Tunneling spectroscopy of voltage tunable quantum wires

Resonant tunneling spectroscopy is used to investigate the tuning range for the one-dimensional subband spacing of side-gated quantum wires. We introduce a simplified selective depletion scheme for the implementation of a resonant tunneling device. From the analysis of the differential tunneling conductance obtained for a single-wire device we conclude that the energetic spacing for the one-dimensional subbands can be varied from effectively 0 to about 6 meV. Measurements in magnetic fields directed parallel and perpendicular to the tunnel current confirm the one-dimensional nature of the tunneling processes as well as the order of magnitude of the subband spacing by comparison of the tunneling characteristics with a model calculation that assumes a parabolic confinement.     

原子双阱势中电子波包的非绝热操控

交叉电场和磁场中的氢原子具有双阱势能结构。本文基于量子力学模拟,采用半周期脉冲（HCP）序列开展电子波包的非绝热操控。详细研究了HCP的电场幅度、数量和时间间隔对电子波包的空间和能量分布的影响,实现了将初始电子波包非绝热转移到远离库伦中心的外势阱中的低能态,这些低能态较为稳定且显示出很大的电偶极矩。相比光激发和绝热操控,本文的方法更为快速、高效,可以应用于更为复杂的外场或分子体系。     

High-order harmonic generation spectrum of an excited one-dimensional Coulomb atom in an intense laser field

Response of the wave packet of a one-dimensional Coulomb atom to an intense laser field is calculated using the symmetrized split operator fast Fourier method. The high-order harmonic generation (HHG) of the initial state separately being the ground and excited states is presented. When the hardness parameter \alpha in the soft Coulomb potential V(x)=-1/\sqrt{x^2+\alpha} is chosen to be small enough, the so-called hard Coulomb potential V(x)=-1/|x| can be obtained. It is well known that the hard one-dimensional Coulomb atom has an unstable ground state with an energy eigenvalue of $\sim0.5$ and it has no states corresponding to physical states in the true atoms, and has the first and second excited states being degenerate. The parity effects on the HHG can be seen from the first and second excited states of the hard one-dimensional Coulomb atom. The HHG spectra of the excited states from both the soft and hard Coulomb atom models are shown to have more complex structures and to be much stronger than the corresponding HHG spectrum of the ground state of the soft Coulomb model with $\alpha=2$ in the same laser field. Laser-induced non-resonant one-photon emission is also observed.     

Magnetic fields and fractional statistics in boundary conformal field theory

We study conformal field theories describing two massless one-dimensional fields interacting at a single spatial point. The interactions we include are periodic functions of the bosonized fields separately plus a “magnetic” interaction that mixes the two fields. Such models arise in open-string theory and dissipative quantum mechanics and perhaps in edge state tunneling in the fractional quantized Hall effect. The partition function for such theories is a Coulomb gas with interchange phases arising from the magnetic field. These “fractional statistics” have a profound effect on the phase structure of the Coulomb gas. In this paper we present new exact and approximate results for this type of generalized Coulomb gas.     

交叉电磁场中氢原子外势阱态的有效布居

在交叉的电场和磁场中,氢原子势能面具有双阱结构.本文通过施加时变的电场,将库伦内阱量子态绝热转移到外阱的叠加态.使用量子力学方法对制备方案开展了数值模拟,研究了电场的非绝热效应对末态波函数几率分布、原子存活几率、波函数位置期望值及能级分布的影响.结果表明,较大的时间参数能够更加高效的将电子波包布居到外阱中能级较低且能量分布较窄的叠加态,且末态原子表现出巨大的电偶极矩.     

Electronic excitations and transport in aperiodic sequences of quantum dots in external electric and magnetic fields

The energy spectra and transport of electronic excitations in one-dimensional aperiodic sequences of quantum dots of Thue-Morse and double-periodic type are studied. The influence of external magnetic and electric fields on the energy spectra and transport is considered. For aperiodic sequences of quantum dots, in contrast to aperiodic sequences of atoms, the influence of relatively small magnetic and electric fields is essential, but localization occurs at finite values of the perturbations. The transmission coefficient is determined using the quasiclassical approximation with the Coulomb blockade taken into account. The resonance tunneling is studied.     

