Theoretical Nanophysics 2023/2

How many real variables are needed to parametrize 4x4 unitary matrices?

• 15

• 16

• 31

• 32

• anti-unitary

• symmetric

• orthogonal

• real

• They repel each other.

• They are skewed toward 0.

• Neither.

• Both.

• 160 pA

• 16 pA

• 1.6 pA

• 160 fA

How many parameters characterize the Poisson distribution?

• 0

• 1

• 2

• 3

Which quantity describes the granularity of charge most directly?

• signal-to-noise ratio

• cumulant generating function

• Fano factor

• tunneling rate

A Fano factor greater than 1 indicates ...

• electron bunching

• electron antibunching

• an effective carrier charge that is less than e

• that our device is a simple tunnel junction

What is the noise in the signal-to-noise ratio in current-based charge sensing?

• mean of the accumulation pdf P(N,t)

• median of the accumulation pdf P(N,t)

• standard deviation of the accumulation pdf P(N,t)

• variance of the accumulation pdf P(N,t)

In current-based charge sensing, how does the signal-to-noise ratio change with increasing measurement time?

• it does not change