Stabilizing coherent destruction of tunneling

Area of Science:

• Quantum mechanics
• Condensed matter physics

Background:

• Particle localization is crucial for quantum technologies.
• Symmetric systems require specific conditions (degenerate Floquet levels) for localization.
• Asymmetric systems present unique challenges and opportunities for particle control.

Purpose of the Study:

• To investigate particle localization in tunneling systems with arbitrary symmetry.
• To explore the impact of broken symmetry on localization conditions.
• To identify synergistic effects between dynamic and static asymmetry for enhanced localization.

Main Methods:

• Theoretical analysis of a tunneling particle subjected to an oscillating external field.
• Examination of systems with both symmetric and asymmetric properties.
• Inclusion of coupling to a dissipative environment in the theoretical model.

Main Results:

• The requirement for degenerate Floquet levels for localization is relaxed in asymmetric systems.
• A synergistic effect between dynamic and static asymmetry substantially extends the localization regime.
• The findings are applicable to tunneling systems coupled to dissipative environments.

Conclusions:

• Broken symmetry offers a more flexible pathway to particle localization in tunneling systems.
• The synergistic effect of asymmetry provides a powerful mechanism for controlling localized particles.
• This work generalizes localization phenomena to a broader class of quantum systems, including those with dissipation.