Influence of Magnetic Confinement on the Yellow Excitons in Cuprous Oxide Subject to an Electric Field

We study the spectrum of the yellow exciton series in crossed electric and magnetic fields. The electric field, applied along the optical axis, tilts the Coulomb potential between electron and hole, so that at sufficiently high fields exciton dissociation becomes possible, roughly when the electric dipole interaction energy exceeds the binding energy of an exciton state with principal quantum number n. For an applied voltage of U = 20 V all excitons above n = 6 are dissociated. Additional application of a magnetic field normal to the optical axis introduces magnetic confinement, due to which above a threshold field strength around B = 2.5 T the exciton lines re-emerge. The complex dispersion with increasing fields suggests quantum chaotic behavior in this crossed field configuration, so that the search for exceptional points may be promising.     

强激光场中模型氢原子的势函数对产生高次谐波强度的影响

在保证一维模型氢原子基态能量不变的前提下,通过构造一个可调参数的势函数,研究了在单个周期和多个周期激光作用下,取不同参数势函数一维模型氢原子产生的高次谐波谱规律.结果表明,在过垒电离区域,一维模型氢原子的高次谐波强度与势函数势阱的深度有关,与势函数是否存在库仑奇点没有直接关系. 关键词： 强激光场 一维模型氢原子 势函数 高次谐波     

Coulomb potential influence in the attoclock experimental scheme

Coulomb potential may induce a significant angular offset to the two-dimensional photoelectron momentum distributions for atoms subject to strong elliptically polarized laser fields.In the attoclock experiment,this offset usually cannot be easily disentangled from the contribution of tunneling delay and poses a main obstacle to the precise measurement of tunneling delay.Based on semiclassical calculations,here,we propose a method to extract the equivalent temporal offset induced solely by Coulomb potential(TOCP)in an attoclock experiment.Our calculations indicate that,at constant laser intensity,the TOCP shows distinctive wavelength dependence laws for different model atoms,and the ratio of the target atom’s TOCP to that of H becomes insensitive to wavelength and linearly proportional to(2Ip)?3/2,where Ip is the ionization potential of the target atom.This wavelength and Ip dependence of TOCP can be further applied to extract the Coulomb potential influence.Our work paves the way for an accurate measurement of the tunneling delay in the tunneling ionization of atoms subject to intense elliptically polarized laser fields.     

Dynamics of a wave packet in a system with a quantum dot in the Coulomb blockade regime

The nonstationary problem of electron tunneling through a quantum dot in the Coulomb block-ade regime is studied. The temporal Schrödinger equation is solved and the dynamics of the wave packet in a system consisting of a quantum dot connected to two one-dimensional contacts is investigated. The transmission coefficient is calculated. Dependences of the transmission on the tunneling electron energy are constructed.     

Differential Equation for the Transfer Matrix

An electron propagating through a crystal toward an interface can either reflect or transmit. The determination of its transmission and reflection probabilities represents an actual task in such fields as nanoelectronics, magnetoelectronics, or spin electronics. Within the framework of the effective mass approximation the problem can be reduced to the tunneling of the quantum particle through one-dimensional potential barrier. The tunneling process can be described by means of the transfer matrix, which contains all the information about the energetic dependence of the transmission and reflection coefficients. In the present work the differential equation for the transfer matrix of the arbitrary potential barrier is derived. The method proposed represents an alternative way of the calculation of the transfer matrix.     

