A computer algebra package for calculation of the energy density produced via the dynamical Casimir effect in one-dimensional cavities

Temporal modulation of the quantum vacuum through fast motion of a neutral body or fast changes of its optical properties is known to promote virtual into real photons, the so-called dynamical Casimir effect. Empowering modulation protocols with spatial control could enable the shaping of spectral, spatial, spin, and entanglement properties of the emitted photon pairs. Space–time quantum metasurfaces have been proposed as a platform to realize this physics via modulation of their optical properties. Here, we report the mechanical analog of this phenomenon by considering systems in which the lattice structure undergoes modulation in space and in time. We develop a microscopic theory that applies both to moving mirrors with a modulated surface profile and atomic array meta-mirrors with perturbed lattice configuration. Spatiotemporal modulation enables motion-induced generation of co- and cross-polarized photon pairs that feature frequency-linear momentum entanglement as well as vortex photon pairs featuring frequency-angular momentum entanglement. The proposed space–time dynamical Casimir effect can be interpreted as induced dynamical asymmetry in the quantum vacuum.

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Kinetic-energy density functionals based on the homogeneous response function applied to one-dimensional fermion systems

Physical Review A ◽

10.1103/physreva.57.4192 ◽

1998 ◽

Vol 57 (6) ◽

pp. 4192-4200 ◽

Cited By ~ 25

Author(s):

P. García-González ◽

J. E. Alvarellos ◽

E. Chacón

Keyword(s):

Energy Density ◽

Kinetic Energy ◽

Response Function ◽

Kinetic Energy Density ◽

Density Functionals ◽

One Dimensional ◽

Fermion Systems

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LOCAL CONTRIBUTION OF A QUANTUM CONDENSATE TO THE VACUUM ENERGY DENSITY

Modern Physics Letters A ◽

10.1142/s0217732303009812 ◽

2003 ◽

Vol 18 (10) ◽

pp. 683-690 ◽

Cited By ~ 3

Author(s):

GIOVANNI MODANESE

Keyword(s):

Energy Density ◽

Vacuum Energy ◽

Casimir Effect ◽

Landau Equation ◽

Vacuum Energy Density ◽

Negative Effects ◽

Ginzburg Landau ◽

Physical Conditions ◽

Local Contribution ◽

Gravitational Vacuum

We evaluate the local contribution gμνL of coherent matter with Lagrangian density L to the vacuum energy density. Focusing on the case of superconductors obeying the Ginzburg–Landau equation, we express the relativistic invariant density L in terms of low-energy quantities containing the pairs density. We discuss under which physical conditions the sign of the local contribution of the collective wave function to the vacuum energy density is positive or negative. Effects of this kind can play an important role in bringing the local changes in the amplitude of gravitational vacuum fluctuations — a phenomenon reminiscent of the Casimir effect in QED.

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