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New squeezing operator derived using the bipartite coherent entangled state representation 利用二部相干纠缠态表示导出了新的压缩算子
H. Fan, Xu-bing Tang
Using the newly constructed bipartite coherent entangled state, we derive the corresponding squeezing operators, which have their own squeezing properties, in a natural way. The derivation is based on the method of integration within an ordered product of operators and the completeness relation of the bipartite coherent entangled state.
利用新构造的二部相干纠缠态,我们推导出相应的压缩算子,这些算子具有各自的压缩性质。推导基于算子的有序积内积分法和二部相干纠缠态的完备性关系。
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引用次数: 8
Atomic correlations and cavity field decoherence in a strongly driven micromaser 强驱动微脉泽中的原子相关和腔场退相干
F. Casagrande, A. Lulli
In a micromaser where a classical field strongly drives the atoms while they cross the cavity, remarkable atom–atom correlations show up at steady state, which vanish much faster than dissipative decay. Hence we consider atom pair correlation measurements in which the detection of the first probe atom prepares a mesoscopic superposition state of the cavity field, that entangles with a second probe atom. The conditional probabilities for the latter atomic detection provide a description of the decoherence of the superposition state, occurring in an open system in the presence of pumping, driving, dissipative, and thermal effects. The decoherence rate scales as the squared interaction time, that sets the separation in phase space between the superposition components, whereas the quantum coherence is unaffected by the atomic pumping. Hence we further investigate the system when the cavity is not pumped. Starting the correlation measurements from a thermal state, we can describe the effect of temperature on decoherence. Starting from a vacuum state, the superposition states are maximally separated Schrodinger cat states, whose decoherence can thus be monitored.
在微脉泽中,当原子穿过腔时,经典场强烈驱动原子,在稳定状态下出现了显著的原子-原子相关性,这种相关性比耗散衰变消失得快得多。因此,我们考虑原子对相关测量,其中第一个探测原子的探测准备了与第二个探测原子纠缠的腔场的介观叠加态。后一种原子探测的条件概率提供了叠加态退相干的描述,发生在一个开放系统中存在抽运、驱动、耗散和热效应。退相干率以相互作用时间的平方为尺度,这决定了叠加分量在相空间中的分离,而量子相干性不受原子泵浦的影响。因此,我们进一步研究了不抽运腔时的系统。从热态开始相关测量,我们可以描述温度对退相干的影响。从真空状态出发,叠加态是最大限度分离的薛定谔猫态,因此可以监测其退相干。
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引用次数: 4
Secure communication with a heralded single-photon source 与预告单光子源的安全通信
A. Trifonov, A. Zavriyev
Secure long distance communication over optical fibres requires robust data encryption. While the encryption itself can be conducted using classical algorithms, there is no unconditionally secure method of classical key distribution. Quantum key distribution (QKD), on the other hand, can provide users of the optical networks with unconditionally secure keys. Since QKD is based on single-photon transmission, one of the challenging tasks is to overcome the distance limitation imposed by the losses in optical fibres. In this work we show that single-photon based QKD outperforms the industry-standard weak coherent pulse approach. We also present our recent experimental results on building a heralded single-photon source based on spontaneous parametric down-conversion of CW light and discuss problems and challenges of heralded single-photon generation in the CW regime.
通过光纤进行安全的长距离通信需要强大的数据加密。虽然加密本身可以使用经典算法进行,但没有无条件安全的经典密钥分发方法。量子密钥分发(QKD)可以为光网络用户提供无条件安全的密钥。由于量子密钥分配基于单光子传输,因此克服光纤损耗带来的距离限制是具有挑战性的任务之一。在这项工作中,我们表明基于单光子的QKD优于工业标准的弱相干脉冲方法。我们还介绍了基于连续波光的自发参数下转换构建预传单光子源的最新实验结果,并讨论了在连续波环境下预传单光子产生的问题和挑战。
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引用次数: 26
Simple direct measurement of nonclassical joint signal–idler photon-number statistics and the correlation area of twin photon beams 非经典联合信号闲散光子数统计和双光子光束相关面积的简单直接测量
O. Haderka, J. Peřina, M. Hamar
The measurement of the joint signal–idler photon-number distribution of a field obtained from spontaneous parametric downconversion using an intensified CCD camera is presented. It is shown that a classicality criterion is violated directly by the measured data. Characteristic dimensions of the area of correlation are determined in the same experimental set-up.
