Cooperativity and resonances in periodically driven spin-boson systems.

Area of Science:

• Quantum mechanics
• Condensed matter physics
• Quantum information science

Background:

• Quantum transport in two-level systems is crucial for quantum technologies.
• Understanding resonance phenomena, like stochastic resonance and Rabi resonance, is key to controlling quantum systems.
• Dissipation and periodic driving significantly influence quantum transport dynamics.

Purpose of the Study:

• To develop an analytical recursive formulation for quantum transport in symmetric two-level systems.
• To investigate the conditions for quantum stochastic resonance and its relation to classical stochastic resonance.
• To analyze Rabi resonance and its implications for quantum stochastic resonance and efficient population transfer.

Main Methods:

• Analytical recursive formulation.
• Rate-matching condition analysis.
• Investigation of Rabi resonance and harmonic effects.
• Adiabatic passage condition analysis.

Main Results:

• The rate-matching condition for quantum stochastic resonance is physically identical to the classical case.
• Transport can achieve approximately 70% population transfer near fundamental and third-harmonic Rabi resonances, even with weak driving fields.
• An adiabatic passage condition was recovered, enabling nearly 100% population transfer in the low-frequency, strong-driving limit.

Conclusions:

• The study provides a unified framework for understanding quantum transport under dissipation and periodic driving.
• Quantum stochastic resonance in two-level systems shares fundamental principles with its classical counterpart.
• Efficient population transfer in quantum systems can be achieved through careful manipulation of driving fields and exploiting resonance conditions.