Funding period: 2021 – 2024

Project leaders: Wolfgang Belzig and Guido Burkard

Scientific staff: Lorenzo Bernazzani, Daniel Boneß

Former members: Amin Hosseinkhani, Dominik Maile

We will study the dynamics of mechanical oscillators coupled to each other and to microscopic quantum spins. We will investigate the question how classical dynamics and fluctuations can mimic a quantum system or influence the dissipative nonlinear dynamics in order to establish nanomechanical systems as simulators of quantum effects. In the quantum-classical crossover regime, we will investigate quantum concepts in the presence of classical noise and/or driving. We plan to establish hybrid mechanical systems in the fully quantum regime as simulators of coupled spins or resonators. Research will be done in close interaction with experimentalists in the CRC.

List of publications

2024

• Fractional positional jumps in stochastic systems with tilted periodic double-well potentials
  M. Žonda, W. Belzig, E. Goldobin, T. Novotný
  Phys. Rev. B 110, 054306 – Published 7 August 2024
  also related to project A02
   
• Fluctuating parametric drive of coupled classical oscillators can simulate dissipative qubits
  L. Bernazzani, and Guido Burkard
  Phys. Rev. Research 6, 013284 – Published 14 March 2024
   
• Quantum Gates with Oscillating Exchange Interaction
  D. Q. L. Nguyen, I. Heinz, and G. Burkard,
  Quantum Sci. Technol. 9, 015020 - published 29 January 2024

2022

• Frequency Comb from a Single Driven Nonlinear Nanomechanical Mode
  J. S. Ochs, D. K. J. Boneß, G. Rastelli, M. Seitner, W. Belzig, M. I. Dykman, and E. M. Weig
  Phys. Rev. X 12, 041019 - published 18 November 2022
   
• Quantum-correlated photons generated by nonlocal electron transport
  F. Hellbach, F. Pauly, W. Belzig, and G. Rastelli
  Phys. Rev. B 105, L241407 – published 17 June 2022
  also related to A03
   
• High-fidelity CNOT gate for spin qubits with asymmetric driving using virtual gates
  Irina Heinz and Guido Burkard
  Phys. Rev. B 105, L121402 – published 4 March 2022
   
• Crosstalk analysis for simultaneously driven two-qubit gates in spin qubit arrays
  Irina Heinz and Guido Burkard
  Phys. Rev. B 105, 085414 – published 16 February 2022

2021

• Exponential speedup of incoherent tunneling via dissipation
  D. Maile, S. Andergassen, W. Belzig, and G. Rastelli
  Phys. Rev. Research 3, 033019 – published 6 July 2021
   
• Persistent Response in an Ultrastrongly Driven Mechanical Membrane Resonator
  Fan Yang, Felicitas Hellbach, Felix Rochau, Wolfgang Belzig, Eva M. Weig, Gianluca Rastelli, and Elke Scheer
  Phys. Rev. Lett. 127, 014304 – published 2 July 2021
  related also to projects C01, and C03

Further Publications

• Spin-Orbit-Induced Strong Coupling of a Single Spin to a Nanomechanical Resonator
  A. Pályi, P. R. Struck, M. Rudner, K. Flensberg, and G. Burkard
  Phys. Rev. Lett. 108, 206811 – published 18 May 2012
   
• Ground-State Cooling of a Carbon Nanomechanical Resonator by Spin-Polarized Current
  P. Stadler, W. Belzig, and G. Rastelli
  Phys. Rev. Lett. 113, 047201 – published 21 July 2014
   
• Control of vibrational states by spin-polarized transport in a carbon nanotube resonator
  P. Stadler, W. Belzig, and G. Rastelli
  Phys. Rev. B 91, 085432 – published 27 February 2015
   
• Ground-State Cooling of a Mechanical Oscillator by Interference in Andreev Reflection
  P. Stadler, W. Belzig, and G. Rastelli
  Phys. Rev. Lett. 117, 197202 – published 2 November 2016
   
• Creating arbitrary quantum vibrational states in a carbon nanotube
  H. Wang and G. Burkard
  Phys. Rev. B 94, 205413 – published 10 November 2016
   
• Spin-strain interaction in nitrogen-vacancy centers in diamond
  P. Udvarhelyi, V. O. Shkolnikov, A. Gali, G. Burkard, and A. Pályi
  Phys. Rev. B 98, 075201 – published 2 August 2018
   
• Spectral Evidence of Squeezing of a Weakly Damped Driven Nanomechanical Mode
  J. S. Huber, G. Rastelli, M. J. Seitner, J. Kölbl, W. Belzig, M. I. Dykman, and E. M. Weig
  Phys. Rev. X 10, 021066 – published 23 June 2020