Coherent states 4

Every-day electromagnetic radiation, such as radio and TV waves, is also an example of near coherent states (macroscopic quantum coherence). That should “give one pause” regarding the conventional demarcation between quantum and classical.

— Wikipedia on Coherent states

2011.10.09 Sunday ACHK

接收未來錢

Future present 2

to earn = to receive money from the future

賺錢 = 接收來自未來的金錢

— Me@2010.11.28

— Me@2011.10.08

2011.10.08 Saturday (c) All rights reserved by ACHK

忙碌做虛事 1.1

這段改編自 2010 年 5 月 18 日的對話。

照亮他人,毋須燃燒自己。

— Me@2007.10.17

(HYC: 你會不會重回中學教書?)

不會。在中學教書,並不如我以前的想像,可以有效率地幫助到別人。

在中學教書的近乎唯一好處是,對於初學者來說,有一個難得的機會,高度集中地磨練表達技巧。試想想,有什麼工作崗位,需要一天做幾場充滿技術細節的演講呢?

做了中學教師三年,對我來說,就好像讀了一個「溝通傳意碩士」一樣。但是,我已經過了那個階段,我現在的主要目標,除了研究物理外,是傳授一些「非一般」但「極有用」的知識。

— Me@2011.10.08

2011.10.08 Saturday (c) All rights reserved by ACHK

Coherent states in quantum optics

Coherent states 3

In classical optics light is thought of as electromagnetic waves radiating from a source. Often, coherent laser light is thought of as light that is emitted by many such sources that are in phase. Actually, the picture of one photon being in-phase with another is not valid in quantum theory.

Laser radiation is produced in a resonant cavity where the resonant frequency of the cavity is the same as the frequency associated with the atomic transitions providing energy flow into the field. As energy in the resonant mode builds up, the probability for stimulated emission, in that mode only, increases. That is a positive feedback loop in which the amplitude in the resonant mode increases exponentially until some non-linear effects limit it.

As a counter-example, a light bulb radiates light into a continuum of modes, and there is nothing that selects any one mode over the other. The emission process is highly random in space and time (see thermal light). In a laser, however, light is emitted into a resonant mode, and that mode is highly coherent. Thus, laser light is idealized as a coherent state.

— Wikipedia on Coherent states

2011.10.07 Friday ACHK

Dilbert test 5

Futurama‘s production history has not always been easy. From difficult upbringings, network difficulties and cancellation to revivals, cost cuts and salary negotiation collapses.

Yet, Futurama has produced some of the better episodes and gags in the history of animated television.

When Matt Groening and David X. Cohen originally pitched Futurama to Fox, they were not met with initial support. In fact, the show had scared them somewhat with its setting and unusual characters, so in fact they told them to bring them a more down to Earth episode, which became “I, Roommate”, unfortunately their reaction to it was plainly “worst. episode. ever“, which made its runners conclude that they’d just do the show they wanted to do, rather than appease 20th Century Fox.

But Futurama did not have it easy on the Fox Network, where they treated it carelessly by moving its airings on and off, to little avail for fans to find them. In addition, they ended up airing them out of order. When ratings suffered as a result, they did not want to order a fifth production season, and said they should consider that season 4 might be their last season they’ll do, so better make their series finale something special.

— The Infosphere, the Futurama Wiki

2011.10.05 Wednesday ACHK

如夢初醒 3.2.2

讀書與睡眠 3.2.2

這段改編自 2010 年 3 月 6 日的對話。

要證明你的生活沒有意義,方法很簡單:

你喜歡「再睡」多過「起來」。

— 改編自叔本華

這類方法的重點是,只要透過建立適當的賞罰規則,幾乎什麼缺點也可以刪除,什麼優點都可以外加。例如,如果每次準時起床都會有一百萬獎金的話,我保證你天天也會準時起床。

宏觀一點看,早上不願起來的終極核心原因是,你的現實比你的夢境沉悶。只要你改變這個情況,令到每天的生活都十分精采,你就會有強大的做人意志,而不會再沉迷睡眠。

— Me@2011.10.05

2011.10.05 Wednesday (c) All rights reserved by ACHK

Quantum machine

Quantum coherence, 4

O’Connell and his colleagues coupled together a mechanical resonator, similar to a tiny springboard, and a qubit, a device that can be in a superposition of two quantum states at the same time. They were able to make the resonator vibrate a small amount and a large amount simultaneously — an effect which would be impossible in classical physics. The mechanical resonator was just large enough to see with the naked eye — about as long as the width of a human hair.

— Wikipedia on Quantum machine

2011.10.04 Tuesday ACHK

碩士

這段改編自 2010 年 5 月 18 日的對話。

(HYC: 你大學時修什麼科目?)

物理。

(CYM: 那你為何會懂 probability(機會率)?)

中學讀 Applied Maths(應用數學)時,有這個課題。另外,大學讀物理時,有一門分支需要用到較深的 probability。

(HYC: 你是物理博士?)

不是。我只是碩士。我剛在去年十二月,完成了第二個碩士課程。

(HYC: 那你第一個碩士是什麼?)

工程。

(CYW: 為什麼你要讀兩個碩士?)

「讀得多碩士」並不是好事。需要讀第二個碩士的原因是,第一個碩士讀錯了。正如,「結得婚多」並不是好事。需要結第二次婚的原因是,第一次結婚時,選錯了對象。

— Me@2011.10.03

2011.10.04 Tuesday (c) All rights reserved by ACHK

Quantum coherence, 3

Large-scale (macroscopic) quantum coherence leads to novel phenomena. For instance, the laser, superconductivity, and superfluidity are examples of highly coherent quantum systems, whose effects are evident at the macroscopic scale. These examples of quantum coherence are Bose–Einstein condensates. Here, all the particles that make up the condensate are in-phase; they are thus necessarily all described by a single quantum wavefunction.

