# Feedback control of quantum transport.

@article{Brandes2010FeedbackCO, title={Feedback control of quantum transport.}, author={T. Brandes}, journal={Physical review letters}, year={2010}, volume={105 6}, pages={ 060602 } }

The current through nanostructures like quantum dots can be stabilized by a classical feedback loop that continuously adjusts system parameters as a function of the number of tunnelled particles n. At large times, the feedback loop freezes the fluctuations of n, which leads to highly accurate, continuous single particle transfers. For the simplest case of feedback acting simultaneously on all system parameters, we show how to reconstruct the original full counting statistics from the frozen… Expand

#### 38 Citations

Feedback stabilization of pure states in quantum transport

- Physics
- 2011

We propose a feedback control scheme for generating and stabilizing pure states of transport devices, such as charge qubits, under non-equilibrium conditions. The purification of the device state is… Expand

Feedback control in quantum transport

- Physics
- 2015

Quantum transport is the study of the motion of electrons through nano-scale structures small enough that quantum effects are important. In this contribution I review recent theoretical proposals to… Expand

Non-Markovian coherent feedback control of quantum dot systems

- Physics
- 2015

This paper presents a non-Markovian coherent feedback scheme to control single quantum dot systems. The feedback loop is closed via a quantum tunneling junction between the natural source and drain… Expand

Delayed feedback control in quantum transport

- Physics, Medicine
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2013

How to include a delay between detection and control operation in the master equation theory of feedback-controlled quantum transport and how this formalism can be used to model finite detector bandwidth are described. Expand

A feedback scheme for control of single electron transport

- Physics
- 2017

We revise a feedback control scheme for single electron transport. It is based on the idea of an adaptive modulation of the system parameters (such as tunnel rates) during the observation of the full… Expand

Random backaction in tunneling of single electrons through nanostructures

- Physics
- 2011

We derive an $n$-resolved Master equation for quantum transport that includes a dependence on the number $n$ of tunneled electrons in system parameters such as tunnel rates and energy levels. We… Expand

Modeling and Control of Quantum Measurement-Induced Backaction in Double Quantum Dots

- Physics, Mathematics
- IEEE Transactions on Control Systems Technology
- 2019

A double quantum dot monitored by a nearby quantum point contact is considered, where the measurement-induced backaction plays an important role, and a simple feedback-control law is proposed to realize and stabilize the tunneling current. Expand

Current rectification in a double quantum dot through fermionic reservoir engineering

- Physics
- 2017

Reservoir engineering is a powerful tool for the robust generation of quantum states or transport properties. Using both a weak-coupling quantum master equation and the exact solution, we show that… Expand

Electronic Maxwell demon in the coherent strong-coupling regime

- Physics
- 2018

We consider a feedback control loop rectifying particle transport through a single quantum dot that is coupled to two electronic leads. While monitoring the occupation of the dot, we apply… Expand

Strong suppression of shot noise in a feedback-controlled single-electron transistor.

- Physics, Medicine
- Nature nanotechnology
- 2017

The suppression of shot noise in a single-electron transistor is demonstrated using an exclusively electronic closed-loop feedback to monitor and adjust the counting statistics and with increasing feedback response the authors observe a stronger suppression and faster freezing of charge current fluctuations. Expand

#### References

SHOWING 1-10 OF 31 REFERENCES

Counting statistics of single electron transport in a quantum dot.

- Physics
- 2006

We have measured the full counting statistics of current fluctuations in a semiconductor quantum dot (QD) by real-time detection of single electron tunneling with a quantum point contact. This method… Expand

Shot noise in coupled dots and the “fractional charges”

- Physics
- 2002

We consider the problem of shot noise in resonant tunneling through double quantum dots in the case of interacting particles. Using a many-body quantum mechanical description we evaluate the… Expand

Signatures of critical full counting statistics in a quantum-dot chain

- Physics
- 2010

We consider current shot noise and the full counting statistics in a chain of quantum dots which exhibits a continuous nonequilibrium phase transition as a function of the tunnel couplings of the… Expand

Microscopic derivation of rate equations for quantum transport.

- Physics, Medicine
- Physical review. B, Condensed matter
- 1996

It is shown that under certain conditions the resonant transport in mesoscopic systems can be described by modified (quantum) rate equations, which resemble the optical Bloch equations with some… Expand

Quantum noise reduction by photodetection with feedback

- Physics
- 1991

A simple model is proposed to account for the generation of sub-shot noise light by feedback of the photocurrent. The model is based on a variable beam splitter controlled by the photocurrent from a… Expand

Full counting statistics in strongly interacting systems: non-Markovian effects.

- Physics, Medicine
- Physical review letters
- 2006

The approach for transport through a single-level quantum dot and a metallic single-electron transistor to second order in the tunnel coupling is illustrated and under which circumstances non-Markovian effects appear in the transport properties. Expand

Observation of sub-poissonian photoelectron statistics in a negative feedback semiconductor laser

- Physics
- 1986

Abstract The photo-current fluctuation spectra and the photoelectron statistics of a negative feedback stabilized semiconductor laser are measured. The photo-current spectral density is reduced by 7… Expand

Quantum Measurement and Control

- Physics
- 2010

In the last two decades there has been an enormous progress in the experimental investigation of single quantum systems. This progress covers fields such as quantum optics, quantum computation,… Expand

Noise measurement of a quantized charge pump

- Physics
- 2008

We study the noise properties of a gate controlled single electron pump at a driving frequency fp=400MHz. We observe a significant reduction of the noise power on the current plateaus. This is a… Expand

Gigahertz quantized charge pumping

- Physics
- 2007

The high-speed, high-accuracy transport of single electrons in nanoscale devices is predicted to underpin future electronics. A key and topical application is the development of a fundamental… Expand