本文介绍了用加强型CCD相机测量自发参量下转换后的场的联合信号闲散光子数分布。结果表明,实测数据直接违背了经典准则。在相同的实验装置中确定了相关面积的特征尺寸。
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引用次数: 20
Squeezing generation, revivals and entanglement in a cavity–ion system in contact with a thermal reservoir 与热储层接触的空腔-离子体系中的挤压产生、恢复和纠缠
R. Rangel, N. Zagury
We consider a system consisting of a single two-level ion in a harmonic trap, which is localized inside an optical cavity in contact with a thermal bath and subjected to the action of two external lasers. We are able to obtain an analytical solution for the total density operator of the system and show that squeezing in the motion of the ion and in the cavity field is generated. We also show that complete revivals of the states of the motion of the ion and of the cavity field occur periodically when the temperature is zero. The correlations and entanglement between the motion and the cavity field are studied. We found that for entanglement may either disappear completely for finite times or disappear and appear during finite intervals.
我们考虑了一个由谐波阱中单个双能级离子组成的系统,该系统定位在与热浴接触的光学腔内,并受到两个外部激光器的作用。我们得到了系统总密度算符的解析解,并表明在离子运动和腔场中产生了挤压。我们还表明,当温度为零时,离子的运动状态和腔场的运动状态周期性地完全恢复。研究了运动与腔场之间的关联和纠缠。我们发现纠缠可以在有限时间内完全消失,也可以在有限时间内消失并出现。
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引用次数: 1
About SIC POVMs and discrete Wigner distributions 关于SIC povm和离散Wigner分布
S. Colin, J. Corbett, T. Durt, D. Gross
A set of d2 vectors in a Hilbert space of dimension d is called equiangular if each pair of vectors encloses the same angle. The projection operators onto these vectors define a POVM which is distinguished by its high degree of symmetry. Measures of this kind are called symmetric informationally complete, or SIC POVMs for short, and could be applied for quantum state tomography. Despite its simple geometrical description, the problem of constructing SIC POVMs or even proving their existence seems to be very hard. It is our purpose to introduce two applications of discrete Wigner functions to the analysis of the problem at hand. First, we will present a method for identifying symmetries of SIC POVMs under Clifford operations. This constitutes an alternative approach to a structure described before by Zauner and Appleby. Further, a simple and geometrically motivated construction for an SIC POVM in dimensions two and three is given (which, unfortunately, allows no generalization). Even though no new structures are found, we hope that the re-formulation of the problem may prove useful for future inquiries.
在d维的希尔伯特空间中,如果每一对向量都包含相同的角,则d2向量的集合称为等角向量。这些向量上的投影算子定义了一个POVM,其特点是高度对称。这种测量被称为对称信息完备,简称SIC povm,可以应用于量子态层析成像。尽管它的几何描述很简单,但构造SIC povm甚至证明其存在的问题似乎非常困难。我们的目的是介绍离散维格纳函数在分析手头问题中的两种应用。首先,我们将提出一种在Clifford操作下识别SIC povm对称性的方法。这构成了Zauner和Appleby之前描述的结构的另一种方法。此外,给出了二维和三维SIC POVM的一个简单的几何驱动结构(不幸的是,它不允许泛化)。尽管没有找到新的结构,我们希望重新提出这个问题可能对今后的调查有用。
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引用次数: 36
Time-dependent quantum damped oscillator with ‘minimal noise’: application to the nonstationary Casimir effect in nonideal cavities 具有“最小噪声”的时变量子阻尼振荡器:应用于非理想腔中的非平稳卡西米尔效应
V. Dodonov
We consider a consistent model of a quantum damped harmonic oscillator with arbitrary time-dependent frequency and damping coefficients in the frameworks of the Heisenberg–Langevin equations with two noncommuting delta-correlated noise operators. For the 'minimal noise' set of correlation functions, which have the same time dependence as the damping coefficient, we obtain the exact solution, which is the generalization of Husimi's solution for the undamped nonstationary oscillator. The model is applied to the problem of the photon creation from vacuum or thermal states due to the nonstationary Casimir effect inside the cavity with periodical time-dependent conductivity of the thin semiconductor boundary layer, simulating the periodical displacements of the wall. The general formula for the rate of photon generation under the resonance conditions in the presence of dissipation is obtained.
