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Realization of a resonant non-linear phase flip in cavity quantum electrodynamics

Realization of a resonant non-linear phase flip in cavity quantum electrodynamics
Realization of a resonant non-linear phase flip in cavity quantum electrodynamics

a r X i v :q u a n t -p h /0209151v 1 27 S e p 2002

Realization of a resonant non-linear phase ?ip in cavity quantum

electrodynamics

Holger F.Hofmann a,b ,Kunihiro Kojima b ,Shigeki Takeuchi a,b ,and Keiji Sasaki

b

a

PRESTO,Japan Science and Technology Corporation (JST)

b

Research Institute for Electronic Science,Hokkaido University,Sapporo 060-0812

Tel/Fax:011-706-2648e-mail:h.hofmann@https://www.doczj.com/doc/462047838.html,

Abstract

Optical nonlinearities sensitive to individual photons may be extremely useful as elements in quantum logic circuits for photonic qubits.A much cited example is the work of Turchette et al.[Phys.Rev.Lett.75,4710(1995)],in which a phase shift of about 10degrees was reported.To improve this result,we propose a single sided cavity geometry with minimal

cavity losses.It should then be possible to achieve a

nonlinear phase shift of 180degrees.

Keywords:quantum level nonlinearity,cavity quan-tum electrodynamics 1Introduction

One of the fundamental challenges in realizing opti-cal quantum computation and similar applications of quantum information encoded in photonic qubits is the relative weakness of nonlinear interactions that could couple individual photons.Among the many propos-als made to overcome this limitation,some of the most impressive results have been obtained in cavity quan-tum electrodynamics [1].In particular,the experimen-tal observation of a nonlinear phase shift of 10degrees reported by Turchette et al.has attracted a lot of at-tention [2].The mechanism by which this phase shift is obtained is the saturation of a single two level atom con?ned in a single mode cavity.Therefore,the phase shift depends on a non-vanishing excitation of the atom and the results obtained for the magnitude of the phase shift should increase as the pump light approaches res-onance.The main limitation of this resonant improve-ment of the nonlinear phase shift is set by the sensi-tivity of the cavity transmission and the transversal losses to the atomic resonance.We therefore propose a re?ection geometry with negligible transversal losses as an optimized device for obtaining a nonlinear phase

shift sensitive to individual photons [3].With such a device,it should be possible to achieve nonlinear phase shifts of 180degrees.2Optical con?nement and the purpose of a bad cavity The source of the strong nonlinearity observed in cav-ity quantum electrodynamics is the two level atom that changes its optical properties drastically in its transi-tion from ground state to excited state.In principle,

this nonlinear change of the optical response is found in any individual two level system.However,it is dif-?cult to isolate a single two level atom in such a way that the optical input and output ?elds can be focussed

e?ciently on this individual atomic system.For this purpose,it is convenient to use a resonant cavity with a length equal to half a wavelength.In such a cav-ity,it is possible to suppress the coupling of the atom with any mode other than the single resonant cavity mode.As a result,all of the light entering the cav-ity will interact with the atom,and most of the light radiated by the atom will be emitted through the cav-ity mode.E?ectively,it is the purpose of the cavity to focus all the input light on the atom and to guide all the output light to the detectors.The longitudinal con?nement given by the cavity lifetime is not relevant for this purpose.It is therefore possible to achieve very good results in the bad cavity regime,where the cavity decay rate κis much faster than the coupling rate g of the ?eld-atom interaction.Figure 1illustrates a one sided cavity setup with

negligible transversal losses (γ?κ,g ).In this setup,the two level atom inside the cavity only interacts with the one dimensional ?elds on the left side of the cav-1

R B ≈1

R F ?1|E

dt

?σ? =?Γ ?σ? +2

dt

?σz

=?2Γ

?σz +

1

2βΓ b ?in

(t ) ?σ? +b in (t ) ?σ? ? .(1)In this formulation,the atom dynamics itself depends

only on the dipole relaxation rate Γgiven by

Γ=

g 2

2.

(2)

Since this dipole relaxation rate is entirely due to spon-taneous emission,the total spontaneous emission rate is equal to 2Γand the two contributions to Γcan be identi?ed with spontaneous emission through the cav-ity (g 2/κ)and with emission into non-cavity modes (γ/2),respectively.The only other coe?cient describ-ing the cavity geometry is the spontaneous emission factor βthat describes the fraction of the total sponta-neous emission emitted through the cavity,such that the coupling between the atom and the cavity input ?eld b in is given by

βΓ=

g 2

2βΓ ?σ? .(4)

Again,the spontaneous emission factor βmodi?es the

coupling between the atom and the ?eld.It is therefore interesting to investigate how a variation of βa?ects the nonlinear response of the atom.

