Description of the research project:

The aim of this research grant is devoted to the out-of-equilibrium properties of superconducting nanoscopic hybrid devices consisting of active elements, e.g., a set of semiconducting nanowires, connected to superconducting leads. Such devices, apart from their applications in quantum information processing and sensor technology, provide an ideal setup to study quantum phenomena in controlled conditions. Using complementary methods previously developed and/or mastered by both collaborating teams, including numerical renormalization group, diagrammatic perturbation techniques and quantum Monte Carlo, we will evaluate linear response properties such as thermopower or microwave response, which have been only recently measured. Moreover, some of these methods will be further generalized to strong out-of-equilibrium situations to provide results on AC Josephson systems driven by finite voltage or quenched systems undergoing a sudden change of parameters. We plan to build up a toolbox of theoretical methods for a reliable description of nonequilibrium nanohybrids to address both existing as well as future experiments.

Research tasks:

• Investigation of thermoelectric effects induced by temperature gradient in the Cooper-pair-splitter geometry and other superconducting hybrid setups with correlated quantum dots

• Determination of the microwave susceptibility for superconducting nanohybrids within the linear electromagnetic response theory

• Superconducting nanohybrids driven by finite voltage drop. Investigation of the collapse of Josephson emission for AC Josephson current observed in experiment

• Investigation of post-quench dynamics of multi-terminal superconducting hybrid structures. Analysis of dynamical parity crossings of the quantum dot(s) embedded in Josephson junctions.

International cooperation between:

Charles University in Prague (Czech Republic), Academy of Sciences in Prague (Czech Republic),

M. Curie-Sklodowska University in Lublin (Poland), A. Mickiewicz University in Poznan (Poland).

Members:

Doc. RNDr. Tomas Novotny (Principal Investigator of the Czech team)

Co-investigators: Dr. Martin Zonda, Dr. Vladislav Pokorny, Dr. Peter Zolom

Prof. Tadeusz Domanski (Principal Investigator of the Polish team)

Prof. Ireneusz Weynmann (Leader of the node at A. Mickiewicz University)

Co-investigators: Prof. Karol I. Wysokinski, Dr. Kacper Wrześniewski, MSc. Marlena Dziurawiec

We have open position available for Ph.D. student at A. Mickiewicz University

Publications:

• Signatures of Kondo-Majorana interplay in ac response
  K.P. Wójcik, T. Domański & I. Weymann, Phys. Rev. B 109, 075432 (2024).

• Four-terminal quantum dot as an efficient rectifier of heat and charge currents
  K.I. Wysokiński, Phys. Rev. B 107, 155409 (2023).

• Double quantum dot Andreev molecules: Phase diagrams and critical evaluation of effective models
  P. Zalom, K. Wrześniewski, T. Novotny, I. Weymann, Phys. Rev. B 110, 134506 (2024).

• Nonlocal correlations transmitted between quantum dots via short topological superconductor,
  G. Górski, K.P. Wójcik, J. Baranski, I. Weymann, T. Domański, Scientific Reports 14, 13848 (2024). 

• Signatures of the Correlated-Hopping Interaction in Non-Linear Transport through a Quantum Dot

U. Eckern, K.I. Wysokiński, Annalen der Physik 2400344 (2024)

• Interplay of correlations and Majorana mode from local solution perspective,
  J. Barański, M. Barańska, T. Zienkiewicz, T. Domański, J. Phys.: Condens. Matter 37, 055302 (2025). 

Lectures by T. Domański:

• Dynamical effects in quantum dots coupled to superconductors [seminarium na zaproszenie]
  Charles University, Prague (Czech Republic), 20 Feb 2025

• Nonequilibrium phenomena on interfaces with topological superconductors [invited lecture]
  MagTop Focused Workshop (Instytut Fizyki PAN, Warszawa), 23 Oct 2024

• Are pairs of Majorana modes distantly cross-correlated? [invited lecture]
  XXI Krajowe Sympozjum Nadprzewodnictwa (Uniwersytet Jagielloński, Kraków), 25 Sep 2024

• Nontrivial topological phases in superconducting nanostructures [plenary lecture]
  2Dtronics Symposium (A. Mickiewicz University, Poznan), 31 Jan 2024

• Josephson junctions: a platform for exotic superconducting phases" [invited lecture]
  Symposium on Spintronics and Quantum Information (Bedlewo), 12 Jan 2024

• Superconductivity in nanoscopic systems [wyklad plenarny] Zjazd Fizyków Polskich (Gdańsk), 7 Sep 2023

• Dynamical effects of correlated superconducting nanostructures [invited lecture]
  Euroconference "Physics of Magnetism" (Poznań), 30 Jun 2023

• Planar Josephson junctions: platform for topological superconductivity [seminarium na zaproszenie]
  ACMiN AGH (Krakow), 24 May 2023

• Dynamical quantum phase transition of superconducting nanostructures [invited lecture]
  Politechnika Warszawska (Warszawa), 28 Mar 2023

• Interplay of magnetism and superconductivity in Josephson junctions [seminarium na zaproszenie]
  Instytut Fizyki PAN (Warszawa), 7 Mar 2023

• Topological superconductivity and boundary modes of magnetic nanostructures [invited lecture]
  Symposium on Interfacing Magnetism and Superconductivity with Topological Matter, MAGTOP (Warszawa), 18 Jan 2023

Lectures by K.I. Wysokiński:

• Me and Physics: from electron lifetime and superconductivity to holography” [plenary lecture]
  Symposium on Correlations, Topology, and Superconductivity (Instytut Fizyki UMCS, Lublin), 14 Nov 2024

• Unconventional superconductor Sr2RuO4: Then and now [opening invited lecture]
  XXI Krajowe Sympozjum Nadprzewodnictwa (Uniwersytet Jagielloński, Kraków), 22 Sep 2024

• Four terminal quantum dot as an efficient rectifier of heat and charge currents lecture]
  International conference on “Superstripes 2024 Quantum Complex Matter” (Ischia Naples, Italy), 24-29 Jun 2024

• Thermoelectricity: basic concepts, and applications to nanoscale heat engines [tutorial lecture]
  Meeting of the German Physical Society (Berlin, Germany), 17 Mar 2024

• Charge and heat transport through quantum dot: two novel aspects [seminarium na zaproszenie]
  Instytut Fizyki PAN (Warszawa), 29 Mar 2023

Lectures by I. Weymann:

• Thermoelectric effects in nanoscale systems [invited lecture]
  Symposium on Correlations, Topology, and Superconductivity (Instytut Fizyki UMCS, Lublin), 14 Nov 2024

• Emergent quantum critical point for charge density-wave ordered materials [invited lecture]
  XXI Krajowe Sympozjum Nadprzewodnictwa (Uniwersytet Jagielloński, Kraków), 23 Sep 2024

•  Kondo screening cloud in a superconductor [invited lecture]
  The Sixth Poznań Symposium on Quantum Information and Quantum Technologies, 13 May, 2024

• Majorana quasiparticles in transport through hybrid nanostructures [referat proszony]
  Zjazd Fizyków Polskich, 2023, Gdańsk,

• Transport and quantum criticality in correlated nanoscale systems [seminarium proszone]
  Instytut Fizyki Molekularnej PAN, 12.05.2023

• Signatures of Majorana modes leaking into double quantum dot systems [lecture]
  Bound states in superconducting nanodevices, Budapest (Hungary), 11-14.06.2023