# Overview of project A02

## Charge Carrier Dynamics in Nanostructures

This project aims at the theoretical description of the dynamics of single electrons in nanodevices in the time domain. The focus on single electrons defines the ultimate conceivable resolution for charge carrier dynamics, provides a convenient platform to study fundamental relaxation processes, and may become relevant for single-electron applications. Nanodevices such as quantum dots are well suited for studying charge carrier dynamics in this ultimate limit since they allow one to address individual electrons, to isolate them from the outside world, to manipulate them in a controlled way by gate voltages, and to study interesting correlations due to Coulomb interaction. The time domain of the charge carrier dynamics can be accessed by making use of external stimuli such as gate pulses. An alternative approach is based on analyzing the full counting statistics of individual charge-transfer events since the full counting statistics provides the maximum information of a dynamic quantum system. The theoretical challenge is, then, to distill out of this full counting statistics the relevant information about the charge dynamics to gain insight into relaxation channels, coherent quantum oscillations, or nonequilibrium many-body states evoked by interaction-induced correlations.

Figure: The charge dynamics in a single-level quantum dot tunnel coupled to one or several electron reservoirs and with large charging energy can be modelled by a three-state system.

## Publications

**2022**

Markus Heckschen and Björn Sothmann

**Pair-Amplitude Dynamics in Strongly Coupled Superconductor–Quantum Dot Hybrids**

Phys. Rev. B 105, 045420 (2022)

DOI: 10.1103/PhysRevB.105.045420

Eric Kleinherbers, Philipp Stegmann, Annika Kurzmann, Martin Paul Geller, Axel Lorke and Jürgen König

**Pushing the Limits in Real-Time Measurements of Quantum Dynamics**

Phys. Rev. Lett. 128, 087701 (2022)

DOI: 10.1103/PhysRevLett.128.087701

**2021**

Eric Kleinherbers, Philipp Stegmann and Jürgen König

**Synchronized Coherent Charge Oscillations in Coupled Double Quantum Dots**

Phys. Rev. B 104, 165304 (2021)

DOI: 10.1103/PhysRevB.104.165304

Mathias Kamp and Björn Sothmann

**Higgs-Like Pair Amplitude Dynamics in Superconductor–Quantum-Dot Hybrids**

Phys. Rev. B 103, 045414 (2021)

DOI: 10.1103/PhysRevB.103.045414

Jürgen König and Alfred Hucht

**Newton Series Expansion of Bosonic Operator Functions**

SciPost Physics 10, 007 (2021)

DOI: 10.21468/SciPostPhys.10.1.007

Philipp Stegmann, Björn Sothmann, Jürgen König and Christian Flindt

**Electron Waiting Times in a Strongly Interacting Quantum Dot: Interaction Effects and Higher-Order Tunneling Processes**

Phys. Rev. Letters 127, 096803 (2021)

DOI: 10.1103/PhysRevLett.127.096803

Philipp Stegmann, Alex Gee, Neil T. Kemp and Jürgen König

**Statistical Analysis of Spin Switching in Coupled Spin-Crossover Molecules**

Phys. Rev. B 104, 125431 (2021)

DOI: 10.1103/PhysRevB.104.125431

**2020**

Simon Mundinar, Alfred Hucht, Jürgen König and Stephan Weiß

**Interaction-Induced Current Asymmetries in Resonant Transport through Interacting Quantum-Dot Spin Valves Revealed by Iterative Summation of Path Integrals**

Phys. Rev. B 102, 045404 (2020)

DOI: 10.1103/PhysRevB.102.045404

Philipp Stegmann, Jürgen König and Björn Sothmann

**Relaxation Dynamics in Double-Spin Systems**

Phys. Rev. B 101, 075411 (2020)

DOI: 10.1103/PhysRevB.101.075411

Martin Maurer, Jürgen König and Herbert Schoeller

**Multilevel Coherences in Quantum Dots**

Phys. Rev. Research 2, 033440 (2020)

DOI: 10.1103/PhysRevResearch.2.033440

**2019**

Simon Mundinar, Philipp Stegmann, Jürgen König and Stephan Weiß

**Iterative Path-Integral Summations for the Tunneling Magnetoresistance in Interacting Quantum-Dot Spin Valves**

Phys. Rev. B 99, 195457 (2019)

DOI: 10.1103/PhysRevB.99.195457

Annika Kurzmann, Philipp Stegmann, Jens Kerski, R. Schott, A. Ludwig, A. D. Wieck, Jürgen König, Axel Lorke and Martin Geller

**Optical Detection of Single-Electron Tunneling into a Semiconductor Quantum Dot**

Phys. Rev. Lett. 122, 247403 (2019)

DOI: 10.1103/PhysRevLett.122.247403

**2018**

Philipp Stegmann, Jürgen König and Stephan Weiß

**Coherent Dynamics in Stochastic Systems Revealed by Full Counting Statistics**

Phys. Rev. B 98, 035409 (2018)

DOI: 10.1103/PhysRevB.98.035409

Eric Kleinherbers, Philipp Stegmann and Jürgen König

**Revealing Attractive Electron-Electron Interaction in a Quantum Dot by Full Counting Statistics**

New J. Phys. 20, 073023 (2018)

DOI: 10.1088/1367-2630/aad14a

**2017**

Philipp Stegmann and Jürgen König

**Violation of Detailed Balance for Charge-Transfer Statistics in Coulomb-Blockade Systems**

phys. stat. sol. (B) 254, 1600507 (2017)

DOI: 10.1002/pssb.201600507

Philipp Stegmann and Jürgen König

**Inverse Counting Statistics Based on Generalized Factorial Cumulants**

New J. Phys. 19, 023018 (2017)

DOI: 10.1088/1367-2630/aa5a70