Enhancement of photon creation through the pseudo-Hermitian dynamical Casimir effect
arXiv:2108.05859 · doi:10.1016/j.physa.2022.126945
Abstract
We analyse here the pseudo-Hermitian Dynamical Casimir effect, proposing a non-Hermitian version of the effective Law's Hamiltonian used to describe the phenomenon. We verify that the average number of created photons can be substantially increased, a result which calls the attention to the possibility of engineering the time-dependent non-Hermitian Hamiltonian we have assumed. Given the well-known difficulty in detecting the Casimir photon production, the present result reinforces the importance of pseudo-Hermitian quantum mechanics as a new chapter of quantum theory and an important tool for the amplification of Hermitian processes such as the degree of squeezing of quantum states.
arXiv comment12 pages, 3 figures
References in corpus (37)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Making Sense of Non-Hermitian Hamiltonians
- Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Measurement of the Casimir force between parallel metallic surfaces
- Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
- Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
- Effective Hamiltonian Theory and Its Applications in Quantum Information
- A Materials Perspective on Casimir and van der Waals Interactions
- Measurement of the Casimir force between dissimilar metals
- The Casimir Effect: Physical Manifestations of Zero Point Energy
- Strong Casimir force reduction through metallic surface nanostructuring
- Demonstration of the Casimir force between ferromagnetic surfaces of a Ni-coated sphere and a Ni-coated plate
- Measurement of non-monotonic Casimir forces between silicon nanostructures
- Time-dependent version of cryptohermitian quantum theory
- Unitary quantum evolution for time-dependent quasi-Hermitian systems with non-observable Hamiltonians
- Dynamical Casimir effect at finite temperature
- Time Dependent -Symmetric Quantum Mechanics
- Time Averaged Quantum Dynamics and the Validity of the Effective Hamiltonian Model
- Dynamical Casimir Effect in a Leaky Cavity at Finite Temperature
- Measurement of the short-range attractive force between Ge plates using a torsion balance
- The non-Hermitian Swanson model with a time-dependent metric
- Frequency up- and down-conversions in two-mode cavity quantum electrodynamics
- Bilinear and quadratic Hamiltonians in two-mode cavity quantum electrodynamics
- On the invariant method for the time-dependent non-Hermitian Hamiltonians
- Mending the broken PT-regime via an explicit time-dependent Dyson map
- Squeezing arbitrary cavity-field states through their interaction with a single driven atom
- Controllable generation of photons and phonons in a coupled BEC-optomechanical-cavity via the parametric dynamical Casimir effect
- Eternal life of entropy in non-Hermitian quantum systems
- Preparation and control of a cavity-field state through atom-driven field interaction: towards long-lived mesoscopic states
- One-step generation of high-quality squeezed and EPR states in cavity QED
- Dynamical Casimir effect of phonon excitation in the dispersive regime of cavity optomechanics
- An analogue model for controllable Casimir radiation in a nonlinear cavity with amplitude-modulated pumping: Generation and quantum statistical properties
- Engineering cavity-field states by projection synthesis
- Proposal to produce long-lived mesoscopic superpositions through an atom-driven field interaction
- Dynamical Casimir Effect in a Designed Leaky Cavity
- Upper-bounded and sliced Jaynes- and anti-Jaynes-Cummings Hamiltonians and Liouvillians in cavity quantum electrodynamics
- Number of particle creation and decoherence in the nonideal dynamical Casimir effect at finite temperature