在具有两个非交换delta相关噪声算子的Heisenberg-Langevin方程框架中,我们考虑了具有任意时变频率和阻尼系数的量子阻尼谐振子的一致模型。对于与阻尼系数具有相同时间依赖性的“最小噪声”相关函数集,我们得到了精确解,这是对无阻尼非平稳振荡器的Husimi解的推广。将该模型应用于具有周期时变电导率的半导体薄边界层腔内的非稳态卡西米尔效应引起的真空或热态光子产生问题,模拟了壁的周期性位移。得到了存在耗散的共振条件下光子产生速率的一般公式。
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引用次数: 12
Nonunitary squeezing and biorthogonal scalar products in polarization optics 偏振光学中的非酉压缩和双正交标量积
Y. Ben-Aryeh
The polarization vectors of monochromatic electromagnetic fields can be transformed by multiplying them by 2 ? 2 matrices representing, respectively, retardation plates, rotators and partial polarizers. The present description of partial polarizers is related to a two-dimensional Lorentz algebra SU(1,1) leading to nonunitary squeezing as the present SU(1,1) algebra includes non-Hermitian operators in addition to the Hermitian ones. The present analysis exploits the use of similarity transformations which are more general than the unitary transformations used usually in quantum mechanics. By performing a similarity transformation on a set of Hermitian physical operators the transformed operators are Hermitian with respect to new scalar product defined by the use of a new metric. It is shown that such transformations can be implemented experimentally by the use of polarization optics and the metric obtained in such transformations is analysed.
单色电磁场的偏振矢量可以通过乘以2 ?2个矩阵分别表示缓速板、旋转器和部分偏振器。目前的部分偏振子描述与二维洛伦兹代数SU(1,1)有关,导致非酉压缩,因为目前的SU(1,1)代数除了厄米算子外还包括非厄米算子。本分析利用相似变换的使用,它比通常在量子力学中使用的幺正变换更普遍。通过对一组厄米物理算子进行相似变换变换后的算子对于由新度量定义的新标量积是厄米的。实验表明,利用偏振光学可以实现这种变换,并分析了这种变换所得到的度量。
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引用次数: 5
Squeeze transformation and optics after Einstein 爱因斯坦之后的挤压变换和光学
Young S. Kim, M. Man'ko, M. Planat
With this special issue, Journal of Optics B: Quantum and Semiclassical Optics contributes to the celebration of the World Year of Physics held in recognition of five brilliant papers written by Albert Einstein in 1905. There is no need to explain to the readers of this journal the content and importance of these papers, which are cornerstones of modern physics. The 51 contributions in this special issue represent current trends in quantum optics —100 years after the concept of light quanta was introduced. At first glance, in his famous papers of 1905, Einstein treated quite independent subjects—special relativity, the nature and statistical properties of light, electrodynamics of moving bodies and Brownian motion. We now know that all these phenomena are deeply related, and these relations are clearly shown in many papers in this issue. Most of the papers are based on the talks and poster contributions from participants of the 9th International Conference on Squeezed States and Uncertainty Relations (ICSSUR'05), which took place in Besancon, France, 2–6 May, 2005. This was the continuation of a series of meetings, originating with the first workshops organized by Professor Y S Kim at the University of Maryland, College