Topological properties of interacting systems  Page description

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Details of project

 
Identifier
132146
Type FK
Principal investigator Pályi, András
Title in Hungarian Kölcsönható rendszerek topologikus tulajdonságai
Title in English Topological properties of interacting systems
Keywords in Hungarian spin, kvantumdot, spin-pálya-kölcsönhatás, kicserélődési kölcsönhatás, topológia, Chern-szám, kvantumbit
Keywords in English spin, quantum dot, spin-orbit interaction, exchange interaction, topology, Chern number, quantum bit
Discipline
Physics (Council of Physical Sciences)100 %
Ortelius classification: Quantum mechanics
Panel Physics 1
Department or equivalent Department of Theoretical Physics (Budapest University of Technology and Economics)
Participants Asbóth, János Károly
Boross, Péter
Derakhshanmaman, Vahid
Frank, György
Fülöp, Gergő
Pintér, Gergő
Széchenyi, Gábor
Zaránd, Gergely Attila
Starting date 2019-12-01
Closing date 2023-11-30
Funding (in million HUF) 39.908
FTE (full time equivalent) 15.04
state running project





 

Final report

 
Results in Hungarian
Ebben a projektben a paraméterfüggő fizikai rendszerek energiadegenerációs pontjai (Weyl-pontok) tulajdonságainak elméleti vizsgálatára fókuszáltunk. Különféle fizikai elrendezéseket vizsgáltunk, ahol ezek a Weyl-pontok létrejöhetnek: például kristályos anyagok sávszerkezeteit, félvezető- és szupravezető-alapú nanoelektronikai áramköröket, valamint klasszikus mechanikai rugós oszcillátor-rendszereket. Munkánk kulcsfontosságú előrelépésekhez vezetett a Weyl-pontok univerzális tulajdonságainak megértésében, és azt is megmutattuk, hogy ezek az új ismeretek gyakorlati célokra is hasznosíthatók, például a kvantumbitek hatékony vezérlésének és kiolvasásának elősegítésére, spin-alapú kvantumszámítógép-prototípusokban. Ezen a területen túlmenően a projekt számos további új kutatási eredményt hozott létre a nanoelektronika, a topologikus kondenzáltanyag-fizika és a kvantuminformáció határterületein.
Results in English
In this project, we focused on the theoretical investigation of the properties of energy degeneracy points (Weyl points) of parameter-dependent physical systems. We explored different physical settings where those Weyl points arise, e.g., band structures of crystalline materials, nanoelectronic circuits based on semiconductors and superconductors, and classical-mechanical ball-and-spring oscillator systems. Our work have led to key advances in understanding the universal properties of Weyl points, and we have also shown that this new understanding can be exploited for practical purposes, e.g., to foster efficient control and readout of quantum bits in spin-based quantum computer prototypes. Our work has extended further beyond this focus area, and established numerous new research results at the interface between nanoelectronics, topological condensed matter and quantum information.
Full text https://www.otka-palyazat.hu/download.php?type=zarobeszamolo&projektid=132146
Decision
Yes





 

