Zeno??Zeno??

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???????????????
025m

• Zeno??Zeno??

???????(Phd Student) NCTU. EPhys
?????(Dr.) NCTU. EPhys T.Brandes
(Dr.) UMIST. Phys ??????? ??(Dr.) NCTU. EPhys
2006.4.8N CKU
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Outline
025m
1. ??
a. Zeno??
b. ???????
c. ????????
2. ?????????
a. ??(Hamiltonian)
b. Master Equation
3. ?????
4. ??
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Introduction-1 025m
???????????????,?t??,?????? ????????
?? t ltlt1/r?,???????
???????????????? ???????,???,?????????????? ?????
???????????????????????
???????????????????? ??????????????????????
??????????????
4
Introduction-1 025m
1.Zeno ??(paradox)
????? ?,???????,???
????????? ,???,???? ?????
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Introduction-2 05m
2.?????????
????
A.G Kofman, G.Kurizki Nature V405(2000)
??????,?????(??)????????,????????????,???????????
?????????.
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Introduction-3 1m
????projection,??????
???????? ???????????????????
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Relation between conventional and
dynamical formalisms in the quantum Zeno
effect CREST, Japan Science and Technology
Agency, 4-1-8 Honcho, Kawaguchi, Saitama
332-0012, Japan and Department of Materials
Engineering Science, Osaka University, Toyonaka,
Osaka 560-8531, Japan (Received 5 January 2005
published 25 March 2005) The measurement-modified
decay rate is calculated in two distinct
formalisms , i.e., the conventional formalism and
the dynamical formalism. The relation between
the two formalisms is clarified, by recasting
the decay rates obtained by the two formalisms
into a unified form. It is shown that the
dynamical formalism reproduces the conventional
results only under the condition that the
apparatus detects the decayed states with an
identical response time. Kazuki Koshino
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05m
2.Model and Method-1
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2.Model???-3 2m
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2.Model???-2 1m
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2.Model???-4 05m
????????????,?????????????????,?????????
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2.Model???-5 05m
Master Equation ???
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Rule
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2.Model???-6 1m
???,?????????,????????????
?tgtgt ????,?????????
???,?????,???????????????????????(?????t???)
????????Zeno??,??????????????? ???
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Result and Discussion-4 05m
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Result and Discussion-3 05m
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Result and Discussion-1 1m
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???,???Fujisawa? Tarucha?????????? ???(SET)??Al
GaAs/GaAs????????100nm??? ??????,???(GL,GC,GR)????
?,?????? ???0.1meV??,????????????????,?? ?????(8
0nm)?????????,???????,?? ??40nm???????????15??????
?25???? ????????4meV?1meV(Science Oct. 1998 V282)
Introduction-4 025m
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??,????23mK??????????( )
???? ?????????,?????????????????(??) ,????????????
???(???)?????????? ???????????,??????(????)???????
????????????????????????????? ????
Introduction-5 025m
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4.??
1.5m

• ??????????????????????, ???,??????????????,???????
  ?projection,?????????????????????wide
  band?????,?????(wide-band)???????,????????????proj
  ection??????.
• 2. ???,????????????????????Lorentzian???sincx(????
  )???????,???????,??????????????(?????)
• 3. ??,???????????????????????????????,??????-----?
  ?????????(projection)?,??????(????????????)???????
  .
• 4. ????????????????????????????,???????,?????Loren
  tz????,?????Zeno-like??????,??????????????????????
  ?????????,???????????????????,?????????????,?????
  ?????????
• ??,?????????????????????????????????.