Field observables near a fluctuating boundary
- URL: http://arxiv.org/abs/2304.05992v2
- Date: Sun, 23 Jul 2023 17:56:57 GMT
- Title: Field observables near a fluctuating boundary
- Authors: Federico Armata, Salvatore Butera, Federico Montalbano, Roberto
Passante and Lucia Rizzuto
- Abstract summary: We investigate the case of two one-dimensional cavities separated by a movable wall of finite mass, with two massless scalar fields defined in the two cavities.
We show that correlations between the squared fields in the two cavities exist, mediated by the movable wall, at variance with the fixed-wall case.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We review several aspects related to the confinement of a massless scalar
field in a cavity with a movable conducting wall of finite mass, free to move
around its equilibrium position to which it is bound by a harmonic potential,
and whose mechanical degrees of freedom are described quantum mechanically.
This system, for small displacements of the movable wall from its equilibrium
position, can be described by an effective interaction Hamiltonian between the
field and the mirror, quadratic in the field operators and linear in the mirror
operators. In the interacting, i.e. dressed, ground state, we first consider
local field observables such as the field energy density: we evaluate changes
of the field energy density in the cavity with the movable wall with respect to
the case of a fixed wall, and corrections to the usual Casimir forces between
the two walls. We then investigate the case of two one-dimensional cavities
separated by a movable wall of finite mass, with two massless scalar fields
defined in the two cavities. We show that in this case correlations between the
squared fields in the two cavities exist, mediated by the movable wall, at
variance with the fixed-wall case.
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