List of publications

 
Valentin John, Francesco Borsoi, Zoltán György, Chien-An Wang, Gábor Széchenyi, Floor van Riggelen, William I. L. Lawrie, Nico W. Hendrickx, Amir Sammak, Giordano Scappucci, András Pályi, Menno Veldhorst: Bichromatic Rabi control of semiconductor qubits, Physical Review Letters (közlésre elfogadva/accepted for publication), 2023
György Frank, Gergő Pintér, András Pályi: Singularity theory of Weyl-point creation and annihilation, https://arxiv.org/abs/2309.05506, 2023
Baksa Kolok, András Pályi: Protocols to measure the non-Abelian Berry phase by pumping a spin qubit through a quantum-dot loop, https://arxiv.org/abs/2308.05455, 2023
Aritra Sen, György Frank, Baksa Kolok, Jeroen Danon, András Pályi: Classification and magic magnetic-field directions for spin-orbit-coupled double quantum dots, Physical Review B 108, 245406, 2023
Zoltán Guba, György Frank, Gergő Pintér, András Pályi: Weyl points in ball-and-spring mechanical systems, https://arxiv.org/abs/2302.08241, 2023
Áron Rozgonyi, Gábor Széchenyi: Break-even point of the quantum repetition code, New Journal of Physics 25, 103004, 2023
Gergő Pintér, András Sándor: Cross-caps, triple points and a linking invariant for finitely determined germs, Revista Matematica Complutense, 2023
Áron Márton, János Asbóth: Coherent errors and readout errors in the surface code, Quantum 7, 1116, 2023
András Grabarits, Attila Takács, Ion Cosma Fulga, János K. Asbóth: Floquet-Anderson localization in the Thouless pump and how to avoid it, https://arxiv.org/abs/2309.12882, 2023
Hui Liu, Cosma Fulga, Emil J. Bergholtz, Janos Asboth: Topological fine structure of an energy band, https://arxiv.org/abs/2312.08436, 2023
Dominik Szombathy, Miklós Antal Werner, Cătălin Paşcu Moca, Örs Legeza, Assaf Hamo, Shahal Ilani, Gergely Zaránd: Collective Wigner crystal tunneling in carbon nanotubes, https://arxiv.org/abs/2306.15985, 2023
Roy Haller, Melissa Osterwalder, Gergő Fülöp, Joost Ridderbos, Minkyung Jung, Christian Schönenberger: AC Josephson effect in a gate-tunable Cd3As2 nanowire superconducting weak link, Physical Review B 108, 094514, 2023
Mátyás Kocsis, Zoltán Scherübl, Gergő Fülöp, Péter Makk, Szabolcs Csonka: Strong nonlocal tuning of the current-phase relation of a quantum dot based Andreev molecule, https://arxiv.org/abs/2303.14842, 2023
Péter Boross, András Pályi: Braiding-based quantum control of a Majorana qubit built from quantum dots, https://arxiv.org/abs/2305.08464, 2023
Gábor Széchenyi, András Pályi: Parity-to-charge conversion for readout of topological Majorana qubits, Phys. Rev. B 101, 235441, 2020
Catalin Pascu Moca, Wataru Izumida, Balázs Dóra, Örs Legeza, János K. Asbóth, Gergely Zaránd: Topologically Protected Correlated End Spin Formation in Carbon Nanotubes, Phys. Rev. Lett. 125, 056401, 2020
Péter Boross, András Pályi: Dephasing of Majorana qubits due to quasistatic disorder, https://arxiv.org/abs/2106.15679, 2021
Zoltán Scherübl, Gergő Fülöp, Jörg Gramich, András Pályi, Christian Schönenberger, Jesper Nygård, Szabolcs Csonka: From Cooper pair splitting to the non-local spectroscopy of a Shiba state, https://arxiv.org/abs/2108.12155, 2021
Roy Haller, Gergő Fülöp, David Indolese, Joost Ridderbos, Rainer Kraft, Luk Yi Cheung, Jann Hinnerk Ungerer, Kenji Watanabe, Takashi Taniguchi, Detlef Beckmann, Romain Danneau, Pauli Virtanen, Christian Schönenberger: Phase-dependent microwave response of a graphene Josephson junction, https://arxiv.org/abs/2108.00989, 2021
Catalin Pascu Moca, Ireneusz Weynmann, Miklos Antal Werner, Gergely Zarand: Kondo Cloud in a Superconductor, Phys. Rev. Lett. 127, 186804, 2021
Alexander-Georg Penner, Felix von Oppen, Gergely Zaránd, and Martin R. Zirnbauer: Hilbert Space Geometry of Random Matrix Eigenstates, Phys. Rev. Lett. 126, 200604, 2021
György Frank, Dániel Varjas, Gergő Pintér, András Pályi: Weyl-point teleportation, https://arxiv.org/abs/2112.14556, 2021
György Frank, Dániel Varjas, Péter Vrana, Gergő Pintér, András Pályi: Topological charge distributions of an interacting two-spin system, Physical Review B 105, 035414, 2022
Péter Boross, András Pályi: Dephasing of Majorana qubits due to quasistatic disorder, Physical Review B 105, 035413, 2022
