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Exact Floquet Dynamics of Strongly Damped Driven Quantum Systems
Konrad Mickiewicz1, Valentin Link2, Walter T Strunz1
1Technische Universität Dresden, Institut für Theoretische Physik, D-01062, Dresden, Germany.
Physical Review Letters
|June 7, 2026
Summary
We developed a new method to simulate strongly damped quantum systems under periodic driving. This approach accurately captures non-Markovian dynamics and helps study phenomena like quantum heating and entanglement stabilization.
Area of Science:
- Quantum mechanics
- Open quantum systems
- Quantum thermodynamics
Background:
- Simulating strongly damped quantum systems with periodic driving is computationally challenging.
- Understanding non-Markovian dynamics is crucial for realistic quantum systems.
- Existing methods often struggle to capture both dissipation and coherent driving effects accurately.
Purpose of the Study:
- To present an efficient and numerically exact method for simulating driven, dissipative quantum systems.
- To investigate the asymptotic heating of reservoirs in spin-boson models.
- To demonstrate the stabilization of transient entanglement in qubits using local driving.
Main Methods:
- Employing a periodic matrix product operator (PMPO) representation of the influence functional.
- Constructing a numerically exact Floquet propagator for non-Markovian open system dynamics.
- Applying the method to spin-boson models and two-qubit systems.
Main Results:
- The PMPO approach accurately captures the dissipative analog of the Floquet Hamiltonian.
- Characterized asymptotic heating and deviation from equilibrium in reservoir interactions.
- Showed that local driving can stabilize transient entanglement in qubits interacting with a common environment.
Conclusions:
- The developed theoretical and numerical framework provides transparent access to stationary and transient dynamics of driven, damped quantum systems.
- This method offers new possibilities for controlling and understanding quantum correlations in realistic noisy quantum devices.
- The findings are relevant for quantum information processing and quantum simulation of complex quantum phenomena.
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