3

Nonlinear response and phase shift optimization

For a continuous input ?eld of frequency ωand ampli-tude b in ,the steady state solution of equation (1)is given by

?σz =

?

Γ2+ω22βΓ(Γ?iω)

Γ2+ω2+4βΓ|b in |2

b in

=

((1?2β)Γ+iω)(Γ?iω)+4βΓ|b in |2

(a)Phase shift for β=0.2

-3

-2

-1

1

2

3

24681012

1416|?φ|

(deg.)

ω/Γ

(b)Phase shift for β=0.4

-3-2-10123

10203040

|?φ|

(deg.)

ω/Γ

(c)Phase shift for β=0.6

-3

-2

-1

1

2

3

255075100

125

150175|?φ|(deg.)

ω/Γ(d)Phase shift for β=0.8

-3

-2

-1

1

2

3

255075100

125

150175|?φ|(deg.)

ω/Γ

Figure 2:Dependence of the nonlinear phase shift ?φon the detuning frequency ωfor di?erent spontaneous emission factors β.

resonance,these regimes can be de?ned with respect to the dipole relaxation rate as |b in |2?Γ/βand |b in |2?Γ/β,respectively.In other words,Γ/βde?nes the intensity of the input light at which the nonlinear e?ect becomes signi?cant.

In the limit of high intensity input ?elds,|b in |2?Γ/β,the atom is completely saturated ( ?σz =0),and the response is that of 100%re?ection at an empty cavity,

b out ≈b in .(7)

The nonlinear phase shift obtained by this saturation e?ect is therefore equal to the phase shift caused by the single atom in the linear limit of weak ?elds,|b in |2?Γ/β).In this case,the response of the atomic system is given by

b out ≈

Γ(1?2β)+iω

given by equation(7)also includes an increase of the re?ected amplitude.For weak?elds,only a fractionηof the input intensity is re?ected.This fraction is given by

