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Quantum Metrology with Photoelectrons: Vol 2

Applications and advances
Paul Hockett


Since the turn of the century, the increasing availability of photoelectron imaging experiments, along with the increasing sophistication of experimental techniques, and the availability of computational resources for analysis and numerics, has allowed for significant developments in such photoelectron metrology. Volume 2, Quantum Metrology with Photoelectrons: Applications and advances discusses the fundamental concepts along with recent and emerging applications.  

Volume 2 explores the applications and development of quantum metrology schemes based on photoelectron measurements. The author begins with a brief historical background on "complete" photoionization experiments, followed by the details of state reconstruction methodologies from experimental measurements. Three specific applications of quantum metrology schemes are discussed in detail. In addition, the book provides advances, future directions, and an outlook including (ongoing) work to generalise these schemes and extend them to dynamical many-body systems. Volume 2 will be of interest to readers wishing to see the (sometimes messy) details of state reconstruction from photoelectron measurements as well as explore the future prospects for this class of metrology.

The author addresses photoionization as an interferometric process, in which multiple paths can contribute to the final continuum photoelectron wavefunction. At the simplest level, interferences between different final angular momentum states are manifest in the energy and angle-resolved photoelectron spectra: metrology schemes making use of these interferograms are thus phase-sensitive, and provide a powerful route to the detailed understanding of photoionization. In these cases, the continuum wavefunction (and underlying scattering dynamics) can be characterised. At a more complex level, such measurements can also provide a powerful probe for other processes of interest, leading to a more general class of quantum metrology built on phase-sensitive photoelectron imaging.

About Editors

Paul Hockett earned his PhD in 2008 from the University of Nottingham, UK, and joined the National Research Council of Canada in 2009. Paul's research interests cover a range of topics spanning the areas of AMO (atomic, molecular, and optical), quantum, and computational physics (and physical chemistry), with a particular focus on fundamental light-matter interactions, spectroscopy, and application to complex systems.

Table of Contents

III Developments, methodologies, and measurements

8 Developing quantum metrology with photoelectrons

8.1 Historical development: complete photoionization experiments

8.1.1 Atomic photoionization

8.1.2 Molecular photoionization

8.1.3 Methodologies

8.1.4 PADs as probes

8.1.5 Outlook/Development/Summary ?

8.1.6 Further reading

8.2 Experimental & analysis methodologies

8.2.1 Determination of bL;M(k; t) from photoelectron images

8.2.2 Matrix element retrieval



9 State-resolved frequency-domain measurements

9.1 Rotationally-resolved photoelectron imaging

9.2 Bootstrapping complexity: from atomic to molecular scattering

9.3 Photoelectron angular interferograms and determination of the dipole matrix elements

9.4 Uniqueness: mapping the c2 hyperspace and verification

9.5 Pump-probe polarization geometry dependence and tomographic imaging



10 Time-domain measurements with intra-pulse dynamics

10.1 Photoelectron imaging measurements from potassium 

10.2 Photoelectron image simulation & parameter reconstruction

10.3 Photoelectron angular interferograms and determination of the dipole matrix elements

10.4 Mapping c2: fit statistics & sensitivity

10.5 Comparison with tomographic data



11 Time-domain measurements with rotational wavepackets: bootstrapping protocol

11.1 Test case: butadiene model

11.2 Nitrogen aligned-frame photoelectron imaging

11.3 Bootstrapping protocol

11.3.1 Formalism

11.3.2 Stage 1: rotational wavepacket reconstruction

11.3.3 Stage 2: photoionization matrix element reconstruction

11.4 Photoionization matrix elements

11.5 Molecular Frame Reconstructions

11.6 Bootstrap protocol summary & outlook



IV Generalisations and future directions

12 Advances

12.1 Information content revisited

12.2 Multiplexing and control

12.2.1 Exploring the intra-pulse dynamics

12.2.2 Coherent control for metrology: polarization multiplexing and information content

12.2.3 Extensions Atoms Molecules Other regimes

12.2.4 Maximum information measurements & multiplexing

12.3 Generalised bootstrapping

12.3.1 Theoretical limitations

12.3.2 Additional approximations

12.3.3 Experimental considerations

12.3.4 Computational methods



13 Future directions & outlook

13.1 Bootstrapping to quantitative quantum dynamics

13.2 Further directions for quantum metrologies based on photoelectron interferograms

13.3 Summary & outlook



Paperback ISBN: 9780750329095

Ebook ISBN: 9781681746913

DOI: 10.1088/978-1-6817-4688-3

Publisher: Morgan & Claypool Publishers


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