Kondo effect in a Quantum Dot and Fano resonance in an Aharonov-Bohm Interferometer - PowerPoint PPT Presentation

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Kondo effect in a Quantum Dot and Fano resonance in an Aharonov-Bohm Interferometer

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Title: Kondo effect in a Quantum Dot and Fano resonance in an Aharonov-Bohm Interferometer Author: A Last modified by: Arkady Satanin Created Date – PowerPoint PPT presentation

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Title: Kondo effect in a Quantum Dot and Fano resonance in an Aharonov-Bohm Interferometer


1
????????? ?????? ? ????????? ?????????
?.?.??????? ???? ??. ?.?.????????????
(???????????? ?????????????????
???????????), ??????????? ?????? ????????????
?????, ?.????????, ??????
2
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  • ????????? ????? ?????-?????
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3
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4
???????? ??????
????? ?????????? ?????? - ???????? ?????? ????
?????? ? ????? (1914)
?????? ????????????? ??????? ???????? CO
5
????????? ????? (quntronium)
E1
hn01
E0
5
????????????
Devoret Martinis, QIP, 3, 351-380(2004)
6
????????? ????? ? ????? ??????????
D. Vion, A. Aassime, A. Cottet, P. Joyez, H.
Pothier, C. Urbina, D. Esteve, M.H. Devoret,
Science 296, 886 (2002)
Ib
current pulse switch or no switch
U
circulating current in squid loop depends
on charge state
7
?????????????? ?????????? ?????? ?
??????????????? ????????????
??? ????? ??????????????? ???????? ?????? ????
??????, ?????? - ?????????????? ???????.
???????? ?? ???????? ?????? ??? ????????? ??????
????????? ??????????? ???????????, ?????????? ??
, ???????
???? , ?? ????? ???????? ???
??????????? ????????? ?????????? ??? ????
????????? ???????? ???????, ? ???????????????
????????????? ????? ???
8
????????? ????? (3JJ qubit)
J.E. Mooij, et.al, Science 285, 1036 (1999). Yu.
Makhlin, G. Schon, and A. Shnirman, Rev.
Mod.Phys. 73, 357 (2001)
9
????????????
????????????
??????? ? ???????????? ?????? ? 2d
??????????????? ??????????
10
????????????? ??????
J.E. Mooij, et.al, Science 285, 1036 (1999).
??????????????? ??? ? ???????????????
????????????, ???????? ????? ?????? ???????
???????? ???????? ?????? ? ????? ???????????
??????????? ?????????? ?????????
11
????????? ??????
????????????? ???? W.D. Oliver, et.al., Quant inf
Process 8, 261 (2009)
???? ??????? ?????? ? ?????? ???
?????? ????????? ????? ???? ????????, ????????????
? ???? ? ?????? ??- ? ?????? ??????? ???????
12
???? ?????????? ? ????????????? ???????
??? w w0 (????????? ??????????? RWA)
13
????????? ??????
14
(No Transcript)
15
(No Transcript)
16
????????? ??????????
I.Siddiqi et al., Berkeley
?????????? ? ???????
17
??? ? ???????
A. I. Gelman, A.M. Satanin, JETP lett. 91,
535-540 (2010).
M. Sillanpaa, et al., Phys. Rev.Lett. 96, 187002
(2006). W. D. Oliver, et al., Science 310, 1653
(2005). D. M. Berns, et al., Phys. Rev. Lett. 97,
150502 (2006). D. M. Berns, et al., Nature 455,
51 (2008).
???????????? ????????? ? ?????????? ???????????
18
  • ?????? ?????-?????

200 years ago, Comte de Buffon ????? Pi
????????? ???? ????? ?????-????? ???
?????????? ???????? ?????? ? ??????????????
????????????? ?????????? ??????? ? ?????????
  1. ?????????? ??????????? ? ??????????????
    ??????????
  2. ??????? ????? ???????? ??????? (?????? ?????????
    ?????????, ????????? ??????)
  3. ??????? ???????????? ?????????
  4. ?????????????? ???????? (?????????????? ??????,
    ???????????? ????????)
  5. ????? ????-???? (?????????????????
    ????-????????? ??? ????)
  6. ????????? ????? ?????-?????

18
19
????-????????? NVIDIA ????? ???? ?????
  • ????-????????? NVIDIA ???? ????? ? ????????
    ??????? ??????? ????? ???????, ??? ??????????
    ????? ???? ?????? ?? ???????? ? ?????. ?? ???
    ??????, ??????????? ????????????????? ???????
    ?????????? ??? ????? ????????????, ? ???????
    ?????????? ????? ???? ??? ?? ???? ??????????.
    ???????? ???????? ????? ???????
    ????????????????? ???????????? ??????? ???? CUDA.

