Quantifying nonclassicality of one-mode Gaussian states of the radiation field

We define the degree of nonclassicality of a one-mode Gaussian state of the quantum electromagnetic field in terms of the Bures distance between the state and the set of all classical one-mode Gaussian states. We find the closest classical Gaussian state and the degree of nonclassicality using a recently established expression for the Uhlmann fidelity of two single-mode Gaussian states. The decrease of nonclassicality under thermal mapping is carefully analyzed. Along the same lines, we finally present the evolution of nonclassicality during linear amplification.     

Unified approach to superposition states of the quantized radiation field

Summary In the recent years various and interesting superposition states of the quantized radiation field were investigated in the literature, such as that involving two number states by Wodkiewiczet al.; that involving two coherent states by Hillery and Gerryet al.; that involving two squeezed states by Xinet al., etc. Here we study a general one-parameter superposition state which unifies those states and others in the literature, all becoming a particularization of ours. General expressions characterizing the physical properties of the field are obtained. The role played by the present superposition state as an alternative interpolating state is also discussed. The authors of this paper have agreed to not receive the proofs for correction.     

Highly excited atomic states in a static electric field

We have performed exact numerical calculations for a hydrogen atom perturbed by a uniform electric field for some Stark sublevels with n = 12, 13, 14, 15. The results are compared with recent experimental data for excited states of sodium.     

Stabilization of nonclassical states of the radiation field in a cavity by reservoir engineering

We propose an engineered reservoir inducing the relaxation of a cavity field towards nonclassical states. It is made up of two-level atoms crossing the cavity one at a time. Each atom-cavity interaction is first dispersive, then resonant, then dispersive again. The reservoir pointer states are those produced by an effective Kerr Hamiltonian acting on a coherent field. We thereby stabilize squeezed states and quantum superpositions of multiple coherent components in a cavity having a finite damping time. This robust decoherence protection method could be implemented in state-of-the-art experiments.     

强热辐射环境中两能级原子量子态保真度

两个两能级原子置于强热辐射场环境中，原子用泡利算符描述，环境用无穷的谐振子热库描述，运用密度矩阵方法，得到两能级原子密度矩阵元演化规律.针对三种不同的初始状态，分析置于热辐射场中原子量子态保真度.结果表明：当两个原子初始处于不同量子叠加态时，量子信息在传输过程中可能发生部分失真，也可能不失真. 关键词： 热辐射场 两能级原子 保真度 消相干     

Mixing of bound states with electron transport by a radiation field in waveguides

Electron transmission in the two-, three-, and four-terminal nanostructures is considered under the influence of a radiation field. The frequency of the radiation field is tuned to the transition between the energy of a bound state and the Fermi energy of the incident electrons. The radiation induced resonant peaks and dips of the electron transport are exhibited for zero and low magnetic fields. It is shown that rotation of the radiation field polarization can effectively control the electron transport into different electrodes attached to the structures because of the symmetry of the structures. The resonant anomalies of the Hall resistance are found in a weak magnetic field. Zh. éksp. Teor. Fiz. 114, 1954–1970 (December 1998) Published in English in the original Russian journal. Reproduced here with stylistic changes by the Translation Editor.     

Potential energy surface of the Rydberg states of the NO molecule in an intense IR radiation field

A method taking into account valence (non-Rydberg) and dissociative configurations has been developed for calculation of potential energy surfaces of the NO molecule in an intense IR radiation field. The resonance rovibronic structure of the Rydberg molecule–laser field quantum system has been analyzed within the steady-state formalism of the radiation collision matrix using multi-channel quantum defect theory. Special conditions for field control of predissociation involving intermediate Rydberg and valence states have been formulated.     

Highly excited rovibrational states of HNC

The emission spectrum of HCN has been recorded at 1463 K using hot gas molecular emission (HOTGAME) spectroscopy in the wavenumber region of 2900–3500 cm⁻¹ with a resolution of 0.01 cm⁻¹. The dense emission spectrum was analyzed with the spectrum analysis software SyMath™ implemented in the Mathematica™ computer algebra system. This work reports the analysis of the band series up to v₂ = 8 and of the band series up to v₂ = 6.36 rovibronic (v₁, v₂, l, e/f, v₃) substates of HCN including all l = 0, 2, 4, 6, 8 sublevels of the highly excited bending combination mode have been characterized for the first time and for the 22 known vibrational sublevels it was possible to improve the existing spectroscopic constants substantially. 18 (v₁, v₂, l, v₃) vibrational sublevels are located for the first time relative to the 00⁰0 state. The analysis reported here includes rovibrational states up to very large rotational excitations of J = 60–80. For the combination states the rotational states have been determined up to J = 86 which corresponds to 7000 cm⁻¹ rotational excitation energy, this state is only 2000 cm⁻¹ below the isomerization barrier. It was possible to determine for the first time the L_v high order rotational constant for many states reported in this work.     

