Phonon Casimir effect in polyatomic systems
arXiv:2012.11082 · doi:10.1103/PhysRevB.103.195434
Abstract
The phonon Casimir effect describes the phonon-mediated interaction between defects in condensed-matter systems. Using the path-integral formalism, we derive a general method for calculating the Helmholtz free energy due to vibrational modes in systems of arbitrary dimensionality and composition. Our results make it possible to extract the defect interaction energy at any temperature for various defect configurations. We demonstrate our approach in action by performing numerical calculations for mono- and diatomic chains, as well as a diatomic molecule, at zero and finite temperatures and validate our results using exact diagonalization.
arXiv comment12 pages, 8 figures
References in corpus (18)
- Measurement of the Casimir force between parallel metallic surfaces
- The Casimir force between real materials: experiment and theory
- Exciting Collective Oscillations in a Trapped 1D Gas
- Confinement induced molecules in a 1D Fermi gas
- Quantum dynamics of impurities in a 1D Bose gas
- Observation of the thermal Casimir force
- Scattering Theory Approach to Electrodynamic Casimir Forces
- Casimir interaction between a perfect conductor and graphene described by the Dirac model
- Strong Casimir force reduction through metallic surface nanostructuring
- Casimir forces on a silicon micromechanical chip
- Casimir forces between defects in one-dimensional quantum liquids
- Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
- Phonon-mediated Casimir interaction between mobile impurities in one-dimensional quantum liquids
- The Casimir-like effect in a one-dimensional Bose gas
- Phonon-mediated Casimir interaction between finite mass impurities
- Sensitivity and accuracy of Casimir force measurements in air
- T-matrix approach to the phonon-mediated Casimir interaction
- Many-impurity phonon Casimir effect in atomic chains