Quantum Information with Solid-State Devices VO 141.246 Dr. - PowerPoint PPT Presentation

Quantum Information with Solid-State Devices VO 141.246 Dr. Johannes Majer Lecture 7

Exam • I assign a paper related to the class • fix a date • you present the paper/we discuss, questions with special focus on what we learned during the lecture

tunnel junction

Shadow 1. ele c tron b e a m w riting 2. d e v elop m e nt e - e - e - e - e - e - Evaporation PMM A PMM A PMM A PMM A / M A A Substra t e 4. o xid a tion 3. first alu minu m e v a pora tion Al Al O 2 O 2 5. s e c ond alu minu m e v a pora tion 6. lift-off Al Al

RF SET LC tank circuit, impedance transformer

! + )*!" ! "#& "#' ,0 ! % ! ! ! 1-%*.*%2 3 -4/ "#( ?@A:34*B:6C<*>@D76;4*0>1 "#% " ,!-%*.*"/ ! "#% ! "#( ,0 ! ! ! ! % 1-%*.* ! %2 3 -4/ ! "#' ! "#& ! ! ! ! ! "#$ " "#$ ! !#$ % 5674*896:;4*< ; =0> ; *8 ; 1-4

Superconducting SET ! ( &'!" % !#$ )- ! *+ , /!*%.- " % ! " ! .'0'1 ! *2/%+ , *23 ! ) ! *+ , - " % ! " ! ./!*%'0'1 ! *23 >?@9,2'A95B;'=?C65:2'-=. "#$ C 2 C 2 e " C 1 C 1 e ! "#$ ) ! *+ , - " ! ! " % ./!*%'0' ! 1 ! *23 0 1 1 0 ! ! )- ! *+ , /!*%.- " ! ! " % .'0' ! 1 ! *2 ! %+ , *23 ! !#$ ! % ! ! ! "#$ " "#$ ! !#$ % 4562'7859:2'; : <-= : '7 : .*2

Josephson quasi particle cycle −3 x 10 2 1.5 [− κ 1 (3/2+ ∆ /E c )+1 | 2 ∆ /e + 3E c /e] [ κ 2 (3/2+ ∆ /E c ) − 1 | 2 ∆ /e + 3E c /e] 1 [− κ 1 (1/2+ ∆ /E c )+1 | 2 ∆ /e + E c /e] 0.5 [ κ 2 (1/2+ ∆ /E c )−1| 2 ∆ /e + E c /e] 0 C 2 C 2 C 2 2e [ κ 2 (1/2+ ∆ /E c ) − 1 | − 2 ∆ /e − E c /e] [− κ 1 (1/2+ ∆ /E c )+1 | −2 ∆ /e − E c /e] −0.5 C 1 C 1 C 1 e e −1 [ κ 2 (3/2+ ∆ /E c ) − 1 | − 2 ∆ /e − 3E c /e] [ − κ 1 (3/2+ ∆ /E c )+1 | − 2 ∆ /e − 3E c /e] 0 2 2 1 1 0 −1.5 −2 −1 −0.5 0 0.5 1 1.5 2 Gate Charge n g =(V g C g )/e

Superconducting RF-SET