2000 character limit reached
Quantum Field Theory in Curved Spacetime Approach to the Backreaction of Dynamical Casimir Effect
Published 16 May 2024 in hep-th, gr-qc, and quant-ph | (2405.10108v1)
Abstract: In this thesis, we investigate the dynamical Casimir effect, the creation of particles from vacuum by dynamical boundary conditions or dynamical background, and its backreaction to the motion of the boundary. The backreaction of particle creation to the boundary motion is studied using quantum field theory in curved spacetime technique, in 1+1 dimension and 3+1 dimension. The relevant quantities in these quantum field processes are carefully analyzed, including regularization of the UV and IR divergent of vacuum energy, and estimation of classical backreaction effects like radiation pressure. We recovered the qualitative result of backreaction in 1+1 dimensions. In the 3+1 dimension, we find that the backreaction tends to slow down the system to suppress the further particle creation, similar to the case of cosmological particle creation.
- L. Parker, Quantized fields and particle creation in expanding universes. I, Physical Review 183, 1057 (1969).
- Y. B. Zel’Dovich, Particle production in cosmology, Soviet Journal of Experimental and Theoretical Physics Letters 12, 307 (1970).
- G. T. Moore, Quantum Theory of the Electromagnetic Field in a Variable‐Length One‐Dimensional Cavity, Journal of Mathematical Physics 11, 2679 (1970).
- B. S. DeWitt, Quantum field theory in curved spacetime, Physics Reports 19, 295 (1975).
- S. A. Fulling and P. C. Davies, Radiation from a moving mirror in two dimensional space-time: conformal anomaly, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 348, 393 (1976).
- P. C. Davies and S. A. Fulling, Radiation from moving mirrors and from black holes, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 356, 237 (1977).
- E. Yablonovitch, Accelerating reference frame for electromagnetic waves in a rapidly growing plasma: Unruh-Davies-Fulling-DeWitt radiation and the nonadiabatic Casimir effect, Phys. Rev. Lett. 62, 1742 (1989).
- M. Crocce, D. A. Dalvit, and F. D. Mazzitelli, Resonant photon creation in a three-dimensional oscillating cavity, Physical Review A 64, 013808 (2001).
- M. Crocce, D. A. Dalvit, and F. D. Mazzitelli, Quantum electromagnetic field in a three-dimensional oscillating cavity, Physical Review A 66, 033811 (2002).
- B. L. Hu and L. Parker, Anisotropy damping through quantum effects in the early universe, Physical Review D 17, 933 (1978).
- J. B. Hartle and B. L. Hu, Quantum effects in the early universe. II. Effective action for scalar fields in homogeneous cosmologies with small anisotropy, Physical Review D 20, 1772 (1979).
- J. B. Hartle and B. L. Hu, Quantum effects in the early universe. III. Dissipation of anisotropy by scalar particle production, Physical Review D 21, 2756 (1980).
- E. Calzetta and B. L. Hu, Closed-time-path functional formalism in curved spacetime: Application to cosmological back-reaction problems, Physical Review D 35, 495 (1987).
- V. Dodonov, A. Klimov, and V. Man’ko, Nonstationary casimir effect and oscillator energy level shift, Physics Letters A 142, 511 (1989).
- Y.-C. Xie, S. Butera, and B.-L. Hu, Optomechanical Backreaction of Quantum Field Processes in Dynamical Casimir Effect, arXiv:2308.03129 [quant-ph] (2023).
- Y.-C. Xie, J.-T. Hsiang, and B.-L. Hu, Dynamical vacuum compressibility of space, Phys. Rev. D 109, 065027 (2024), arXiv:2312.09047 [gr-qc] .
- N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space, Cambridge Monographs on Mathematical Physics (Cambridge Univ. Press, Cambridge, UK, 1984).
- C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman, San Francisco, 1973).
- B. L. Hu and L. Parker, Effect of gravitation creation in isotropically expanding universes, Physics Letters A 63, 217 (1977).
- L. Parker, Quantized Fields and Particle Creation in Expanding Universes. II, Phys. Rev. D 3, 346 (1971).
- C. Bernard and A. Duncan, Regularization and renormalization of quantum field theory in curved space-time, Annals of Physics 107, 201 (1977).
- L. H. Ford, Cosmological particle production: a review, Rept. Prog. Phys. 84, 10.1088/1361-6633/ac1b23 (2021), arXiv:2112.02444 [gr-qc] .
- L. Parker and S. A. Fulling, Adiabatic regularization of the energy-momentum tensor of a quantized field in homogeneous spaces, Phys. Rev. D 9, 341 (1974).
- S. A. Fulling, L. Parker, and B. L. Hu, Conformal energy-momentum tensor in curved spacetime: Adiabatic regularization and renormalization, Phys. Rev. D 10, 3905 (1974a).
- Y. B. Zeldovich and A. A. Starobinsky, Particle production and vacuum polarization in an anisotropic gravitational field, Zh. Eksp. Teor. Fiz. 61, 2161 (1971).
- P. R. Anderson and L. Parker, Adiabatic regularization in closed robertson-walker universes, Phys. Rev. D 36, 2963 (1987).
- M. D. Schwartz, Quantum Field Theory and the Standard Model (Cambridge University Press, 2014).
- H. R. Beyer and J. Nitsch, A Note on a Casimir effect in a uniformly accelerated reference frame, Found. Phys. 20, 459 (1990).
- S. A. Fulling, L. Parker, and B. L. Hu, Conformal energy-momentum tensor in curved spacetime: Adiabatic regularization and renormalization, Physical Review D 10, 3905 (1974b).
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.