159 research outputs found
Generalized constraints on quantum amplification
We derive quantum constraints on the minimal amount of noise added in linear
amplification involving input or output signals whose component operators do
not necessarily have c-number commutators, as is the case for fermion currents.
This is a generalization of constraints derived for the amplification of
bosonic fields whose components posses c-number commutators.Comment: 4 pages, 1 figure, submitted to Physical Review Letter
Applications of nonequilibrium Kubo formula to the detection of quantum noise
The Kubo fluctuation-dissipation theorem relates the current fluctuations of
a system in an equilibrium state with the linear AC-conductance. This theorem
holds also out of equilibrium provided that the system is in a stationary state
and that the linear conductance is replaced by the (dynamic) conductance with
respect to the non equilibrium state. We provide a simple proof for that
statement and then apply it in two cases. We first show that in an excess noise
measurement at zero temperature, in which the impedance matching is maintained
while driving a mesoscopic sample out of equilibrium, it is the nonsymmetrized
noise power spectrum which is measured, even if the bare measurement, i.e.
without extracting the excess part of the noise, obtains the symmetrized noise.
As a second application we derive a commutation relation for the two components
of fermionic or bosonic currents which holds in every stationary state and
which is a generalization of the one valid only for bosonic currents. As is
usually the case, such a commutation relation can be used e.g. to derive
Heisenberg uncertainty relationships among these current components.Comment: 10 pages, Invited talk to be given by Y. I. at the SPIE Noise
Conference, Grand Canary, June 2004. Added reference and 2 footnotes,
corrected typo in Eq.
Shot-noise in transport and beam experiments
Consider two Fermi gases with the same {\it average} currents: a transport
gas, as in solid-state experiments where the chemical potentials of terminal 1
is and of terminal 2 and 3 is , and a beam, i.e., electrons
entering only from terminal 1 having energies between and . By
expressing the current noise as a sum over single-particle transitions we show
that the temporal current fluctuations are very different: The beam is noisier
due to allowed single-particle transitions into empty states below .
Surprisingly, the correlations between terminals 2 and 3 are the same.Comment: 4 pages, 2 figure
AC-Conductance through an Interacting Quantum Dot
We investigate the linear ac-conductance for tunneling through an arbitrary
interacting quantum dot in the presence of a finite dc-bias. In analogy to the
well-known Meir-Wingreen formula for the dc case, we are able to derive a
general formula for the ac-conductance. It can be expressed entirely in terms
of local correlations on the quantum dot, in the form of a Keldysh block
diagram with four external legs. We illustrate the use of this formula as a
starting point for diagrammatic calculations by considering the ac-conductance
of the noninteracting resonant level model and deriving the result for the
lowest order of electron-phonon coupling. We show how known results are
recovered in the appropriate limits.Comment: 4+ pages, 4 figure
Emission and absorption noise in the fractional quantum Hall effect
We compute the high-frequency emission and absorption noise in a fractional
quantum Hall effect (FQHE) sample at arbitrary temperature. We model the edges
of the FQHE as chiral Luttinger liquids (LL) and we use the non-equilibrium
perturbative Keldysh formalism. We find that the non-symmetrized high frequency
noise contains important signatures of the electron-electron interactions that
can be used to test the Luttinger liquid physics, not only in FQHE edge states,
but possibly also in other one-dimensional systems such as carbon nanotubes. In
particular we find that the emission and absorption components of the excess
noise (defined as the difference between the noise at finite voltage and at
zero voltage) are different in an interacting system, as opposed to the
non-interacting case when they are identical. We study the resonance features
which appear in the noise at the Josephson frequency (proportional to the
applied voltage), and we also analyze the effect of the distance between the
measurement point and the backscattering site. Most of our analysis is
performed in the weak backscattering limit, but we also compute and discuss
briefly the high-frequency noise in the tunneling regime.Comment: 26 pages, 11 figure
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