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Area of Science:

  • Quantum Computing
  • Condensed Matter Physics
  • Open Quantum Systems

Background:

  • Studying Landau-Zener (LZ) sweeps is crucial for understanding quantum transitions in solid-state qubits.
  • Simulating these dynamics in realistic sub-Ohmic environments presents significant computational challenges.

Purpose of the Study:

  • To develop and apply novel computational methods for simulating dissipative Landau-Zener (LZ) sweeps in solid-state qubits.
  • To enable reliable long-time simulations in experimentally relevant, deeply sub-Ohmic environments.

Main Methods:

  • Utilized non-Markovian open quantum system dynamics.
  • Employed a novel representation of the dynamical propagator: the uniform time evolving matrix product operator (U-T-MPO) method.
  • Integrated a stochastic realization of finite temperature fluctuations to reduce computational cost.

Main Results:

  • Achieved convergence in the deeply sub-Ohmic regime, previously computationally prohibitive.
  • Successfully simulated long-time dynamical protocols like the LZ sweep.
  • Demonstrated the method's applicability to challenging parameter regimes in current experimental platforms.

Conclusions:

  • The developed U-T-MPO method with stochastic temperature fluctuations offers a powerful tool for simulating dissipative quantum dynamics.
  • This advancement facilitates the study of realistic solid-state qubits under complex environmental conditions.
  • Enables precise investigation of Landau-Zener sweeps for quantum technologies.