sub-Poissonian Character Research Articles

Induced States from Coherent State via Photon-Addition Operations

Three classes of quantum states are induced from coherent state (CS) based on three operations associated with the photon creation operator. One class is the famous photon-added coherent state (PACS) introduced by Agarwal and Tara (Phys. Rev. A 43, 492–497, 1991). The other two classes are the orthogonal states of the CS (Here we abbreviate them as OCS1 and OCS2). Indeed, the OCS1 is just the displacement Fock state, and the OCS2 is constructed by orthogonalizer proposed by Kim group (Phys. Rev. Lett. 116, 110501, 2016). In contrast to the original CS, the three induced states can exhibit their respective nonclassical properties. We study and compare some properties for these four quantum states (CS, PACS, OCS1, OCS2). The studied properties include the mean number of photons, the sub-Poissonian character, the squeezing effect in the field quadrature, and the quasi-probability distributions including the Husimi Q function and the Wigner function. Besides, their fidelities between each two of them are also discussed.

Generation and detection of non-Gaussian phonon-added coherent states in optomechanical systems

Adding excitations on a coherent state provides an effective way to observe nonclassical properties of radiation fields. Here we describe and analyse how to apply this concept to the motional state of a mechanical oscillator and present a full scheme to prepare non-Gaussian {\it phonon}-added coherent states of the mechanical motion in cavity optomechanics. We first generate a mechanical coherent state using electromagnetically induced transparency. We then add a single phonon onto the coherent state via optomechanical parametric down-conversion combined with single photon detection. We validate this single-phonon-added coherent state by using a red-detuned beam and reading out the state of the optical output field. This approach allows us to verify nonclassical properties of the phonon state, such as sub-Poissonian character and quadrature squeezing. We further show that our scheme can be directly implemented using existing devices, and is generic in nature and hence applicable to a variety of systems in opto- and electromechanics.

Sub-Poissonian Narrowing of Length Distributions Realized in Ga-Catalyzed GaAs Nanowires.

Herein, we present experimental data on the record length uniformity within the ensembles of semiconductor nanowires. The length distributions of Ga-catalyzed GaAs nanowires obtained by cost-effective lithography-free technique on silicon substrates systematically feature a pronounced sub-Poissonian character. For example, nanowires with the mean length ⟨L⟩ of 2480 nm show a length distribution variance of only 367 nm2, which is more than twice smaller than the Poisson variance h⟨L⟩ of 808 nm2 for this mean length (with h = 0.326 nm as the height of GaAs monolayer). For 5125 nm mean length, the measured variance is 1200 nm2 against 1671 nm2 for Poisson distribution. A supporting model to explain the experimental findings is proposed. We speculate that the fluctuation-induced broadening of the length distribution is suppressed by nucleation antibunching, the effect which is commonly observed in individual vapor-liquid-solid nanowires but has never been seen for their ensembles. Without kinetic fluctuations, the two remaining effects contributing to the length distribution width are the nucleation randomness for nanowires emerging from the substrate and the shadowing effect on long enough nanowires. This explains an interesting time evolution of the variance that saturates after a short incubation stage but then starts increasing again due to shadowing, remaining, however, smaller than the Poisson value for a sufficiently long time.

Single photons from dissipation in coupled cavities

We propose a single photon source based on a pair of weakly nonlinear optical cavities subject to a one-directional dissipative coupling. When both cavities are driven by mutually coherent fields, sub-poissonian light is generated in the target cavity even when the nonlinear energy per photon is much smaller than the dissipation rate. The sub-poissonian character of the field holds over a delay measured by the inverse photon lifetime, as in the conventional photon blockade, thus allowing single-photon emission under pulsed excitation. We discuss a possible implementation of the dissipative coupling relevant to photonic platforms.

Sub-Poissonian photon emission in coupled double quantum dots–cavity system**Project supported by the National Natural Science Foundation of China (Grant Nos. 61372037 and 61401035), the Beijing Excellent Ph.D. Thesis Guidance Foundation, China (Grant No. 20131001301), and the Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications), China (Grant No. IPOC2015ZC05).

