Dynamical casimir effect at finite temperature

Area of Science:

• Quantum field theory in curved spacetime
• Non-equilibrium quantum statistical mechanics

Background:

• The dynamical Casimir effect predicts particle creation from vacuum fluctuations due to time-varying boundary conditions.
• Understanding thermal influences is essential for realistic experimental scenarios.

Purpose of the Study:

• To investigate thermal effects on particle creation under time-dependent boundary conditions.
• To derive temperature corrections to radiated energy and photon production.
• To assess the impact of finite temperatures on dynamical Casimir effect experiments.

Main Methods:

• Utilizing response theory to derive temperature corrections for moving mirrors.
• Applying nonperturbative methods to calculate thermal effects in resonantly vibrating cavities.
• Analyzing the enhancement of vacuum effects by finite temperatures.

Main Results:

• The dominant temperature correction to radiated energy by a moving mirror was derived.
• The thermal effect on created photon numbers in a vibrating cavity was obtained nonperturbatively.
• Finite temperatures were shown to enhance vacuum effects by several orders of magnitude.

Conclusions:

• Finite-temperature effects significantly influence particle creation in time-dependent quantum systems.
• These thermal corrections are critical for the experimental observation of the dynamical Casimir effect.
• The study highlights the importance of considering thermal bath influences in quantum vacuum phenomena.