Crossover between strong and weak measurement in interacting many-body systems

Measurements with variable system-detector interaction strength, ranging from weak to strong, have been recently reported in a number of electronic nanosystems. In several such instances many-body effects play a significant role. Here we consider the weak-to-strong crossover for a setup consisting o...

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Published inNew journal of physics Vol. 18; no. 1; pp. 13016 - 13030
Main Authors Esin, Iliya, Romito, Alessandro, Blanter, Ya M, Gefen, Yuval
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 08.01.2016
Subjects
03.65.Ta
73.23.-b
Crossovers
Dependence
Mach-Zehnder interferometer
Mach-Zehnder interferometers
Physics
Sensors
strong measurement
weak measurement
weak value
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Abstract Measurements with variable system-detector interaction strength, ranging from weak to strong, have been recently reported in a number of electronic nanosystems. In several such instances many-body effects play a significant role. Here we consider the weak-to-strong crossover for a setup consisting of an electronic Mach-Zehnder interferometer, where a second interferometer is employed as a detector. In the context of a conditional which-path protocol, we define a generalized conditional value (GCV), and determine its full crossover between the regimes of weak and strong (projective) measurement. We find that the GCV has an oscillatory dependence on the system-detector interaction strength. These oscillations are a genuine many-body effect, and can be experimentally observed through the voltage dependence of cross current correlations.
AbstractList Measurements with variable system-detector interaction strength, ranging from weak to strong, have been recently reported in a number of electronic nanosystems. In several such instances many-body effects play a significant role. Here we consider the weak-to-strong crossover for a setup consisting of an electronic Mach-Zehnder interferometer, where a second interferometer is employed as a detector. In the context of a conditional which-path protocol, we define a generalized conditional value (GCV), and determine its full crossover between the regimes of weak and strong (projective) measurement. We find that the GCV has an oscillatory dependence on the system-detector interaction strength. These oscillations are a genuine many-body effect, and can be experimentally observed through the voltage dependence of cross current correlations.
Author Blanter, Ya M
Romito, Alessandro
Gefen, Yuval
Esin, Iliya
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  surname: Gefen
  fullname: Gefen, Yuval
  organization: The Weizmann Institute of Science Department of Condensed Matter Physics, Rehovot 76100, Israel
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Snippet Measurements with variable system-detector interaction strength, ranging from weak to strong, have been recently reported in a number of electronic...
Measurements with variable system–detector interaction strength, ranging from weak to strong, have been recently reported in a number of electronic...
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SubjectTerms 03.65.Ta
73.23.-b
Crossovers
Dependence
Mach-Zehnder interferometer
Mach-Zehnder interferometers
Physics
Sensors
strong measurement
weak measurement
weak value
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Title Crossover between strong and weak measurement in interacting many-body systems
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