In this work, we theoretically analyze the few-photon emissions generated in a coupled double quantum dots (CDQDs)-single mode microcavity system, under continuous wave and pulse excitation. Compared with the uncoupled case, strong sub-Poissonian character is achieved in a CDQDs–cavity system at a certain laser frequency. Based on the proposed scheme, single photon generation can be obtained separately under QD–cavity resonant condition and off-resonant condition. For different cavity decay rates, we reveal that laser frequency detunings of minimum second-order autocorrelation function are discrete and can be divided into three regions. Moreover, the non-ideal situation where two QDs are not identical is discussed, indicating the robustness of the proposed scheme, which possesses sub-Poissonian character in a large QD difference variation range.

Coherence properties of coupled optomechanical cavities

In this work we investigate an optomechanical system consisting of two cavities coupled to the same mechanical resonator. We consider each cavity being weakly pumped as well as a small tunneling rate between the cavities. In such conditions, the system can be studied via quantum Langevin equations and the steady-state solution can be found perturbatively. In order to ensure that the approximations and methods used to study the system are suitable, the analytical results were compared to numerical results. We study the statistical properties of the cavity radiation fields and we show that depending on the values of the parameters of the system, it is possible to modify the spectrum of the cavities and enhance significantly the sub-Poissonian character of the cavity field.

Strongly correlated excitation of a quasi-1D Rydberg gas

Rydberg excitation dynamics of a 87-Rb cold atom cloud is investigated in an effective one-dimensional geometry. We measure the excitation dynamics and the full counting statistics for resonant and off-resonant excitation to the 70S state. While for a resonant laser excitation the counting distributions have a strong sub-Poissonian character, we find strongly bimodal counting distributions in the off-resonant regime. The n-th central moments, up to n = 4, of the counting distributions are derived from the measured counting distributions.

Optimal sub-Poissonian light generation from twin beams by photon-number resolving detectors

We generate nonclassical conditional states by exploiting the quantum correlations of multimode twin-beam states endowed with a sizeable number of photons. A strong relation between the sub-shot-noise correlations exhibited by twin beams and the sub-Poissonian character of the conditional states is experimentally revealed, determining the optimal conditions for sub-Poissonian light generation.

Dynamic statistical properties of squeezed coherent state superpositions

We carried out a study of statistical properties of a squeezed coherent state superposition (SCSS) evolving under a thermal reservoir at zero and finite temperature. Our results reveal some peculiarities not noticed by previous studies, which were mainly focused on ideal (lossless) properties of SCSS. Our main results indicate the existence of realistic parameters for which SCSS, at zero absolute, remains sub-Poissonian or squeezed asymptotically, while, at finite temperature, we found that SCSS only loses its squeezing or sub-Poissonian character at large times as compared with the time needed to the SCSS become a complete mixture.

Loss-Enabled Sub-Poissonian Light Generation in a Bimodal Nanocavity

We propose an implementation of a source of strongly sub-poissonian light in a system consisting of a quantum dot coupled to both modes of a lossy bimodal optical cavity. When one mode of the cavity is resonantly driven with coherent light, the system will act as an efficient single photon filter, and the transmitted light will have a strongly sub-poissonian character. In addition to numerical simulations demonstrating this effect, we present a physical explanation of the underlying mechanism. In particular, we show that the effect results from an interference between the coherent light transmitted through the resonant cavity and the super-poissonian light generated by photon-induced tunneling. Peculiarly, this effect vanishes in the absence of the cavity loss.

Ultimate Accuracy for the nand Flash Program Algorithm Due to the Electron Injection Statistics

This paper investigates the ultimate accuracy of the NAND flash program algorithm that is determined by the statistical injection of electrons from the substrate to the floating gate. The granular nature of the electron flow during a constant-current Fowler-Nordheim program operation is shown to spread the programmed threshold-voltage distribution of the array cells. The electron injection statistics displays a Poissonian behavior for low amounts of transferred charge, but a sub-Poissonian character becomes clearly evident when large charge packets are stored. This effect is expected from the reduction of the tunnel oxide field that follows each electron storage event into the floating gate, establishing a correlation among such events. Finally, the impact of the electron injection statistical spread on the accuracy of the NAND flash program algorithm is investigated as a function of the technology node feature size, drawing projections on future NAND technologies.

