2000 character limit reached
Explicit formulas for adiabatic elimination with fast unitary dynamics
Published 2 Apr 2024 in quant-ph | (2404.01802v2)
Abstract: The so-called ``adiabatic elimination'' of fast decaying degrees of freedom in open quantum systems can be performed with a series expansion in the timescale separation. The associated computations are significantly more difficult when the remaining degrees of freedom (center manifold) follow fast unitary dynamics instead of just being slow. This paper highlights how a formulation with Sylvester's equation and with adjoint dynamics leads to systematic, explicit expressions at high orders for settings of physical interest.
- Quantum adiabatic markovian master equations. New Journal of Physics, 14(12):123016, 2012.
- Towards generic adiabatic elimination for bipartite open quantum systems. Quantum Science and Technology, 2(4):044011, 2017.
- Adiabatic elimination for open quantum systems with effective lindblad master equations. In 2016 IEEE 55th Conference on Decision and Control (CDC), pages 4559–4565. IEEE, 2016.
- Adiabatic elimination and subspace evolution of open quantum systems. Physical Review A, 101(4):042102, 2020.
- A palette of approaches for adiabatic elimination in bipartite open quantum systems with hamiltonian dynamics on target. In 2019 IEEE 58th Conference on Decision and Control (CDC), pages 1362–1368. IEEE, 2019.
- Adiabatic elimination for multi-partite open quantum systems with non-trivial zero-order dynamics. In 2018 IEEE Conference on Decision and Control (CDC), pages 6614–6619. IEEE, 2018.
- J. Guillaud. Thermal adiabatic elimination with adjoint lindbladian. inria Technical Note, 2020.
- S. Haroche and J.-M. Raimond. Exploring the quantum: atoms, cavities, and photons. Oxford university press, 2006.
- F.-M. Le Régent and P. Rouchon. Heisenberg formulation of adiabatic elimination for open quantum systems with two timescales. In 2023 IEEE Conference on Decision and Control (CDC), pages –. IEEE, 2023.
- F.-M. Le Régent and P. Rouchon. Adiabatic elimination for composite open quantum systems: Reduced-model formulation and numerical simulations. Phys. Rev. A, 109:032603, Mar 2024.
- A. Metelmann and A. A. Clerk. Nonreciprocal photon transmission and amplification via reservoir engineering. Physical Review X, 5(2):021025, 2015.
- Dynamically protected cat-qubits: a new paradigm for universal quantum computation. New Journal of Physics, 16(4):045014, 2014.
- High-sensitivity ac-charge detection with a mhz-frequency fluxonium qubit. Phys. Rev. X, 14:011007, 2024.
- H. I. Nurdin and N. Yamamoto. Linear dynamical quantum systems. Analysis, Synthesis, and Control, 2017.
- Quantum reservoir engineering with laser cooled trapped ions. Physical review letters, 77(23):4728, 1996.
- F. Reiter and A. S. Sørensen. Effective operator formalism for open quantum systems. Physical Review A, 85(3):032111, 2012.
- Averaging methods in nonlinear dynamical systems, volume 59. Springer, 2007.
- Complete positivity violation in higher-order quantum adiabatic elimination. arXiv preprint arXiv:2211.11008, 2022.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