Γ2(1?2β)2+ω2

η=

财务管理专业英语 句子及单词翻译

Financial management is an integrated decision-making process concerned with acquiring, financing, and managing assets to accomplish some overall goal within a business entity. 财务管理是为了实现一个公司总体目标而进行的涉及到获取、融资和资产管理的综合决策过程。 Decisions involving a firm’s short-term assets and liabilities refer to working capital management. 决断涉及一个公司的短期的资产和负债提到营运资金管理 The firm’s long-term financing decisions concern the right-hand side of the balance sheet. 该公司的长期融资决断股份资产负债表的右边。 This is an important decision as the legal structure affects the financial risk faced by the owners of the company. 这是一个重要的决定作为法律结构影响金融风险面对附近的的业主的公司。 The board includes some members of top management(executive directors), but should also include individuals from outside the company(non-executive directors). 董事会包括有些隶属于高层管理人员(执行董事),但将也包括个体从外公司(非执行董事)。 Maximization of shareholder wealth focuses only on stockholders whereas maximization of firm value encompasses all financial claimholders including common stockholders, debt holders, and preferred stockholders. 股东财富最大化只集中于股东,而企业价值最大化包含所有的财务债券持有者,包括普通股股东,债权人和优先股股东。 Given these assumptions,shareholders’ wealth maximization is consistent with the best interests of stakeholders and society in the long run。 根据这些假设,从长期来看,股东财富最大化与利益相关者和社会的最好利润是相一致的。 No competing measure that can provide as comprehensive a measure of a firm’s standi ng. Given these assumptions, shareholders’ wealth maximization is consistent with the best interests of stakeholders and society in the long run. 没有竞争措施,能提供由于全面的一个措施的一个公司的站。给这些臆说,股东'财富最大化一贯不比任何人差项目干系人项目利益相关者的利益,社会从长远说来。 In reality, managers may ignore the interests of shareholders, and choose instead to make investment and financing decisions that benefit themselves. 在现实中,经理可能忽视股东的利益,而是选择利于自身的投资和融资决策。 Financial statements are probably the important source of information from which these various stakeholders(other than management) can assess a firm’s financial health. 财务报表可能是最重要的信息来源,除管理者以外的各种利益相关者可以利用这些报表来评估一个公司的财务状况。 The stockholders’ equity section lists preferred stock, common stock and capital surplus and accumulated retained earnings. 股东权益列示有优先股,普通股,资本盈余和累积留存收益。 The assets, which are the “things” the company owns, are listed in the order of decreasing liquidity, or length of time it typically takes to convert them to cash at fair market values, beginning with the firm’s current assets. 资产,也就是公司拥有的东西,是按照流动性递减的顺序或将它们转换为公允市场价值所需要的时间来排列的,通常从流动资产开始。The market value of a firm’s equity is equal to the number of shares of common stock outstanding times the price per share, while the amoun t reported on the firm’s balance sheet is basically the cumulative amount the firm raised when issuing common stock and any reinvested net income(retained earnings). 公司权益的市场价值等于其发行在外的普通股份数乘以每股价格,而资产负债表上的总额则主要是公司在发行普通股以及分配任何再投资净收益(留存收益)时累积的数额。 When compared to accelerated methods, straight-line depreciation has lower depreciation expense in the early years of asset life, which tends to a higher tax expense but higher net income. 与加速折旧法相比,直线折旧法在资产使用年限的早期折旧费用较低,这也会趋向于较高的税金费用和较高的净收入。 The statement of cash flows consists of three sections:(1)operating cash flows,(2)investing cash flows, and(3)financing cash flows. Activities in each area that bring in cash represent sources of cash while activities that involve spending cash are uses of cash. 该声明现金流量表包含三个部分:(1)经营现金流,(2)投资的现金流,(3)融资现金流。在每个地区活动带来现金来源的现金而代表活动涉及到花钱是使用现金 Financing activities include new debt issuances, debt repayments or retirements, stock sales and repurchases, and cash dividend payments. 筹资活动,包括发行新债券,偿还债务,股票销售和回购,以及现金股利支付。 Not surprisingly, Enron’s executives had realized some $750 million in salaries, bonuses and profits from stock options in the 12 months before the company went bankrupt. 毫不奇怪, 公司破产前的十二个月里,安然的高管们实现了7.5亿美金的工资、奖金和股票期权利润。First, financial ratios are not standardized. A perusal of the many financial textbooks and other sources that are available will often show differences in how to calculate some ratios. 首先,财务比率不规范。一个参考的许多金融教科书及来源,可将经常表现出差异如何计算一些率。 Liquidity ratios indicate a firm’s ability to pay its obligations in the short run. 流动性比率表明公司的支付能力在短期内它的义务。 Excessively high current ratios, however, may indicate a firm may have too much of its long-term investor-supplied capital invested in short-term low-earning current assets. 当前的比率过高,然而,可能表明,一个公司可能有太多的长期 investor-supplied资本投资于短期low-earning流动资产 In an inflationary environment, firms that use last-in, first-out(LIFO)inventory valuation will likely have lower current ratios than firms that use first-in, first-out(FIFO). 在一个通货膨胀的环境下,企业选择使用后进先出法对存货计价的公 司比采用先进先出法的公司有一个低的流动比率。 The cash ratio is too conservative to accurately reflect a firm’s liquidity position because it assumes that firms can fund their current liabilities with only cash and marketable securities. 流动比率太稳健不能正确反映一个公司的流动性状况,因为在这一比率假定公司仅仅用现金和有价证券就可以偿还流动负债。 Debt management ratios characterize a firm in terms of the relative mix of debt and equity financing and provide measures of the long-term debt paying ability of the firm. 描述一个公司债务管理比率从相对的混合的债务和股权融资的措施, 提供长期偿债能力的公司。 Total capital includes all non-current liabilities plus equity, and thus excludes short-term debt. 资本总额包括所有非流动负债加上股本,从而排除短期贷款。 Net profit margins vary widely by the type of industry. 有着很大的不同,其净利润为典型的产业。 Note that earnings before interest and taxes, rather than net income, Is used in the numerator because interest is paid with pre-tax dollars, and the firm’s ability to pay current interest is not affected by taxes. 注意,分子中用的是息税前利润而不是净收入,这是因为利息是税前支付的,公司支付现金利息的能力不受税收的影响。 Managers should analyze the tradeoff between any increased sales from a more lenient credit policy and the associated costs of longer collection periods and more uncollected receivables to determine whether changing the firm’s credit sales policy could increase shareholder’s we alth. 管理者应该分析权衡增加的销售从一个更为宽松的信贷政策和相关费用较长的周期和更多的应收账款收集来决定是否改变公司的信用销售的政策可能会增加股东的财富。 If the receivables collection period exceeds a firm’s credit terms this may indicate that a firm is ineffective in collecting its credit sales or is granting credit to marginal customers. 如果应收账款采集时间超过公司的信用条款这也许说明了企业信用销售收集它无效或给予客户信用边缘。 A low, declining ratio may suggest the firm has continued to build up inventory in the face of weakening demand or may be carrying and reporting outdated or obsolete inventory that could only be sold at reduced prices, if at all. 一个低税率、下降率可能显示这个公司已经持续不断地加强库存面对需求不断减弱或可能携带和报告过期或过时的库存,只能减价出售。Thus, the operating profit margin, which indicates the operating profit generated per dollar of net sales, measures t he firm’s operating profitability before financing costs. 因此,经营利润,预示着美元营业利润产生的净销售额,公司的经营利润措施在融资成本。 If the firm’s fixed assets are old and have been depreciated to a low book value, and the assets have not lost their productive ability, the low figure in the denominator will inflate ROA. 如果公司固定资产比较旧,分母的减少会是ROA折旧到低的账面价值,但是资产并没有失去生产能力。 Return on common equity(ROCE) focuses on just the return to common shareholders and is computed by removing the dividends to preferred shareholders from net income and dividing by the capital provided by common shareholders. 普通股权益报酬率仅仅关注普通股股东的报酬率,用净收入扣除优先股股利除以普通股股东提供的资本计算得到。 Dividend yield represents parts of a stock’s total return; another part of a st ock’s total return is price appreciation. 代表部分股息率的股票总回报;另一部分是一个股票的总回报价格上涨。 In fact, of all the concepts used in finance, none is more important than the time value of money, also called discounted cash flow(DCF) analysis. 事实上,财务上所有的概念中,货币时间价值是最重要的,也称作是折现调整现金流量折价分析。

