Fluctuation-induced Forces on Nanospheres in External Fields
arXiv:2311.10496 · doi:10.1103/PhysRevA.109.052807
Abstract
We analyze the radiative forces between two dielectric nanospheres mediated via the quantum and thermal fluctuations of the electromagnetic field in the presence of an external drive. We generalize the scattering theory description of fluctuation forces to include external quantum fields, allowing them to be in an arbitrary quantum state. The known trapping and optical binding potentials are recovered for an external coherent state. We demonstrate that an external squeezed vacuum state creates similar potentials to a laser, despite its zero average intensity. Moreover, Schrödinger cat states of the field can enhance or suppress the optical potential depending on whether they are odd or even. Considering the nanospheres trapped by optical tweezers, we examine the total interparticle potential as a function of various experimentally relevant parameters, such as the field intensity, polarization, and phase of the trapping lasers. We demonstrate that an appropriate set of parameters could produce mutual bound states of the two nanospheres with potential depth as large as K. Our results are pertinent to ongoing experiments with trapped nanospheres in the macroscopic quantum regime, paving the way for engineering interactions among macroscopic quantum systems.
References in corpus (27)
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Motional Quantum Ground State of a Levitated Nanoparticle from Room Temperature
- Reconstruction of non-classical cavity field states with snapshots of their decoherence
- Testing the limits of quantum mechanical superpositions
- Measurement-based quantum control of mechanical motion
- Levitodynamics: Levitation and control of microscopic objects in vacuum
- Real-time optimal quantum control of mechanical motion at room temperature
- Casimir forces between arbitrary compact objects
- Quantum control of a nanoparticle optically levitated in cryogenic free space
- Surpassing the standard quantum limit for optical imaging using non-classical multimode light
- Schrödinger cat states of a 16-microgram mechanical oscillator
- Simultaneous ground-state cooling of two mechanical modes of a levitated nanoparticle
- Observation of strong and tunable light-induced dipole-dipole interactions between optically levitated nanoparticles
- Constraints on stable equilibria with fluctuation-induced forces
- Optical cold damping of neutral nanoparticles near the ground state in an optical lattice
- Two-dimensional quantum motion of a levitated nanosphere
- Trapping atoms using nanoscale quantum vacuum forces
- Investigating macroscopic quantum superpositions and the quantum-to-classical transition by optical parametric amplification
- Casimir-Polder interatomic potential between two atoms at finite temperature and in the presence of boundary conditions
- Non-additivity of optical and Casimir-Polder potentials
- Suppressing Recoil Heating in Levitated Optomechanics using Squeezed Light
- Impact of Casimir-Polder interaction on Poisson-spot diffraction at a dielectric sphere
- Casimir attractive-repulsive transition in MEMS
- Casimir-Polder Potential of a Driven Atom
- Interaction Between an Optically Levitated Nanoparticle and Its Thermal Image: Internal Thermometry via Displacement Sensing
- Quantum Brownian Motion of a particle from Casimir-Polder Interactions
- Repulsive vacuum-induced forces on a magnetic particle