Theory of decoherence in a matter wave Talbot-Lau interferometer
arXiv:quant-ph/0407245 · doi:10.1103/PhysRevA.70.053608
Abstract
We present a theoretical framework to describe the effects of decoherence on matter waves in Talbot-Lau interferometry. Using a Wigner description of the stationary beam the loss of interference contrast can be calculated in closed form. The formulation includes both the decohering coupling to the environment and the coherent interaction with the grating walls. It facilitates the quantitative distinction of genuine quantum interference from the expectations of classical mechanics. We provide realistic microscopic descriptions of the experimentally relevant interactions in terms of the bulk properties of the particles and show that the treatment is equivalent to solving the corresponding master equation in paraxial approximation.
20 pages, 4 figures (minor corrections; now in two-column format)
References in corpus (20)
- Decoherence, einselection, and the quantum origins of the classical
- Dynamical Reduction Models
- Decoherence of matter waves by thermal emission of radiation
- Matter-wave interferometer for large molecules
- Collisional decoherence observed in matter wave interferometry
- The wave nature of biomolecules and fluorofullerenes
- Determination of Atom-Surface van der Waals Potentials from Transmission-Grating Diffraction Intensities
- Collisional decoherence reexamined
- Diffraction of complex molecules by structures made of light
- Quantum Master Equation of Particle in Gas Environment
- The van der Waals Potential between Metastable Atoms and Solid Surfaces: Novel Diffraction Experiments versus Theory
- From Single to Multiple-Photon Decoherence in an Atom Interferometer
- Apparent wave function collapse caused by scattering
- Decoherence in a Talbot Lau interferometer: the influence of molecular scattering
- A search for a border between classical and quantum worlds
- Test Particle in a Quantum Gas
- Decoherence and Records for the Case of a Scattering Environment
- Translation-covariant Markovian master equation for a test particle in a quantum fluid
- Analysis of the loss of coherence in interferometry with macromolecules
- Magnetic edge states
Cited by in corpus (69)
- Atom Interferometers
- Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
- A Spin Entanglement Witness for Quantum Gravity
- Quantum Decoherence
- Colloquium: Quantum interference of clusters and molecules
- Near-field interferometry of a free-falling nanoparticle from a point-like source
- A Kapitza-Dirac-Talbot-Lau interferometer for highly polarizable molecules
- Quantum linear Boltzmann equation
- Free Nano-Object Ramsey Interferometry for Large Quantum Superpositions
- Realization of a complete Stern-Gerlach interferometer: Towards a test of quantum gravity
- Testing spontaneous localization theories with matter-wave interferometry
- Master equation for a quantum particle in a gas
- Theory and experimental verification of Kapitza-Dirac-Talbot-Lau interferometry
- Bounds on Collapse Models from Matter-Wave Interferometry: Calculational details
- Experimental motivation and empirical consistency in minimal no-collapse quantum mechanics
- Quantum Model of Cooling and Force Sensing With an Optically Trapped Nanoparticle
- Colored and Dissipative Continuous Spontaneous Localization model and Bounds from Matter-Wave Interferometry
- Testing the foundations of quantum physics in space Interferometric and non-interferometric tests with Large Particles
- Matter-wave interference of a native polypeptide
- Non-interferometric test of the Continuous Spontaneous Localization model based on rotational optomechanics
- Theory of near-field matter wave interference beyond the eikonal approximation
- On the quantum description of Einstein's Brownian motion
- Monitoring derivation of the quantum linear Boltzmann equation
- Concept of an ionizing time-domain matter-wave interferometer
- Non-Markovian dynamics for bipartite systems
- Influence of molecular temperature on the coherence of fullerenes in a near-field interferometer
- Optical polarizabilities of large molecules measured in near-field interferometry
- Theory of decoherence due to scattering events and Lévy processes
- Mass-independent scheme for enhancing spatial quantum superpositions
- Colored collapse models from the non-interferometric perspective
- New prospects for de Broglie interferometry
- Pointer basis induced by collisional decoherence
- Multilayer test masses to enhance the collapse noise
- Molecular Rotations in Matter-Wave Interferometry
- Relaxation dynamics of a quantum Brownian particle in an ideal gas
- Decoherence due to gravitational time dilation: analysis of competing decoherence effects
- Quantum reference frames for an indefinite metric
- Absolute absorption spectroscopy based on molecule interferometry
- Impact of Casimir-Polder interaction on Poisson-spot diffraction at a dielectric sphere
- Collapse models: main properties and the state of art of the experimental tests
- Talbot--Lau effect beyond the point-particle approximation
- Decoherence of black hole superpositions
- Thermal limitation of far-field matter-wave interference
- Dephasing of a non-relativistic quantum particle due to a conformally fluctuating spacetime
- Interaction Between an Optically Levitated Nanoparticle and Its Thermal Image: Internal Thermometry via Displacement Sensing
- Quantum interference with molecules: The role of internal states
- Collisional decoherence of polar molecules
- Reduced coherence in double-slit diffraction of neutrons
- On the decoherence effect of a stochastic gravitational perturbation on scalar matter and the possibility of its interferometric detection
- Three-dimensional Monte Carlo simulations of the quantum linear Boltzmann equation
- Prospects for near-field interferometric tests of Collapse Models
- Conformer-selection by matter-wave interference
- Classical phase-space approach for coherent matter waves
- Decoherence and Matter Wave Interferometry
- Matter waves in the Talbot-Lau interferometry
- Decoherence by Internal Degrees of Freedom
- Wave optics of quantum gravity for massive particles
- Multi-photon absorption in optical gratings for matter waves
- Decoherence: From Interpretation to Experiment
- Suppressed dispersion for a randomly kicked quantum particle in a Dirac comb
- A perturbative algorithm for rotational decoherence
- Measuring Decoherence Due to Quantum Vacuum Fluctuations
- Visibility Fringe Reduction Due to Noise-Induced Effects: Microscopic Approach to Interference Experiments
- Quantum decoherence in a pragmatist view: Resolving the measurement problem
- Decoherence in a Two Slit Diffraction Experiment with Massive Particles
- Open quantum dynamics via environmental monitoring
- Requirements for probing chiral Casimir-Polder forces in a molecular Talbot-Lau interferometer
- Quantum decoherence in a pragmatist view: Part I
- A ballistic motion disrupted by quantum reflections