scholarly journals The influence of spacetime curvature on quantum emission in optical analogues to gravity

2020 ◽  
Vol 3 (1) ◽  
Author(s):  
Maxime Jacquet ◽  
Friedrich Koenig
Keyword(s):  
Particle Flux ◽  
Mode Conversion ◽  
Photon Number ◽  
Spectral Shape ◽  
Quantum Field ◽  
Quantum Vacuum ◽  
Hawking Effect ◽  
Maximal Entanglement ◽  
Spacetime Curvature ◽  
Curved Spacetimes

Quantum fluctuations on curved spacetimes cause the emission of pairs of particles from the quantum vacuum, as in the Hawking effect from black holes. We use an optical analogue to gravity to investigate the influence of the curvature on quantum emission. Due to dispersion, the spacetime curvature varies with frequency here. We analytically calculate for all frequencies the particle flux, correlations and entanglement. We find that horizons increase the flux with a characteristic spectral shape. The photon number correlations transition from multi- to two-mode, with close to maximal entanglement. The quantum state is a diagnostic for the mode conversion in laboratory tests of quantum field theory on curved spacetimes.

scholarly journals Thermal Casimir effect with general boundary conditions

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
J. M. Muñoz-Castañeda ◽  
L. Santamaría-Sanz ◽  
M. Donaire ◽  
M. Tello-Fraile
Keyword(s):  
Boundary Conditions ◽  
Vacuum Energy ◽  
Casimir Effect ◽  
Quantum Field ◽  
Quantum Vacuum ◽  
Parallel Plates ◽  
Casimir Forces ◽  
Thermal Correction ◽  
Frequency Independent ◽  
Scalar Quantum

Abstract In this paper we study the system of a scalar quantum field confined between two plane, isotropic, and homogeneous parallel plates at thermal equilibrium. We represent the plates by the most general lossless and frequency-independent boundary conditions that satisfy the conditions of isotropy and homogeneity and are compatible with the unitarity of the quantum field theory. Under these conditions we compute the thermal correction to the quantum vacuum energy as a function of the temperature and the parameters encoding the boundary condition. The latter enables us to obtain similar results for the pressure between plates and the quantum thermal correction to the entropy. We find out that our system is thermodynamically stable for any boundary conditions, and we identify a critical temperature below which certain boundary conditions yield attractive, repulsive, and null Casimir forces.

SQUEEZING AND PHOTON STATISTICS IN FIVE-WAVE MIXING PROCESS

2009 ◽  
Vol 23 (22) ◽  
pp. 2681-2693 ◽  
Author(s):  
SUNIL RANI ◽  
JAWAHAR LAL ◽  
NAFA SINGH
Keyword(s):  
Fundamental Mode ◽  
Coupling Parameter ◽  
Photon Number ◽  
Field Amplitude ◽  
Photon Statistics ◽  
Squeezed States ◽  
Wave Mixing ◽  
Quantum Field ◽  
Mixing Process ◽  
Signal Photon

We investigate theoretically the generation of squeezed states in spontaneous and stimulated five-wave mixing process. It has been found that squeezing occurs in field amplitude, amplitude-squared, amplitude-cubed and fourth-order amplitude states of the fundamental mode in the process. It is found to be dependent on coupling parameter g and phase values of the field amplitude of the fundamental mode. The process involves the absorption of two pump photons each having frequency ω1, emission of two probe photons of same frequency ω2 and a signal photon of frequency ω3. It is shown that squeezing is greater in a stimulated interaction than the corresponding squeezing in the spontaneous process. It is found that the degree of squeezing depends on the photon number in the first and higher orders. We study the statistical behaviour of quantum field in the fundamental mode. It has been found that the field shows sub-Poissonian behavior in this mode.

scholarly journals Bounding f(R) gravity by particle production rate

2016 ◽  
Vol 25 (04) ◽  
pp. 1630010 ◽  
Author(s):  
Salvatore Capozziello ◽  
Orlando Luongo ◽  
Mariacristina Paolella
Keyword(s):  
Field Theory ◽  
Particle Production ◽  
High Redshift ◽  
Dark Side ◽  
Quantum Field ◽  
Quantum Vacuum ◽  
Vacuum States ◽  
Text Model ◽  
Free Parameters ◽  
The Given

Several models of [Formula: see text] gravity have been proposed in order to address the dark side problem in cosmology. However, these models should be constrained also at ultraviolet scales in order to achieve some correct fundamental interpretation. Here, we analyze this possibility comparing quantum vacuum states in given [Formula: see text] cosmological backgrounds. Specifically, we compare the Bogolubov transformations associated to different vacuum states for some [Formula: see text] models. The procedure consists in fixing the [Formula: see text] free parameters by requiring that the Bogolubov coefficients can be correspondingly minimized to be in agreement with both high redshift observations and quantum field theory predictions. In such a way, the particle production is related to the value of the Hubble parameter and then to the given [Formula: see text] model. The approach is developed in both metric and Palatini formalism.

scholarly journals A Physically-Motivated Quantisation of the Electromagnetic Field on Curved Spacetimes

Entropy ◽  
2019 ◽  
Vol 21 (9) ◽  
pp. 844
Author(s):  
Ben Maybee ◽  
Daniel Hodgson ◽  
Almut Beige ◽  
Robert Purdy
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Quantum Field Theory ◽  
Electromagnetic Field ◽  
Minkowski Space ◽  
Unruh Effect ◽  
Quantum Field ◽  
Rindler Space ◽  
Electric And Magnetic Field ◽  
Curved Spacetimes

Recently, Bennett et al. (Eur. J. Phys. 37:014001, 2016) presented a physically-motivated and explicitly gauge-independent scheme for the quantisation of the electromagnetic field in flat Minkowski space. In this paper we generalise this field quantisation scheme to curved spacetimes. Working within the standard assumptions of quantum field theory and only postulating the physicality of the photon, we derive the Hamiltonian, H ^ , and the electric and magnetic field observables, E ^ and B ^ , respectively, without having to invoke a specific gauge. As an example, we quantise the electromagnetic field in the spacetime of an accelerated Minkowski observer, Rindler space, and demonstrate consistency with other field quantisation schemes by reproducing the Unruh effect.

scholarly journals Matter-antimatter asymmetry and non-inertial effects

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
V. M. G. Silveira ◽  
C. A. Z. Vasconcellos ◽  
E. G. S. Luna ◽  
D. Hadjimichef
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Unruh Effect ◽  
Quantum Field ◽  
Inertial Effects ◽  
Curved Spacetimes ◽  
Thermal Phenomena ◽  
The Relationship ◽  
Very High ◽  
Accelerated Particles

Abstract We investigate non-inertial effects on CP-violating processes using a model, based on the framework of quantum field theory in curved spacetimes, devised to account for the decay of accelerated particles. We show that the CP violation parameter for the decay of accelerated kaons into two pions decreases very slightly as very high accelerations are achieved, implying decreased asymmetry between matter and antimatter in this regime. We discuss the relationship between these results and cosmological processes surrounding matter-antimatter asymmetry and argue that, due to the connection between non-inertial and thermal phenomena established by the Unruh effect, this kind of computation may prove useful in furthering the understanding of thermodynamical effects in curved spacetimes.

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