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Vibrational resonance in a driven two-level quantum system, linear and nonlinear response.

Shibashis Paul¹, Deb Shankar Ray¹

¹Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|January 18, 2021

Summary

This summary is machine-generated.

This study demonstrates vibrational resonance enhancement in a two-level quantum system driven by two electromagnetic fields. Optimal high-frequency field strength effectively modifies the system

Keywords:

Bloch equations multiple time-scale analysis symmetry breaking vibrational resonance

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Area of Science:

Quantum Optics
Nonlinear Dynamics
Quantum Information Science

Background:

Two-level quantum systems are fundamental to quantum optics and information processing.
Interaction with external fields can induce complex dynamics and phenomena.
Vibrational and stochastic resonance are key concepts in driven nonlinear systems.

Purpose of the Study:

To investigate vibrational resonance enhancement in a two-level quantum system.
To explore the dynamics of a field-dressed two-level system under specific electromagnetic field conditions.
To analyze linear, second harmonic, and Raman responses of the system.

Main Methods:

Theoretical analysis of a two-level quantum system interacting with two classical time-periodic electromagnetic fields.
Averaging out the effect of a high-frequency field to define an effective transition frequency.
Full numerical simulation of the two-level, two-field dynamics using loss-free Bloch equations.

Main Results:

Demonstration of vibrational resonance enhancement for linear response, second harmonic response, and Stokes/anti-Stokes Raman response.
Identification of an optimal strength for the high-frequency field to achieve resonance enhancement.
Theoretical predictions corroborated by numerical simulations.

Conclusions:

Quantum optics provides a viable platform for studying vibrational resonance.
Field-dressing a two-level system with specific electromagnetic fields can lead to enhanced resonant phenomena.
The findings contribute to understanding nonlinear dynamics in quantum systems.