Quantum Angular Momentum Diffusion of Rigid Bodies
arXiv:1712.05596 · doi:10.1088/1367-2630/aa99d1
Abstract
We show how to describe the diffusion of the quantized angular momentum vector of an arbitrarily shaped rigid rotor as induced by its collisional interaction with an environment. We present the general form of the Lindblad-type master equation and relate it to the orientational decoherence of an asymmetric nanoparticle in the limit of small anisotropies. The corresponding diffusion coefficients are derived for gas particles scattering off large molecules and for ambient photons scattering off dielectric particles, using the elastic scattering amplitudes.
18 pages, 1 figure; corresponds to published version
References in corpus (39)
- Sub-Kelvin Parametric Feedback Cooling of a Laser-Trapped Nanoparticle
- Cavity optomechanics using an optically levitated nanosphere
- Millikelvin cooling of an optically trapped microsphere in vacuum
- Toward Quantum Superposition of Living Organisms
- Colloquium: Quantum interference of clusters and molecules
- Zeptonewton force sensing with nanospheres in an optical lattice
- Cavity cooling of an optically levitated nanoparticle
- Matter-wave interference with particles selected from a molecular library with masses exceeding 10000 amu
- Cavity cooling a single charged nanoparticle
- Torsional optomechanics of a levitated nonspherical nanoparticle
- Optically Levitating Dielectrics in the Quantum Regime: Theory and Protocols
- Full Rotational Control of Levitated Silicon Nanorods
- Cavity cooling of free silicon nanoparticles in high-vacuum
- Quantum linear Boltzmann equation
- Parametric Feedback Cooling of Levitated Optomechanics in a Parabolic Mirror Trap
- Optically driven ultra-stable nanomechanical rotor
- Master equation for a quantum particle in a gas
- Cavity-assisted manipulation of freely rotating silicon nanorods in high vacuum
- Levitated Spinning Graphene
- Electron spin resonance from NV centers in diamonds levitating in an ion trap
- Proposal for quantum many-body simulation and torsional matter-wave interferometry with a levitated nanodiamond
- Ro-Translational Cavity Cooling of Dielectric Rods and Disks
- Strong Coupling between a Single NV Spin and the Rotational Mode of Diamonds Levitating in an Ion Trap
- Test Particle in a Quantum Gas
- Spatio-Orientational Decoherence of Nanoparticles
- Monitoring derivation of the quantum linear Boltzmann equation
- Monitoring approach to open quantum dynamics using scattering theory
- Decoherence of rotational degrees of freedom
- Collapse-induced Orientational Localization of Rigid Rotors
- Magnetic Rigid Rotor in the Quantum Regime: Theoretical Toolbox
- Quantum phase-space representation for curved configuration spaces
- Molecular Rotations in Matter-Wave Interferometry
- Relaxation dynamics of a quantum Brownian particle in an ideal gas
- Quantum master equation for collisional dynamics of massive particles with internal degrees of freedom
- Shot noise dominant regime for ellipsoidal nanoparticles in a linearly polarized beam
- Linear Stability Analysis of a Levitated Nanomagnet in a Static Magnetic Field: Quantum Spin Stabilized Magnetic Levitation
- Collisional decoherence of polar molecules
- Collisional decoherence of internal state superpositions in a trapped ultracold gas
- Diffusive limit for a quantum linear Boltzmann dynamics
Cited by in corpus (26)
- Quantum Decoherence
- Optomechanics with Levitated Particles
- Robust encoding of a qubit in a molecule
- Quantum rotations of nanoparticles
- Simultaneous cooling of all six degrees of freedom of an optically levitated nanoparticle by elliptic coherent scattering
- Quantum experiments with microscale particles
- Gas-induced friction and diffusion of rigid rotors
- Rotational friction and diffusion of quantum rotors
- Distribution of laser shot noise energy delivered to a levitated nanoparticle
- Theory of nanoparticle cooling by elliptic coherent scattering
- Enantiomer superpositions from matter-wave interference of chiral molecules
- Rotational Alignment Decay and Decoherence of Molecular Superrotors
- Detection of anisotropic particles in levitated optomechanics
- Interferometric control of nanorotor alignment
- Dynamical stability of the weakly nonharmonic propeller-shaped planar Brownian rotator
- Decoherence of dielectric particles by thermal emission
- Dynamical stability of the one-dimensional rigid Brownian rotator: The role of the rotator's spatial size and shape
- Decoherence: From Interpretation to Experiment
- A perturbative algorithm for rotational decoherence
- Probing rotational decoherence with a trapped-ion planar rotor
- Gyroscopically stabilized quantum spin rotors
- Roto-translational optomechanics
- Angular Momentum Entanglement Mediated By General Relativistic Frame Dragging
- Thermalization of the Quantum Planar Rotor with external potential
- Experimental decoherence in molecule interferometry
- Surface-induced decoherence and heating of charged particles