Vacuum radiation versus shortcuts to adiabaticity
arXiv:2308.05241 · doi:10.1103/PhysRevA.108.022217
Abstract
The nonadiabatic dynamic of the electromagnetic field triggers photons generation from the quantum vacuum. Shortcuts to adiabaticity, instead, are protocols that mimic the field's adiabatic dynamic in a finite time. Here, we show how the counterdiabatic term of the transitionless tracking algorithm cancels out, exactly, the term responsible for the photon production in the dynamical Casimir effect. This result suggests that the energy of producing photons out of the vacuum is related to the energetic cost of the shortcut. Furthermore, if the system operates under a quantum thermodynamic cycle, we confirm the equivalence between the adiabatic and nonadiabatic work outputs. Finally, our study reveals that identifying these unreported observations can only be possible using the so-called effective Hamiltonian approach.
7 pages, Accepted in Phys. Rev. A
References in corpus (10)
- Quantum Thermodynamic Cycles and quantum heat engines
- Single ion heat engine with maximum efficiency at maximum power
- Current status of the Dynamical Casimir Effect
- Focus on Shortcuts to Adiabaticity
- Fundamental limits for cooling of linear quantum refrigerators
- Dynamical Casimir effect in stochastic systems: photon-harvesting through noise
- Dynamical Casimir effect and minimal temperature in quantum thermodynamics
- Quantum work distributions associated with the dynamical Casimir effect
- Dynamical Casimir effect via modulated Kerr or higher nonlinearities
- A shortcut to adiabaticity in a cavity with a moving mirror