类氢原子核质量对电子状态的影响

在孤立的两体复合系统中,讨论其中一体的变化如何影响另一体的状态,有助于了解单粒子混合态与纯态的关系.本文讨论5个孤立的一维类氢原子模型系统,原子核的质量互不相同.这5个两体(电子与原子核)复合系统的相对运动状态都处于纠缠态,其中电子状态都用约化密度矩阵表示的混合态描述.在原子核质量趋近无穷大的一维氢原子模型中,电子处于纯态.为比较这里的纯态和混合态,在位置表象中计算了这些混合态的纯度、它们分别与纯态的保真度、以及所有这些态的相干性.研究表明,原子核的质量越大,纯度和保真度越接近1,混合态的相干性与纯态的也越接近.这样的纯态及其相干性可以是这种混合态及其相干性的近似,并与原子核及库仑相互作用有关.     

Single-photon tunneling via localized surface plasmons

Strong evidence of a single-photon tunneling effect, a direct analog of single-electron tunneling, has been obtained in the measurements of light tunneling through individual subwavelength pinholes in a gold film covered with a layer of polydiacetylene. The transmission of some pinholes reached saturation because of the optical nonlinearity of polydiacetylene at a very low light intensity of a few thousand photons per second. This result is explained theoretically in terms of a "photon blockade," similar to the Coulomb blockade phenomenon observed in single-electron tunneling experiments. Single-photon tunneling may find applications in the fields of quantum communication and information processing.     

Adiabatic pumping in the mixed-valence and Kondo regimes

We investigate adiabatic pumping through a quantum dot with a single level in the mixed-valence and Kondo regimes using the slave boson mean field approximation. The pumped current is driven by a gauge potential due to time-dependent tunneling barriers as well as by the modulation of the Friedel phase. The sign of the former contribution depends on the strength of the Coulomb interaction. Under finite magnetic fields, the separation of the spin and charge currents peculiar to the Kondo effect occurs.     

Electronic molecule-like spectrum of quantum wells in crossed fields

We show that an electron confined to a single finite parabolic quantum well in crossed electric and magnetic fields can behave as a double quantum well system. The magnetic field is parallel to the heterostructure layers and the electric field is perpendicular to those. For a suitable choice of both fields and quantum well width, the electron can be confined to a double quantum well effective potential that is very similar to the electronic potential model for diatomic molecules. The double quantum well spectrum is calculated using a numerical algorithm based on semiclassical methods. A physical interpretation of this quantum system is given based on the analogy to the electrons bound to diatomic molecules.     

Resonantly enhanced tunneling in a double layer quantum hall ferromagnet

The tunneling conductance between two parallel 2D electron systems has been measured in a regime of strong interlayer Coulomb correlations. At total Landau level filling nuT=1 the tunnel spectrum changes qualitatively when the boundary separating the compressible phase from the ferromagnetic quantized Hall state is crossed. A huge resonant enhancement replaces the strongly suppressed equilibrium tunneling characteristic of weakly coupled layers. The possible relationship of this enhancement to the Goldstone mode of the broken symmetry ground state is discussed.     

Two-point phase correlations of a one-dimensional bosonic Josephson junction

We realize a one-dimensional Josephson junction using quantum degenerate Bose gases in a tunable double well potential on an atom chip. Matter wave interferometry gives direct access to the relative phase field, which reflects the interplay of thermally driven fluctuations and phase locking due to tunneling. The thermal equilibrium state is characterized by probing the full statistical distribution function of the two-point phase correlation. Comparison to a stochastic model allows us to measure the coupling strength and temperature and hence a full characterization of the system.     

强激光场中模型氢原子和真实氢原子产生高次谐波的比较

通过数值求解原子在强激光场中的含时薛定谔方程,研究了有库仑奇点和无库仑奇点的一维模型氢原子和三维真实氢原子产生高次谐波的特性.结果表明,有库仑奇点和无库仑奇点的一维模型氢原子和三维真实氢原子产生高次谐波的截止位置相同,但是高次谐波强度变化特征明显不同,进一步的研究表明,无库仑奇点的模型氢原子产生的高次谐波谱相对变化趋势与三维真实氢原子的高次谐波谱变化趋势是完全一致的.