NVIDIA ADM
CUDA (Compute Unified Device Architecture) ? CTM
(Close To Metal ??? AMD Stream Computing),
20
(No Transcript)
21
????????? ?????? ???????????????? ????????????
??????? ?????????? - ?????????????? ??????? ?
??????????? (??????? ??????? ????????) ? ???????
?????? ???????? ???????
??????? ?????????
??????????????
???????-?????????
???????? ????????? ????????????????
???????? ????????? ???????
C.W.Gardiner, P.Zoller, Quantum noise, Springer,
2000 ?????? ?. ?., ??????? ?. ?., ?????????
??????, ?., ?????????, 2003
22
??????? ?????????
??????? ????????? ??? ????????? ?????????
?????????, NxN ????
? ????????????? ??????????????
23
????? ????????? ??????????
???c??????
??????????
? ??????? ???????? ????????
24
??????? ? ?????????????? ?????????? ?????????
??????
wq 6. A0.1 w6. ?f0.01 ?e0.012
(GHz)
25
????????? ?????????? ?????????? ???
?????????????? ????
Bouwmeester, D. et.al. Neoclassical radiation
theory as an integral part of the Monte Carlo
wave-function method / Phys. Rev. A. 1994. V. 49
P. 4170.
???? ??? ??????????
26
???????? ??????
  • ??????????? ?? ????? ???????? ??????
  • ?????????? ????????? ????? fdc
  • ?????????? ?? ???????????????? ????? fac

???????????? ?????????? ??? ???????? ????????
???? ????? ??????????????? ??????? (?? ??????
??????????) ???????? ??????????? ? ???????
?????????? ???????? ???????????. ? ?????? 3JJ
?????? ????? ????????? ????????? ??????? ?????
fdc ? fac
W.D. Oliver, S.O. Valenzuela Quant Inf Process 8,
261 (2009)
27
???????? ??????-??????
??????? ??????????? ??? ???????????? ???????????
??????? ??? ???????????? ??????
L. D. Landau, Phys. Z. Sowjetunion 2, 46
(1932) C. Zener. Proc. R. Soc. A137, 696 (1932)
??????????? ????????
? ??????? ?????????? ???????? ???????
?????? ???????????? ?????????? ??? ??????
??????????? ???????. ????????????? ???????????
???????? ? ????????????????? ???????
W. D. Oliver, Y. Yu, J. C. Lee, et.al., Science
310, 1653 (2005)
28
????????? ??????????
????? ??????????? ? ????????? 0gt
??????????? ???????????? ? ??????????? ???????????
RabiLZ
???
? ??????????? ? ???????? ??????????? ????????.
????? ????? ???????????? ?? ??????? ???????. ???
???????? ????????????? ?? ???????? ?/2 (?????
????????????? ???????)
29
????????????? ?????????
????? ??????????? ? ????????? 0gt
RabiLZ
???? ??? ??????? ??????????? ???? ??????? ????
???????????
???
? ??????????? ? ???????? ??????????? ????????.
????? ????? ???????????? ?? ??????? ???????. ???
???????? ????????????? ?? ???????? ?/2 (?????
????????????? ???????)
30
?????????? ? ??????????? ?????????????
N3000 realizations
31
?????????
????? ??????????? ??????? ??????????? ???
?????????? ???????? ???????. ??????? ?????????? ?
????????????? (D.Berns et.al.,PRL 97, 150502
(2006))
???????? ?????????? ???? ??? ?????? ?????????
????????????? ??? ?????????? ????????????
???????? ???????????? ????????? ??????? ? ???????
?????????
32
????????? ?????????? ??????
??????????? ????????????????? ??????? ?? ?????
?????????? ?????? (????? ????????? ?
????????????)
In good correspondence with N3000 in previous
consideration and experiments. In experiments
usually N3000-10000.
A. I. Gelman, A.M. Satanin, JETP lett. 91,
535-540 (2010).
33
??????????? ?? ????? ??????????
??????????? ????????????????? ??????? ?? ?????
?????????? ?????? (????? ????????? ?
????????????). ?????? ??? ?????????? ?? ???????.
In good correspondence with N3000 in previous
consideration and experiments. In experiments
usually N3000-10000.
A. I. Gelman, A.M. Satanin, JETP lett. 91,
535-540 (2010).
34
?????????????? ??????????
  • A. I. Gelman and A. M. Satanin, ???, 52,
    2094-2099(2010).

???????????? ???????? ?????? ?? ??????? ???
????????? ?????????? (?????? ????????),
(?????), (?????? ???????). ????? ??????,
??????????????? ?????????? ?????????? ? ???????.
????????? , , ,
???????????? ???????? ?????? ?? ???????
(?????????? ?? 3000 ??????????).
35
???????????? ?????????? ???????? ???????
  • Cluster ???? 128 ???????????, MPI ?????????,
    ?????????? P(epsilon,A) ????????? ? 100 ???
  • ????????? ?? smp ??????, 48 ????, ????????? 40
    ??? (Open MP)

36
?????????????? ??????????????? ??????????
I.Siddiqi et al., Phys. Rev. Lett. 93, 207002
(2004) I. Siddiqi, et al. Phys. Rev. B 73,
054510 (2006).
??????? ??????? ??????????? ??????????? ??
??????? ????.
37
(No Transcript)
38
Dispersive measurements
39
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- ????????? ????
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40
??????
  • ???????????? ?? ????????? ???????????
  • ????????? ?????? ????? ????????? ? ?????????
    ????????? ????????
  • ????????? ?????????? ????????????? ???????
    ???????????? ???????????
  • ? ????????? ????????????? ????? ??????? ?
    ???????? ????????? ??????
  • ?????????? ????????? ????? ?????-????? ???????
    ??? ????????????? ?????????????? ??????
  • NxN -gt N.
  • ????????? ????? ?????-????? ???????? ?????? ???
    ?????????? ?? ???????????? ??????????????
    ??????????
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