Spin Squeezing in Mixed Model of the One-Axis Twisting and Two-Axis Counter-Twisting with Decay

We investigate spin squeezing of a collective spin system governed by mixed Hamiltonian of the one-axis twisting and two-axis counter-twisting with decay. The analytic solutions of the optimally squeezed angle and the spin squeezing parameter are derived. It is shown that the two-axis counter-twisting Hamiltonian induces stronger spin squeezing than the one-axis twisting one. It is also shown that the decay rate has no effect on the size of the squeezing parameter, it only affects the period of squeezing parameter.     

Single-Particle Coherence and Spin Squeezing in Four-Qubit Phase State

We investigate single-particle coherence and spin squeezing in four-qubit phase state governed by an one-axis twisting Hamiltonian. In particular, we are interesting in the dependence of single-particle coherence and spin squeezing on the nonlinear interaction. It is shown that single-particle coherence and spin squeezing parameter only depend on the nonlinear interaction and they are periodic function of nonlinear interaction.     

Generating Spin Squeezed State of Atom-Photon with Stimulated Raman Transition

We consider how to generate spin squeezed state of atom-photon with stimulated Raman transition. We first derive the effective Hamiltonian and then obtain the analytical solution for state vector, the optimally squeezed angle and then the squeezing parameter. It is shown that the spin squeezed state can be generated by appropriately adjusting the atom-laser dipole interaction and two-photon detuning.     

Single-Particle Coherence and Spin Squeezing in Two-Particle Phase State

We investigate the relation between the single-particle coherence and spin squeezing in two-particle phase state governed by an one-axis twisting Hamiltonian. The single-particle coherence and spin squeezing parameter only depends on the nonlinear interaction, and they have the same period of oscillation and the maximum and the minimum.     

Spin Squeezing in Superpositions of GHZ State and W States

We investigate the spin squeezing in superpositions of a N-qubit GHZ state and two W states. The spin squeezing parameter is determined by the superposition coefficients and the relative phase. It is shown that there is squeezing in the n ₂ direction and there is no squeezing in the n ₁ direction. It is also shown that the state with more number of qubits has smaller spin squeezing parameter.     

Spin Squeezing for Superpositions of Dicke States

We investigate spin squeezing for superpositions of Dicke states. We derive the mean spin direction, the length of mean spin, the optimally squeezed angle and numerically calculate the spin squeezing parameter, which is determined by on the superposed coefficients and the relative phase. Approximate same superposed amplitude and the smaller relative phase lead to the larger the length of mean spin, the stronger spin squeezing and spin squeezing maintains in a longer time interval.     

Phase Coherence and Spin Squeezing in One-Axis Twisting Model with Decay

We investigate phase coherence and spin squeezing of a collective spin governed by one-axis twisting Hamiltonian with decay. Here we are interested in the dependence of phase coherence and spin squeezing parameter on the decay. The analytical expressions of phase coherence and spin squeezing parameter are obtained. The stronger decay can induce a stronger spin squeezing, and the squeezing can maintain a longer time interval. Moreover, more squeezing can be achieved by increasing the number of particles.     

Entangled Property of a Multipartite State Superposed by Three Dicke States with Arbitrary Relative Phases

With spin squeezing parameter we investigate the entangled property of a multipartite state superposed by three Dicke states with arbitrary relative phases. We first derive the mean spin direction, the optimally squeezed angle, and then numerically calculate the dependence of spin squeezing parameter on the superposition coefficients, the relative phases and the forms of the Dicke states. It’s shown that the entangled property depends on these parameters.     

Even and Odd Charge Coherent States: Higher-Order Nonclassical Properties and Generation Scheme

We examine the higher-order nonclassical properties of the even and odd charge coherent states as well as proposing a scheme to generate these states whose modes can freely travel in open space. We show that the even and odd charge coherent states exhibit both higher-order antibunching and higher-order squeezing. While the two-mode higher-order antibunching occurs in any order and essentially depends on the charge number, the two-mode higher-order squeezing appears only in the even orders. We also prove that these states are genuinely entangled, and they can be generated by means of cross-Kerr media, beam splitters, phase shifts and threshold detectors. We find that the fidelity and the corresponding success probability to generate these states are dependent on the correlative parameters.     

