Aharonov-Bohm effect on AdS2 and nonlinear supersymmetry of reflectionless Pöschl-Teller system

We explain the origin and the nature of a special nonlinear supersymmetry of a reflectionless Pöschl-Teller system by the Aharonov-Bohm effect for a non-relativistic particle on the AdS₂. A key role in the supersymmetric structure appearing after reduction by a compact generator of the AdS₂ isometry is shown to be played by the discrete symmetries related to the space and time reflections in the ambient Minkowski space. We also observe that a correspondence between the two quantum non-relativistic systems is somewhat of the AdS/CFT holography nature.     

Quantum holonomies for an electric dipole moment

In this Letter, we obtain the quantum holonomies for a neutral particle with a permanent electric dipole moment based on the analogue effects of the He-McKellar-Wilkens effect and the Scalar Aharonov-Bohm effect and show a new proposal for implementing one-qubit quantum gates.     

What does an observed quantum system reveal to its observer?

The evolution of a quantum system under observation becomes retarded or even impeded. We review this “quantum Zeno effect” in the light of the criticism that has been raised upon a previous attempt to demonstrate it, of later reexaminations of both the projection postulate and the significance of the observations, and of the results of a recent experiment on an individual cold atom. Here, the micro-state of the quantum system gets unveiled with the observation, and the effect of measurement is no longer mixed up with dephasing the object's wave function by the reactive effect of the detection. A procedure is outlined that promises to provide, by observation, an upper limit for the delay of even an exponential decay. Received 11 January 2001 and Received in final form 28 February 2001     

Reliable teleportation in trapped ions

We study a method for the implementation of a reliable teleportation protocol (theoretically, 100% of success) of internal states in trapped ions. The generation of the quantum channel (any of four Bell states) may be done respecting technical limitations on individual addressing and without claiming the Lamb-Dicke regime. An adequate Bell analyzer, that transforms unitarily the Bell basis into a completely disentangled one, is considered. Probable sources of error and fidelity estimations of the teleportation process are studied. Finally, we discuss experimental issues, proposing a scenario in which the present scheme could be implemented. Received 1st June 2000 and Received in final form 17 August 2000     

Quantum dynamics of a generalized Coleman-Hepp model

Studies on a generalized Coleman-Hepp model are done on the basis of a spin coherent state representation and a transformation property of the model Hamiltonian. Namely, transforming the original model Hamiltonian into a simpler form, we can determine time evolution of the whole system by successive applications of rotation operators in a spinor space. Dynamics of detector spins as well as that of an incident particle are fully discussed. Explicit numerical evaluations are also performed. Relevance of our solution to a generalized Cini model is also briefly mentioned. Received 24 August 1999     

Effect of the Aharonov-Bohm Potential on the Optical Polaron Soliton Motion in One-Dimensional Rings

The effect of the Aharonov-Bohm potential on the optical polaron solitons is considered by making use of vibration configuration resulting from the energy minimum. Two new polaron solutions with solitary wave form and their relevant properties have been obtained. The results show that the soliton's shape, location, self-trapping energy and effective mass depend on the Aharonov-Bohm dux. At the same time, the bell solitons appear at the polaron energy band, while the kink excitation at the top.     

Shapiro Step Features and Quantum Dynamics of Aharonov-Bohm Electron Interference in a Two-Mode Squeezed State

Aharonov-Bohm-type electron interference in a two-mode squeezed state is inves tigated.The properties of Shapiro steps, visibility of the interference fringe and the dynamic behavior of electron interference are discussed. We find that the time evolution of electron interference intensity in the two-mode squeezed state can exhibit very interesting quantum collapse and revival phenomenon.     

Quantum Rings with Two Deeply Bound Electrons under a Magnetic Field

A model is proposed to study the quantum rings with two deeply bound electrons under a variable magnetic field. The emphasis is placed to clarify the effect of the size （diameter） and the width of the ring on the fractional Aharonov-Bohm oscillation. It was found that the reduction of size will lead to a very strong oscillation in the ground state energy and in the persistent current. The electronic correlation has also been demonstrated by showing the nodal structures of wave functions.     

The optical Aharonov-Bohm effect

It is shown that the vector potential of a circularly polarized laser causes the optical equivalent of the Aharonov-Bohm effect. An estimate is made of the expected fringe shift due to a circularly polarized laser directed through an optical fiber in an electron diffraction experiment, and it is shown that the effect is equivalent to that of a magnetic field.     

Synthesis and magnetotransport properties of Bi_2Se_3 nanowires

Bi_2Se_3, as a three-dimensional topological insulator, has attracted worldwide attention for its unique surface states which are protected by time-reversal symmetry. Here we report the synthesis and characterization of high-quality singlecrystalline Bi_2Se_3 nanowires. Bi_2Se_3 nanowires were synthesized by chemical vapor deposition(CVD) method via goldcatalyzed vapor-liquid-solid(VLS) mechanism. The structure and morphology were characterized by scanning electron microscopy(SEM), transmission electron microscopy(TEM), x-ray photoelectron spectroscopy(XPS), and Raman spectroscopy. In magnetotransport measurements, the Aharonov–Bohm(AB) effect was observed in a nanowire-based nanodevice, suggesting the existence of surface states in Bi_2Se_3 nanowires.