that the field penetration in fully and weakly ionized plasmas takes place in the subdiffusion and superdiffusion regimes, respectively.     

A local relativistic Boson field with the λ|ϕ| interaction

We prove that the Heisenberg picture fields for a self interacting Boson field with the || interaction in four space time dimensions exists as weak limits of Heisenberg picture fields corresponding to the cut-off interactions.     

Proton-detected separated local field spectroscopy

PISEMO, a separated local field experiment that can be performed with either direct (15)N (or (13)C) detection or indirect (1)H detection, is demonstrated on a single crystal of a model peptide. The (1)H signals modulated by (1)H-(15)N heteronuclear dipole-dipole couplings are observed stroboscopically in the windows of the multiple-pulse sequence used to attenuate (1)H-(1)H homonuclear dipole-dipole couplings. (1)H-detection yields spectra with about 2.5 times the signal to noise ratio observed with (15)N-detection under equivalent conditions. Resolution in both the (15)N chemical shift and (1)H-(15)N heteronuclear dipole-dipole coupling dimensions is similar to that observed with PISEMA, however, since only on-resonance pulses are utilized, the bandwidth is better.     

Discrimination of field components in optical probe microscopy

We demonstrate that the conventional optical signal in near-field scanning optical microscopy and the optical force induced topography contain complementary information about the complex three-dimensional field distribution. Crucially, the additional information about the field distribution can be retrieved without increasing the measurement complexity.     

A measurement of the local electric field on field emitter crystals using T-F emission

A method is introduced to measure in situ the absolute value of the local field strength on the surface of a field emitter tip by using T?F emission. The method is based on the unified theory of electron emission (Christov) which is now experimentally well confirmed. The method is tested on several single crystal faces of tungsten tips. The absolute value of the local field can be determined within an error of about 5%. Relative field strengths at different points on one single crystal face can be measured with an error of 2%. Once the absolute value of the field strength is thus measured, the absolute value of the work function can be obtained additionally, but so far only with a fairly great error.     

Doppler-dependent fluorescence spectroscopy of Yb atomic gas for trapped-ion experiments

An ion trap-based Quantum system has been one of the leading architectures toward building a scalable and practical quantum computer. The trapped ion system also has been used for precision experiments such as quantum sensing, metrology, and atomic clock. For the ion-trap experiment, searching resonant frequencies of atomic isotopes are essential for selectively ionization and trapping a specific isotope. In this work, we set up an Yb fluorescence spectroscopy for detecting 399 nm photons of ¹S₀ → ¹P₁ transition of the Yb gas from a heated oven. We observed the relative frequency differences between the Yb isotopes and calibrated an optical wavemeter comparing with previous literatures. In addition, we obtain characteristic properties of the atomic oven such as gas’ velocity and density distribution at different oven temperatures. Our experiment can offer a relatively simple and cost-efficient apparatus of spectroscopy and can be useful for designing trap devices in the trapped-ion experiment.     

Propositional systems in local field theories

We investigate prepositional systems for local field theories, which reflect intrinsically the uncertainties of measurements made on the physical system, and satisfy the isotony and local commutativity postulates of Haag and Kastler. The space-time covariance can be implemented in a natural way in these propositional systems. New techniques are introduced to obtain these propositional systems: the lattice-valued logics. The decomposition of the complete orthomodular lattice-valued logics shows that these logics are more general than the usual two-valued ones and that in these logics there is enough structure to characterize the classical and quantum, nonrelativistic and relativistic local field theories in a natural way. The Hubert modules give the natural inner product spaces (modules) for the realization of the lattice-valued logics.The author is also with the Publishing House of the Hungarian Academy of Sciences, H-1363, Budapest, P.O.B. 24.     

Auger electron spectroscopy - a local probe for solid surfaces

The Auger electron transition in solids is discussed under the aspect of a local excitation due to the strongly localized primary hole in an inner atomic core level. In first approximation the solid is represented by a cluster model, consisting of the excited atom and its neighbors. Using this simple model it is possible to describe the Auger electron energies, intensities and line shapes of transitions in solids in a satisfactory way. Only for the angular dependent Auger emission, characteristic long-range crystalline order has to be taken into account. It is the aim of this introductory review to point out that Auger spectra bear more information about the solid surface and particularly on its chemical bonds as has yet been exploited by surface spectroscopists.     

Progress of quantum entanglement in a trapped-ion based quantum computer

In recent years, there have been significant progress toward building a practical quantum computer, demonstrating key ingredients such as single-qubit gates and a two-qubit entangling gate. Among various physical platforms for a potential quantum computing processor, a trapped-ion system has been one of the most promising platforms due to long coherence times, high-fidelity quantum gates, and qubit connectivity. However, scaling up the number of qubits for a practical quantum computing faces a core challenge in operating high-fidelity quantum gates under influence from neighboring qubits. In particular, for the trapped-ion system, unwanted quantum crosstalk between qubits and ions’ quantum motional states hinder performing high-fidelity entanglement as the number of ions increases. In this review, we introduce a trapped-ion system and explain how to perform single-qubit gates and a two-qubit entanglement. Moreover, we mainly address theoretical and experimental approaches to achieve high-fidelity and scalable entanglement toward a trapped-ion based quantum computer.     

Can the electric field gradient probe lattice stability?

The relationship between the electrostatic force acting on the nucleus and the electric field gradient measured by nuclear methods is discussed. Particular attention is paid to the proper application of the Laplace equation. This point is unclear in several standard textbooks on Mössbauer spectroscopy.