压缩迭加态及其特性

压缩迭加态是由迭加态通过压缩系统后产生的一种辐射经典态。这种具备了Ｗｉｇｎｅｒ相空间压缩和相干迭加压缩两种机制。详细讨论了这种压缩迭加态的量子统计性质及压缩特性。     

Entanglement Swapping for Displaced Two-Mode Squeezed States

We discuss the entanglement swapping of two pairs of displaced two-mode squeezed states and find that the squeezing parameter of the outcoming squeezed state is less than that of the originM squeezed states. The calculation is greatly simplified by virtue of the natural expression of the two-mode squeezing operator in EPR eigenstate representation. A protocol for such entanglement swapping is proposed.``     

f-Deformed Squeezed Vacuum and First Excited States,Their Superposition and Corresponding Nonclassical Properties

In this paper, we introduce two new classes of nonlinear squeezed states that we name as f-deformed squeezed vacuum state|ξ, f even and f-deformed squeezed first excited state |ξ, f odd, which according to their production processes, essentially include only even and odd bases of Fock space, respectively. In the continuation, we introduce the superposition of these two distinct nonlinear squeezed states with a respective phase ?. Then, some of the criteria which imply the nonclassicality of the states, such as Mandel parameter, second-order correlation function, quadrature squeezing, amplitude-squared squeezing, Husimi and Wigner–Weyl quasi-distribution functions, are numerically examined. At last, by considering a well-known nonlinearity function associated with a nonlinear physical system, we present our results which outcome from the numerical calculations. It is shown that, the introduced f-deformed states can reveal high nonclassical features.     

Spin Squeezing in Multi-Qubit State

We investigate the spin squeezing of a multi-qubit state superposed by four Dicke state. Numerically solutions for optimally squeezed angle and spin squeezing parameter are derived. Optimally squeezed angle and spin squeezing parameter are determined by the superposition coefficients and the relative phase.     

Tunable two-axis spin model and spin squeezing in two cavities

Multi-mode cavities have now attracted much attention both experimentally and theoretically. In this paper, inspired by recent experiments of cavity-assisted Raman transitions, we realize a two-axis spin Hamiltonian H = q(J_x~2+ χJ_y~2) + ω_0J_z in two cavities. This realized Hamiltonian has a distinct property that all parameters can be tuned independently. For proper parameters, the well-studied one- and two-axis twisting Hamiltonians are recovered, and the scaling of N~(-1) of the maximal squeezing factor can occur naturally. On the other hand, in the two-axis twisting Hamiltonian, spin squeezing is usually reduced when increasing the atomic resonant frequency ω_0. Surprisingly, we find that by combining with the dimensionless parameter χ(-1), this atomic resonant frequency ω_0 can enhance spin squeezing greatly. These results are beneficial for achieving the required spin squeezing in experiments.     

Spin squeezing in Dicke-class of states with non-orthogonal spinors

The celebrated Majorana representation is exploited to investigate spin squeezing in different classes of pure symmetric states of N qubits with two distinct spinors, namely the Dicke-class of states. On obtaining a general expression for spin squeezing parameter, the variation of squeezing for different configurations is studied in detail. It is shown that the states in the Dicke-class, characterized by two-distinct non-orthogonal spinors, exhibit squeezing.     

Controlling Single-Particle Coherence and Spin Squeezing with Stimulated Raman Transition

We present a scheme for controlling single-particle coherence and spin squeezing of atom-photon with stimulated Raman transition. Here we are focus on the dependence of spin squeezing parameter on the mean photon number. We first derive the effective Hamiltonian and then obtain the analytical solution for state vector, the single-particle coherence and spin squeezing parameter. The stronger spin squeezing can be created by adding the mean photon number.     

Simple Scheme for Dynamical Preparation of Spin Squeezed State of Trapped Ions

A scheme is proposed to dynamically prepare spin squeezed state of trapped ions, which are simultaneously excited by a laser beam. Simple analytical formula for the spin squeezing parameter has been derived. Its shown that the spin squeezed state can be dynamically generated by adjusting the detunning, the Lamb-Dicke parameter and the Rabi frequency.     

Higher-order squeezing of quantum electromagnetic fields and higher-order uncertainty relations in two-mode squeezed states

It is found that the two-mode output quantum electromagnetic field in two-mode squeezed states exhibits higherorder squeezing to all even orders, and the degree of higher-order squeezing is greater than that of the second-order.The higher-order squeezed parameter and squeezed limit due to the modulation frequency are investigated. The smaller the modulation frequency is, the stronger the degree of higher-order squeezing becomes. Furthermore, the higher-order uncertainty relations in two-mode squeezed states are presented for the first time. The product of higher-order noise moments is related to even order number N and the squeeze factor r.     

激发压缩真空态的相位概率分布

应用Pegg和Barnett提出的相位算符和相位态理论,研究了激发压缩真空态的相位概率分布特性.数值计算结果表明,激发压缩真空态的相位概率分布主要受到相位参量和压缩参量的调节,相位参量使相位概率分布呈峰值结构,压缩参量的变化将影响相位概率分布的峰值强度,此外激发光子数对相位概率分布也有较大的影响.     

Successively Squeezed States Studied by Virtue of the IWOP Technique

Two kinds of successively squeezed states which are generated by re-squeezing two single mode squeezed states by the two-mode squeezing operator, or by re-squeezing a two-mode squeezed state by two single-mode squeezing operators, are studied in terms of the newly developed technique of integration within an ordered product (IWOP) of operators. The fluctuations in quadrature phases for the resqueezed states are analyzed.