On the other hand, the Schrodinger’s cat thought experiment, highlights the fact that quantum coherence is not typically seen at the macroscopic scale but has been observed in the motion of a mechanical resonator (see Quantum machine).

— Wikipedia on Quantum coherence

2011.10.02 Sunday ACHK

讀書與睡眠 3.2.1

這段改編自 2010 年 3 月 6 日的對話。

(安:但是,如何令到自己有足夠的意志力,早上定時起來呢?)

其中一個方法是,每天如果你可以準時起床的話,就獎勵自己半小時,做自己很想做的事情。那樣,你每天起床的動機,就會大很多。

中七高考前的一個月是假期。理論上,那個月是用來準備考試的。但是,凡是假期,我也起碼去到十一時才起床,浪費了早上的大部分時間。我當時想了一個辦法。每天,如果我可以六時準時起來的話,就獎勵自己玩電腦遊戲一小時。之後的半小時,我會用來吃早餐。就我現在的記憶所及,那個計劃百分百成功。在那一個月,每天我也可以準時在早上七時半開始溫習。

如果你十分喜歡閱讀的話,你可以把書本放在鬧鐘旁邊。每天關掉鬧鐘時,你都會望見你想閱讀的那一本書。那樣,你就可以逐漸戒除「回頭再睡」的自然反應。

其實,只要忍耐到一分鐘不回頭再睡,你就可以完全清醒起來。

— Me@2011.10.01

2011.10.02 Sunday (c) All rights reserved by ACHK

Bell’s theorem

Quantum coherence

The quantum description of perfectly coherent paths is called a pure state, in which the two paths are combined in a superposition. The correlation between the two particles exceeds what would be predicted for classical correlation alone (see Bell’s inequalities).

— Wikipedia on Quantum coherence

2011.09.30 Friday ACHK

Lightning a fire

誰終將聲震人間,必長久深自緘默;誰終將點燃閃電,必長久如雲漂泊。

— 尼采

Teaching is not filling a vase, but lighting a fire.

— Michel de Montaigne

Teaching is not filling a vase, but lightning a fire.

— Me@2005

教師任務 點石成金

— Me@2007.08.21

燭燃閃電 點石成金

— Me@2010.11.28

2011.09.30 Friday (c) All rights reserved by ACHK

疫苗筆記

Probability

Always make new mistakes, 6

這段改編自 2010 年 5 月 18 日的對話。

(HYC: Probability(機會率)的題目要麼就是全題對,要麼就是全題錯,令人惶恐非常。)

Probability 的題目,我自己也很驚。我暫時也沒有辦法,保證自己運算正確。那樣,你可以做些什麼,來提高準繩度呢?

你在平日做 probability 題目時,把所有犯過的錯誤,和對應的解答,都一一儲存在「魔法筆記」中。然後,你在每次做練習題目前、考試前一天 和 臨考試前的半小時,都把「魔法筆記」背誦一次。透過這個形式的反覆背誦,你就可以「免疫」:考試時,你不會再犯平日犯過的錯誤。

從這個角度看,平日犯的錯誤越多,考試的分數反而會越高。在平日沒有犯過的錯誤,你在考試就有機會錯;在平日有犯過的錯誤,你在考試就沒有機會錯,因為你已經事先「注射」了「疫苗」。

Probability 的題目最驚嚇的地方是,它們貌似幾乎沒有任何步驟。錯了一題後,想知自己在哪一步的思考有漏洞,對初學者來說,是一個不可能的任務。

「貌似沒有步驟」所衍生的另一個大問題是,在考試途中,你不知如何驗算。

(這兩個問題,我在去年破解了。 — Me@2011.09.29)

— Me@2011.09.29

2011.09.29 Thursday (c) All rights reserved by ACHK

Complementarity

Quantum coherence, 1

Berthold-Georg Englert, Marlan O. Scully & Herbert Walther, Quantum Optical Tests of Complementarity, Nature, Vol 351, pp 111–116 (9 May 1991) and (same authors) The Duality in Matter and Light Scientific American, pg 56–61, (December 1994). Demonstrates that complementarity is enforced, and quantum interference effects destroyed, by decoherence (irreversible object-apparatus correlations), and not, as was previously popularly believed, by Heisenberg’s uncertainty principle itself.

— Wikipedia on Complementarity (physics)

2011.09.28 Wednesday ACHK

缺乏寫作靈感

這段改編自 2010 年 3 月 6 日的對話。

對話比演講或者寫作容易得多,因為對話時,你只需要考慮第一句說什麼,然後根據對方的反應,就自動知道第二句應該說什麼。除了第一句之外,你幾乎毋須作任何的盤算。

只要把自己和別人的對話錄音,然後把那些錄音改編成文章。就可以完全避免了「缺乏寫作靈感」的問題。

— Me@2011.09.27

… if you can’t get started, tell someone what you plan to write about, then write down what you said …

— Writing, Briefly

— Paul Graham

2011.09.27 Tuesday (c) All rights reserved by ACHK

Mach principle

The broad notion is that “mass there influences inertia here”.

— Wikipedia on Mach principle

Mach principle states that the inertial mass of an object is due to (the gravitational influences of) other objects.

In other words, the inertial mass of an object is due to the gravitational mass of itself and the gravitational masses of other objects.

— Me@2011.09.24

2011.09.27 Tuesday (c) All rights reserved by ACHK