Zoltán Scherübl, Gergő Fülöp, Jörg Gramich, András Pályi, Christian Schönenberger, Jesper Nygård, Szabolcs Csonka: From Cooper pair splitting to the non-local spectroscopy of a Shiba state, Physical Review Research 4, 023143, 2022
Roy Haller, Gergő Fülöp, David Indolese, Joost Ridderbos, Rainer Kraft, Luk Yi Cheung, Jann Hinnerk Ungerer, Kenji Watanabe, Takashi Taniguchi, Detlef Beckmann, Romain Danneau, Pauli Virtanen, Christian Schönenberger: Phase-dependent microwave response of a graphene Josephson junction, Physical Review Research 4, 013198, 2022
F. K. Malinowski, R. K. Rupesh, L. Pavesic, Z. Guba, D. de Jong, L. Han, C. G. Prosko, M. Chan, Y. Liu, P. Krogstrup, A. Palyi, R. Zitko, J. V. Koski: Quantum capacitance of a superconducting subgap state in an electrostatically floating dot-island, https://arxiv.org/abs/2210.01519, 2022
Z. Gyorgy, A. Palyi, G. Szechenyi: Electrically driven spin resonance with bichromatic driving, https://arxiv.org/abs/2206.00399, 2022
G. Pinter, Gy. Frank, D. Varjas, A. Palyi: Birth Quota of Non-Generic Degeneracy Points, https://arxiv.org/abs/2202.05825, 2022
O. Kürtössy, Z. Scherübl, G. Fülöp, I. E. Lukács, T. Kanne, J. Nygård, P. Makk, Sz. Csonka: Parallel InAs nanowires for Cooper pair splitters with Coulomb repulsion, https://arxiv.org/abs/2203.14397, 2022
B. Ostahie, D. Sticlet, C. P. Moca, B. Dóra, M. A. Werner, J. K. Asbóth, G. Zaránd: Multiparticle quantum walk: a dynamical probe of topological many-body excitations, https://arxiv.org/abs/2209.03569, 2022
György Frank, Zoltán Scherübl, Szabolcs Csonka, Gergely Zaránd, András Pályi: Magnetic degeneracy points in interacting two-spin systems: Geometrical patterns, topological charge distributions, and their stability, Phys. Rev. B 101, 245409, 2020
Vahid Derakhshan Maman, M. F. Gonzalez-Zalba, and András Pályi: Charge Noise and Overdrive Errors in Dispersive Readout of Charge, Spin, and Majorana Qubits, Phys. Rev. Applied 14, 064024, 2020
Catalin Pascu Moca, Wataru Izumida, Balázs Dóra, Örs Legeza, János K. Asbóth, Gergely Zaránd: Topologically Protected Correlated End Spin Formation in Carbon Nanotubes, Phys. Rev. Lett. 125, 056401, 2020
Daniël Bouman, Ruben J. J. van Gulik, Gorm Steffensen, Dávid Pataki, Péter Boross, Peter Krogstrup, Jesper Nygård, Jens Paaske, András Pályi, Attila Geresdi: Triplet-blockaded Josephson supercurrent in double quantum dots, Phys. Rev. B 102, 220505(R), 2020
Catalin Pascu Moca, Ireneusz Weynmann, Miklos Antal Werner, Gergely Zarand: Kondo Cloud in a Superconductor, Phys. Rev. Lett. 127, 186804, 2021
Alexander-Georg Penner, Felix von Oppen, Gergely Zaránd, and Martin R. Zirnbauer: Hilbert Space Geometry of Random Matrix Eigenstates, Phys. Rev. Lett. 126, 200604, 2021
Z. Gyorgy, A. Palyi, G. Szechenyi: Electrically driven spin resonance with bichromatic driving, Physical Review B 106, 155412, 2022
O. Kürtössy, Z. Scherübl, G. Fülöp, I. E. Lukács, T. Kanne, J. Nygård, P. Makk, Sz. Csonka: Parallel InAs nanowires for Cooper pair splitters with Coulomb repulsion, npj Quantum Materials 7, 88, 2022
Gábor Széchenyi, András Pályi: Parity-to-charge conversion for readout of topological Majorana qubits, Phys. Rev. B 101, 235441, 2020
György Frank, Zoltán Scherübl, Szabolcs Csonka, Gergely Zaránd, András Pályi: Magnetic degeneracy points in interacting two-spin systems: Geometrical patterns, topological charge distributions, and their stability, Phys. Rev. B 101, 245409, 2020
Vahid Derakhshan Maman, M. F. Gonzalez-Zalba, and András Pályi: Charge Noise and Overdrive Errors in Dispersive Readout of Charge, Spin, and Majorana Qubits, Phys. Rev. Applied 14, 064024, 2020
Catalin Pascu Moca, Wataru Izumida, Balázs Dóra, Örs Legeza, János K. Asbóth, Gergely Zaránd: Topologically Protected Correlated End Spin Formation in Carbon Nanotubes, Phys. Rev. Lett. 125, 056401, 2020
György Frank, Dániel Varjas, Péter Vrana, Gergő Pintér, András Pályi: Topological charge distributions of an interacting two-spin system, https://arxiv.org/abs/2012.14357, 2020
Daniël Bouman, Ruben J. J. van Gulik, Gorm Steffensen, Dávid Pataki, Péter Boross, Peter Krogstrup, Jesper Nygård, Jens Paaske, András Pályi, Attila Geresdi: Triplet-blockaded Josephson supercurrent in double quantum dots, Phys. Rev. B 102, 220505(R), 2020





 

Events of the project

 
2020-12-22 13:06:02
Résztvevők változása
2020-10-26 17:00:41
Résztvevők változása




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