Park, USA, in 1991 and by Professor V I Man'ko at the Lebedev Physical Institute, Moscow in 1992. One of the main topics of ICSSUR'05 and this special issue is the theory and applications of squeezed states and their generalizations. At first glance, one could think that this subject has no relation to Einstein's papers. However, this is not true: the theory of squeezed states is deeply related to special relativity, as far as it is based on the representations of the Lorentz group (see the paper by Kim Y S and Noz M E, S458–S467), which also links the current concepts of entanglement and decoherence with Lorentz-covariance. Besides, studies of the different quantum states of light imply, after all, the study of photon (or photo-electron) statistics and fluctuations of the electromagnetic field, whose importance was first emphasized by Einstein in 1905. The squeezed states can also be considered as a generalization of the concept of coherent states, which turned out to be one of the most important theoretical tools for solving the numerous problems of quantum optics. It seems highly symbolical that the printed version of this special issue will appear in the same month when one of the prominent creators of the theory of coherent states and modern quantum optics—Professor Roy J Glauber—will receive his Nobel Prize in Stockholm. ICSSUR'05 was opened by the invited talk of R J Glauber, `What makes a quantum jump?', and we take great pleasure in congratulating him on this well deserved award. We are sure that all participants of ICSSUR'05 and all readers of this special issue share our feelings. Two other Nobel Prize winners of 2005—Professor J L Hall and Professor T W H"ansch—also made great contributions to quantum optics. In partic
《光学杂志B:量子与半经典光学》为纪念爱因斯坦在1905年发表的五篇杰出论文而举办的世界物理年活动做出了贡献。这些论文是现代物理学的基石,它们的内容和重要性无需向本刊的读者解释。这期特刊中的51篇文章代表了光量子概念提出100年后量子光学的最新发展趋势。乍一看,在他1905年的著名论文中,爱因斯坦研究的是完全独立的学科——狭义相对论、光的性质和统计性质、运动物体的电动力学和布朗运动。我们现在知道,所有这些现象都是密切相关的,这些关系在本期的许多论文中都得到了清楚的体现。大多数论文都是基于2005年5月2-6日在法国贝桑松举行的第九届挤压国家与不确定性关系国际会议(ICSSUR'05)的参与者的演讲和海报贡献。这是一系列会议的延续,始于1991年美国马里兰大学Y S Kim教授和1992年莫斯科列别捷夫物理研究所V I Man'ko教授组织的第一次讲习班。ICSSUR'05和本特刊的主要主题之一是压缩态的理论和应用及其推广。乍一看,人们可能会认为这个主题与爱因斯坦的论文无关。然而,这是不正确的:压缩态理论与狭义相对论密切相关,因为它是基于洛伦兹群的表示(见Kim Y S和Noz M E的论文,S458-S467),它也将当前的纠缠和退相干概念与洛伦兹协方差联系起来。此外,对光的不同量子态的研究,毕竟意味着对光子(或光电子)统计和电磁场涨落的研究,这一点的重要性是爱因斯坦在1905年首先强调的。压缩态也可以被认为是相干态概念的推广,相干态是解决量子光学众多问题的最重要的理论工具之一。这期特刊的印刷版将出现在相干态理论和现代量子光学的杰出创造者之一罗伊·J·格劳伯教授在斯德哥尔摩接受诺贝尔奖的同一个月,这似乎具有高度的象征意义。ICSSUR'05由R J Glauber的邀请演讲开幕,“是什么造成了量子跃迁?”’,我们非常高兴地祝贺他获得这个当之无愧的奖项。我们相信,所有ICSSUR'05的参与者和本期特刊的所有读者都会分享我们的感受。另外两位2005年诺贝尔奖得主J·L·霍尔教授和T·W·H·ansch教授也对量子光学做出了巨大贡献。特别是在1986年,J L Hall与合作者进行了第一次通过参数下转换产生压缩态的实验,获得了50%水平的压缩(Wu L A, Kimble H J, Hall J L and Wu H 1986 Phys.)。Rev. Lett. 57 2520)。另一个在过去十年中引起许多研究者关注的领域是量子相关、纠缠和量子非定域性问题,在本期特刊中有很好的体现。它也与爱因斯坦的名字联系在一起,因为他在1935年与波多尔斯基和罗森一起写了著名的“EPR”论文。几十年来,这只是一个“思想实验”的领域,但现在这个领域正在成为物理学的一个新部分,被称为“量子信息”。读者可以找到几篇介绍该领域新概念的论文,例如伽罗瓦代数和离散维格纳函数的应用。