企业资产负债表_利润表中英文对照大全

资产负债表Balance Sheet 项目ITEM 货币资金Cash 短期投资Short term investments 应收票据Notes receivable 应收股利Dividend receivable 应收利息Interest receivable 应收帐款Accounts receivable 其他应收款Other receivables 预付帐款Accounts prepaid 期货保证金Future guarantee 应收补贴款Allowance receivable 应收出口退税Export drawback receivable 存货Inventories 其中:原材料Including:Raw materials 产成品(库存商品) Finished goods 待摊费用Prepaid and deferred expenses 待处理流动资产净损失Unsettled G/L on current assets 一年内到期的长期债权投资Long-term debenture investment falling due in a yaear 其他流动资产Other current assets 流动资产合计Total current assets 长期投资:Long-term investment: 其中:长期股权投资Including long term equity investment 长期债权投资Long term securities investment *合并价差Incorporating price difference 长期投资合计Total long-term investment 固定资产原价Fixed assets-cost 减:累计折旧Less:Accumulated Dpreciation 固定资产净值Fixed assets-net value 减:固定资产减值准备Less:Impairment of fixed assets 固定资产净额Net value of fixed assets 固定资产清理Disposal of fixed assets 工程物资Project material 在建工程Construction in Progress 待处理固定资产净损失Unsettled G/L on fixed assets 固定资产合计Total tangible assets 无形资产Intangible assets 其中:土地使用权Including and use rights 递延资产(长期待摊费用)Deferred assets 其中:固定资产修理Including:Fixed assets repair 固定资产改良支出Improvement expenditure of fixed assets 其他长期资产Other long term assets 其中:特准储备物资Among it:Specially approved reserving materials 无形及其他资产合计Total intangible assets and other assets

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Unit1 Americans believe no one stands still. If you are not moving ahead, you are falling behind. This attitude results in a nation of people committed to researching, experimenting and exploring. Time is one of the two elements that Americans save carefully, the other being labor. "We are slaves to nothing but the clock,” it has been said. Time is treated as if it were something almost real. We budget it, save it, waste it, steal it, kill it, cut it, account for it; we also charge for it. It is a precious resource. Many people have a rather acute sense of the shortness of each lifetime. Once the sands have run out of a person’s hourglass, they cannot be replaced. We want every minute to count. A foreigner’s first impression of the U.S. is li kely to be that everyone is in a rush -- often under pressure. City people always appear to be hurrying to get where they are going, restlessly seeking attention in a store, or elbowing others as they try to complete their shopping. Racing through daytime meals is part of the pace

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