Formation of metastable molecular states at the resonance scattering of two atoms in a laser radiation field

Using the Dirac’s method, the formation of metastable molecular states at the resonance scattering of two atoms in the laser radiation field is considered. Expressions for the metastable level populations and the resonance scattering cross sections are obtained. In the case of an exact resonance with the laser radiation, the graphs for populations and resonance scattering cross sections, which have two peaks due to the Autler–Townes effect, are obtained. These results play an important role in the study of the controlled chemical reaction and for the understanding of the processes in the quantum systems of the Bose–Einstein condensate at low temperatures, as well as in the various optical processes in atomic gases.     

Highly extended image states around nanotubes

We predict that freely suspended, linear molecular conductors or dielectrics, such as carbon nanotubes, can support electronic states that are localized far from the surface. These "tubular image states" are formed in extended potential wells resulting from the tug of war between the external electron's attraction to its image charge in the nanotube, and its repulsion from the tube due to its transverse angular momentum. The displacement of these states (>10 nm) away from the surface prevents their wave functions from collapsing, resulting in long lifetimes at low temperatures. We predict that tubular image states with binding energies of 1-10 meV can be formed via radiative recombination.     

Effect of squeezed vibrational states on the optical properties of molecular systems in a field of laser radiation

Specific features of optical and nonradiative transitions in molecular systems in the field of an intense electromagnetic wave are studied with account of squeezed vibrational states. It is shown that a field of laser radiation considerably enhances the tunneling processes in electronic vibrational systems and makes it possible to obtain the generation of higher harmonics. Conditions are found under which squeezed vibrational states can lead to some stabilization of excited electronic states with respect to the processes of luminescence.     

Ground states and thermal states of the random field Ising model

The random field Ising model is studied numerically at both zero and positive temperature. Ground states are mapped out in a region of random field and external field strength. Thermal states and thermodynamic properties are obtained for all temperatures using the Wang-Landau algorithm. The specific heat and susceptibility typically display sharp peaks in the critical region for large systems and strong disorder. These sharp peaks result from large domains flipping. For a given realization of disorder, ground states and thermal states near the critical line are found to be strongly correlated--a concrete manifestation of the zero temperature fixed point scenario.     

Squeezed states of electromagnetic field

Lebedev Physics Institute, Academy of Sciences of the USSR, Moscow. Translated from Preprint No. 232 of the Lebedev Physics Institute, Academy of Sciences of the USSR, Moscow, 1988.     

Highly excited alpha-cluster states in 34S

The elastic-scattering reaction ³⁰Si + $ \alpha$ was studied using the Thick Target Inverse Kinematics technique. Data were taken at a ³⁰Si beam energy of 150MeV in a reaction chamber filled with ⁴He gas, corresponding to the excitation region of 12-24MeV in ³⁴S . The data were treated in the framework of a simplified R -matrix approach, and energies, widths and spin assignments were obtained for 111 resonances in an approximative manner. The structure is discussed within the concept of $ \alpha$ -cluster structure in the quasi-continuum of ³⁴S and is compared to recent data for ³²S .     

Paramagnetism of gases in the radiation field

The behaviour of paramagnetic gas (alkaly metal vapour) resonantly interacting with monochromatic radiation, in the presence of a longitudinal constant magnetic field is investigated. The method of quasienergy states and the statistic distribution over the sublevels of atomic ground state in the magnetic field are used. The expression for magnetization are derived as a function of constant magnetic field and of electromagnetic field of different polarizations (the nonlinear inverse Faraday effect particularly) for the case of two-level ($\text{j}{}_1\text{=}\text{1}\text{2}\text{→ j}{}_2\text{=}\text{1}\text{2}\text{,}\text{3}\text{2}$ transitions) and the three-level ($\text{j}{}_1\text{=}\text{1}\text{2}\text{→ j}{}_2\text{=}\text{3}\text{2}\text{→ j}{}_3\text{=}\text{1}\text{2}$ transitions, two-photon resonance) atoms. In the case of two-level atoms an interval of electromagnetic field intensity exists for any given magnetic field where the paramagnetic gas becomes diamagnetic. In the case of two-photon resonance magnetic properties of gas does essentially depend on relative sign of one- and two-photon resonance detunings. When these signs coincide, the atom which behaves like the two-level and in the opposite case the magnetization is described by the Langevin-formula.     

Charge distributions of crystal field states

A formalism is presented, by which the charge density of anyd- orf-crystal field state can be calculated, if the corresponding crystal field wavefunction in the angular representation is known. Based on this formalism three dimensional plots of the spatial crystal field charge distributions of selected 4f-ions are shown.     

Loss of coherence of pure and mixed states for a multimode radiation field interacting nonlinearly with a qubit

We study the loss of coherence of pure and mixed states for a nonlinear interaction between the multimode field and a qubit. We calculate analytically partial entropies of the qubit and field subsystems, which are used to measure the loss of coherence. We find that the loss of coherence loss is sensitive to the initial field states, the number of modes, and the nonlinear-interaction parameter.