Higher-order properties of photon-added coherent states

We have studied a higher-order squeezing and a higher-order sub-Poissonian photon statistics in photon-added coherent states. We obtained analytic forms of the degree of higher-order squeezing and the degree of higher-order sub-Poissonian statistics. We show that the photon-added coherent state | α , m 〉 exhibits both higher-order squeezing and higher-order sub-Poissonian character. For two different types of higher-order squeezing, the degree of squeezing becomes bigger when the added photon number is increased. In single-photon-added coherent state, the degree of squeezing depends upon the order of squeezing N. When N is increased, the degree of squeezing becomes bigger in the Hong–Mandel-type higher-order squeezing but becomes smaller in the Hillery-type higher-order squeezing. Also, the higher-order sub-Poissonian character is more pronounced than the usual sub-Poissonian character in the single-photon-added coherent state.

Perfect transmission of the sub-Poissonian character of a field via continuous-variable teleportation

Perfect transmission of the sub-Poissonian character of a field via continuous-variable teleportation

Perfect transmission of the sub-poissonian character of a field via continuous-variable teleportation

We optimize the transmission of quantum features in light fields, such as squeezing and antibunching, using continuous variable teleportation and tuning the variable gain in Bob's output.

Nonclassical measure of cavity field interacting with thermal reservoir

The time variation of the nonclassical measure of the cavity field interacting with a thermal reservoir is examined. From the knowledge of the quasi-probability distribution function of the cavity field as a function of time, the nonclassical measure of the state is explicitly calculated in terms of the initial nonclassical measure, the decay constant, and the average number of photons in the reservoir. The nonclassical measure of the sub-Poissonian character is also considered and it is confirmed that the sub-Poissonian character, for an initial Fock state, disappears in half the time required for the cavity field to become classical.

A piecewise deterministic process for homodyne measurement of an atom

The piecewise deterministic process associated with event enhanced quantum theory is constructed in the case of homodyne detection of a two-level atom and the counting distribution is obtained. The non-Markovian property of the photocounting statistics is proved and the sub-Poissonian character of event registration established.

Photon Statistics and Squeezing in the Two-Atom Thermal Jaynes-Cummings Model

The behavior of the mean photon number, photon number variance and field squeezing is investigated for the two two-level atoms prepared in a multiatom squeezed state coupled to the vacuum or thermal field. The value of superposition angle (θ) of the atomic states is found to affect the photon number variance as well as field squeezing. The bound on the sun-Poissonian field concerning the value of θ and input mean photon number is determined. One of the field quadrature is found to exhibit permanent squeezing for the vacuum input in a small range of the value of θ. It is shown that the input thermal photons degrade the sub-Poissonian character and spontaneous squeezing. However, a considerable amount of squeezing is obtained even in the presence of thermal photons.

Higher order sub-Poissonian

The higher order sub-Poissonian is defined and the corresponding non-classical character is analyzed. An example is provided, which has the second order sub-Poissonian character but not the conventional sub-Poissonian character.

Photon correlations in the spectrum of a superradiant system in a strong cavity field

We investigate correlations among photons from the components of the resonance fluorescence spectrum of a cooperative system of two-level atoms interacting with a strong field of a single-mode lossless cavity. The properties of the central band are more closely related to the superradiant effect in free space than the sidebands. The central band field has reduced fluctuations and the collective dipole has its largest uncertainty when half the atoms are initially excited. Partial atomic excitation destroys the sub-Poissonian character of the sideband field and leads to a bunching-antibunching transition in the correlation of a sideband photon followed by a central band photon.

The effect of environment induced pure decoherence on the generalized Jaynes-Cummings model

We have studied the effect of environment induced pure decoherence on the generalized Jaynes-Cummings model (JCM). This generalized JCM is introduced to take into account both atom-field interaction and a class of spin-orbit interactions in the same framework. For generalized JCM with atom-field interaction, it is shown that along with the suppression of the oscillatory behaviour of the atomic and field variables, in the steady state, atomic energy is transferred to the field or vice versa through the dressed state coherence depending on the initial condition of the atom-field system and the model under consideration. It is also shown that initial Poissonian field acquires a sub-Poissonian character in the steady state and thus all the nonclassical properties are not erased by the decoherence in JCM. An interesting effect of this decoherence mechanism is that it affects the population and coherence properties of the individual subsystem in a different way. As an example of generalized JCM with spin-orbit interaction, the dynamics of spin of the hydrogen atom in a magnetic field is studied to show the effect of decoherence.