Dynamical Steady-States in Driven Quantum Systems

Abstract

We derive dynamical equations for a driven, dissipative quantum system in which the environment- induced relaxation rate is comparable to the Rabi frequency, avoiding assumptions on the frequency dependence of the environmental coupling. When the environmental coupling varies significantly on the scale of the Rabi frequency, secular or rotating wave approximations break down. Our approach avoids these approximations, yielding dynamical, periodic steady-states. This is important for the qualitative and quantitative description of the interaction between driven quantum dots and their phonon environment. The theory agrees well with recent experiments, describing the transition from asymmetric unsaturated resonances at weak driving to population inversion at strong driving.

5 pages. Supplementary Information available on request

References in corpus (9)

• Fast Single-Charge Sensing with an rf Quantum Point Contact
• Quantum dot Rabi rotations beyond the weak exciton-phonon coupling regime
• Model of the optical emission of a driven semiconductor quantum dot: phonon-enhanced coherent scattering and off-resonant sideband narrowing
• Population inversion of driven two-level systems in a structureless bath
• Quantum interference and phonon-mediated back-action in lateral quantum dot circuits
• Multiscale photosynthetic exciton transfer
• Environment-governed dynamics in driven quantum systems
• Parity measurement of one- and two-electron double well systems
• Pulse-induced acoustoelectric vibrations in surface-gated GaAs-based quantum devices

Cited by in corpus (21)

• Testing the validity of the local and global GKLS master equations on an exactly solvable model
• Bath induced coherence and the secular approximation
• Tomographically reconstructed master equations for any open quantum dynamics
• Keldysh meets Lindblad: Correlated Gain and Loss in Higher-Order Perturbation Theory
• Dephasing-assisted Gain and Loss in Mesoscopic Quantum Systems
• Nonreciprocal Atomic Scattering: A saturable, quantum Yagi-Uda antenna
• Vibrational effects in charge transport through a molecular double quantum dot
• Time local master equation connecting the Born and Markov approximations
• Stimulated Phonon Emission in a Driven Double Quantum Dot
• Amplitude tuning of steady state entanglement in strongly driven coupled qubits
• Lamb shift enhancement and detection in strongly driven superconducting circuits
• Quantum transport under AC drive from the leads : A Quantum Master Equation approach
• Periodic thermodynamics of the Rabi model with circular polarization for arbitrary spin quantum numbers
• Floquet-state cooling
• Dissipative Rabi model in the dispersive regime
• Revealing the system-bath coupling via Landau-Zener-Stückelberg interferometry in superconducting qubits
• Periodic thermodynamics of a two spin Rabi model
• Coherence protection in coupled quantum systems
• Full-polaron master equation approach to dynamical steady states of a driven two-level system beyond the weak system-environment coupling
• Efficient steady state entanglement generation in strongly driven coupled qubits
• Floquet Engineering of Non-Equilibrium Superradiance