光与物质的相互作用(也起源于爱因斯坦1905年的论文)、定与非定的卡西米尔效应、退相干、新形式的不确定性关系及其实验验证等不同问题的解答也可以在这一期中找到。许多其他贡献将发表在国际现代物理学杂志B的另一个特刊上,题为“现代光学中的量子信息”。本特刊也是《光学学报B:量子与半经典光学》的最后一期。在过去的15年里,这本杂志和它的前身——量子光学和量子与半经典光学——在量子光学界获得了极大的尊重。在此期间,许多突破性的论文发表在其页面上(例如,参见Schrade G, Man'ko V I, Schleich W P和Glauber R J 1995 Paul阱量子半类中的Wigner函数)。Opt. 7 307)。自1999年以来,光学杂志B:量子与半经典光学为每次ICSSUR会议出版特刊。 《光学杂志B:量子与半经典光学》为纪念爱因斯坦在1905年发表的五篇杰出论文而举办的世界物理年活动做出了贡献。这些论文是现代物理学的基石,它们的内容和重要性无需向本刊的读者解释。这期特刊中的51篇文章代表了光量子概念提出100年后量子光学的最新发展趋势。乍一看,在他1905年的著名论文中,爱因斯坦研究的是完全独立的学科——狭义相对论、光的性质和统计性质、运动物体的电动力学和布朗运动。我们现在知道,所有这些现象都是密切相关的,这些关系在本期的许多论文中都得到了清楚的体现。大多数论文都是基于2005年5月2-6日在法国贝桑松举行的第九届挤压国家与不确定性关系国际会议(ICSSUR'05)的参与者的演讲和海报贡献。这是一系列会议的延续,始于1991年美国马里兰大学Y S Kim教授和1992年莫斯科列别捷夫物理研究所V I Man'ko教授组织的第一次讲习班。ICSSUR'05和本特刊的主要主题之一是压缩态的理论和应用及其推广。乍一看,人们可能会认为这个主题与爱因斯坦的论文无关。然而,这是不正确的:压缩态理论与狭义相对论密切相关,因为它是基于洛伦兹群的表示(见Kim Y S和Noz M E的论文,S458-S467),它也将当前的纠缠和退相干概念与洛伦兹协方差联系起来。此外,对光的不同量子态的研究,毕竟意味着对光子(或光电子)统计和电磁场涨落的研究,这一点的重要性是爱因斯坦在1905年首先强调的。压缩态也可以被认为是相干态概念的推广,相干态是解决量子光学众多问题的最重要的理论工具之一。这期特刊的印刷版将出现在相干态理论和现代量子光学的杰出创造者之一罗伊·J·格劳伯教授在斯德哥尔摩接受诺贝尔奖的同一个月,这似乎具有高度的象征意义。ICSSUR'05由R J Glauber的邀请演讲开幕,“是什么造成了量子跃迁?”’,我们非常高兴地祝贺他获得这个当之无愧的奖项。我们相信,所有ICSSUR'05的参与者和本期特刊的所有读者都会分享我们的感受。另外两位2005年诺贝尔奖得主J·L·霍尔教授和T·W·H·ansch教授也对量子光学做出了巨大贡献。特别是在1986年,J L Hall与合作者进行了第一次通过参数下转换产生压缩态的实验,获得了50%水平的压缩(Wu L A, Kimble H J, Hall J L and Wu H 1986 Phys.)。Rev. Lett. 57 2520)。另一个在过去十年中引起许多研究者关注的领域是量子相关、纠缠和量子非定域性问题,在本期特刊中有很好的体现。它也与爱因斯坦的名字联系在一起,因为他在1935年与波多尔斯基和罗森一起写了著名的“EPR”论文。几十年来,这只是一个“思想实验”的领域,但现在这个领域正在成为物理学的一个新部分,被称为“量子信息”。读者可以找到几篇介绍该领域新概念的论文,例如伽罗瓦代数和离散维格纳函数的应用。光与物质的相互作用(也起源于爱因斯坦1905年的论文)、定与非定的卡西米尔效应、退相干、新形式的不确定性关系及其实验验证等不同问题的解答也可以在这一期中找到。许多其他贡献将发表在国际现代物理学杂志B的另一个特刊上,题为“现代光学中的量子信息”。本特刊也是《光学学报B:量子与半经典光学》的最后一期。在过去的15年里,这本杂志和它的前身——量子光学和量子与半经典光学——在量子光学界获得了极大的尊重。在此期间,许多突破性的论文发表在其页面上(例如,参见Schrade G, Man'ko V I, Schleic
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引用次数: 1
Towards quantum correlated polariton modes in semiconductor microcavities 半导体微腔中量子相关极化子模式的研究
M. Romanelli, C. Leyder, J. Karr, A. Baas, E. Giacobino, A. Bramati
In planar semiconductor microcavities in the strong coupling regime, nonlinear effects such as a Kerr-like effect, parametric fluorescence and parametric oscillation are observed, as a result of the parametric scattering of polaritons. After discussing the basic physical properties of the system and their theoretical description, we report on our experimental demonstration of polariton squeezing in the degenerate scattering configuration (Kerr configuration), and on the generation of correlated polaritons in the nondegenerate configuration. The latter results open the way to the generation of quantum correlated polariton modes.
在强耦合条件下的平面半导体微腔中,极化子的参数散射导致了类克尔效应、参数荧光和参数振荡等非线性效应。在讨论了系统的基本物理性质及其理论描述之后,我们报告了我们在简并散射构型(Kerr构型)中极化子压缩的实验演示,以及在非简并构型中相关极化子的产生。后者的结果为量子相关极化激子模式的产生开辟了道路。
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引用次数: 3
期刊
Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society
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