Type of Publication:  Journal article 
URI (citable link):  http://nbnresolving.de/urn:nbn:de:bsz:352224894 
Author:  Bednorz, Adam; Belzig, Wolfgang; Nitzan, Abraham 
Year of publication:  2012 
Published in:  New Journal of Physics ; 14 (2012), 1.  013009.  ISSN 13672630.  eISSN 13672630 
DOI (citable link):  https://dx.doi.org/10.1088/13672630/14/1/013009 
Summary: 
A continuous projective measurement of a quantum system often leads to a suppression of the dynamics, known as the Zeno effect. Alternatively, generalized non projective, socalled ‘weak’ measurements can be carried out. Such a measurement is parameterized by its strength parameter that can interpolate continuously between the ideal strong measurement with no dynamics—the strict Zeno effect, and a weak measurement characterized by almost free dynamics but blurry observations. Here we analyze the stochastic properties of this uncertainty component in the resulting observation trajectory. The observation uncertainty results from intrinsic quantum uncertainty, the effect of measurement on the system (back action) and detector noise. It is convenient to separate the latter, systemindependent contribution from the systemdependent uncertainty, and this paper shows how to accomplish this separation. The system dependent uncertainty is found in terms of a quasiprobability, which, despite its weaker properties, is shown to satisfy a weak positivity condition. We discuss the basic properties of this quasiprobability with special emphasis on its time correlation functions as well as their relationship to the full correlation functions along the observation trajectory, and illustrate our general results with simple examples.We demonstrate a violation of classical macro realism using the fourth order time correlation functions with respect to the quasiprobability in the two level system.

Subject (DDC):  530 Physics 
Link to License:  In Copyright 
Bibliography of Konstanz:  Yes 
BEDNORZ, Adam, Wolfgang BELZIG, Abraham NITZAN, 2012. Nonclassical time correlation functions in continuous quantum measurement. In: New Journal of Physics. 14(1), 013009. ISSN 13672630. eISSN 13672630. Available under: doi: 10.1088/13672630/14/1/013009
@article{Bednorz2012Noncl22489, title={Nonclassical time correlation functions in continuous quantum measurement}, year={2012}, doi={10.1088/13672630/14/1/013009}, number={1}, volume={14}, issn={13672630}, journal={New Journal of Physics}, author={Bednorz, Adam and Belzig, Wolfgang and Nitzan, Abraham}, note={Article Number: 013009} }
<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22rdfsyntaxns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digitalrepositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.unikonstanz.de/rdf/resource/123456789/22489"> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:contributor>Belzig, Wolfgang</dc:contributor> <dcterms:issued>2012</dcterms:issued> <dc:contributor>Bednorz, Adam</dc:contributor> <dcterms:bibliographicCitation>New Journal of Physics ; 14 (2012).  013009</dcterms:bibliographicCitation> <dspace:hasBitstream rdf:resource="https://kops.unikonstanz.de/bitstream/123456789/22489/1/Bednorz_224894.pdf"/> <dc:rights>termsofuse</dc:rights> <dc:creator>Nitzan, Abraham</dc:creator> <dcterms:hasPart rdf:resource="https://kops.unikonstanz.de/bitstream/123456789/22489/1/Bednorz_224894.pdf"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">20130318T16:06:19Z</dcterms:available> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:creator>Belzig, Wolfgang</dc:creator> <bibo:uri rdf:resource="http://kops.unikonstanz.de/handle/123456789/22489"/> <dc:creator>Bednorz, Adam</dc:creator> <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/> <dcterms:title>Nonclassical time correlation functions in continuous quantum measurement</dcterms:title> <dspace:isPartOfCollection rdf:resource="https://kops.unikonstanz.de/rdf/resource/123456789/41"/> <dcterms:isPartOf rdf:resource="https://kops.unikonstanz.de/rdf/resource/123456789/41"/> <dc:contributor>Nitzan, Abraham</dc:contributor> <dcterms:abstract xml:lang="eng">A continuous projective measurement of a quantum system often leads to a suppression of the dynamics, known as the Zeno effect. Alternatively, generalized non projective, socalled ‘weak’ measurements can be carried out. Such a measurement is parameterized by its strength parameter that can interpolate continuously between the ideal strong measurement with no dynamics—the strict Zeno effect, and a weak measurement characterized by almost free dynamics but blurry observations. Here we analyze the stochastic properties of this uncertainty component in the resulting observation trajectory. The observation uncertainty results from intrinsic quantum uncertainty, the effect of measurement on the system (back action) and detector noise. It is convenient to separate the latter, systemindependent contribution from the systemdependent uncertainty, and this paper shows how to accomplish this separation. The system dependent uncertainty is found in terms of a quasiprobability, which, despite its weaker properties, is shown to satisfy a weak positivity condition. We discuss the basic properties of this quasiprobability with special emphasis on its time correlation functions as well as their relationship to the full correlation functions along the observation trajectory, and illustrate our general results with simple examples.We demonstrate a violation of classical macro realism using the fourth order time correlation functions with respect to the quasiprobability in the two level system.</dcterms:abstract> <dc:language>eng</dc:language> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">20130318T16:06:19Z</dc:date> </rdf:Description> </rdf:RDF>
Bednorz_224894.pdf  225 