Statistics of work distribution in periodically driven closed quantum systems.

Area of Science:

• Quantum mechanics
• Statistical physics
• Condensed matter physics

Background:

• Understanding work distribution statistics in closed quantum systems is crucial for thermodynamics.
• Periodic driving introduces complex dynamics and energy exchanges.

Purpose of the Study:

• To establish a universal lower bound for the work distribution rate function in periodically driven quantum systems.
• To investigate the behavior of the work distribution in d-dimensional integrable models.

Main Methods:

• Derivation of a universal lower bound for the work distribution rate function.
• Analytical calculation of the rate function for specific d-dimensional integrable models.
• Analysis of the role of excitation and residual energy densities.

Main Results:

• A universal lower bound I(0) ≥ n(d) for the work distribution rate function was established.
• The rate function exhibits a zero at w = QL(d)/N, linked to energy densities.
• Calculations for integrable models show oscillatory dependence on drive frequency due to Stuckelberg interference.

Conclusions:

• The findings provide fundamental insights into quantum thermodynamics under periodic driving.
• The universal bound and oscillatory behavior offer testable predictions for experiments.
• The study highlights the importance of quantum interference effects in driven systems.