Current Cross Correlators in Mesoscopic Conductors

Samuelsson, Peter; Büttiker, Μ.

doi:10.1007/s10909-006-9266-9

Cited by 6 publications

(3 citation statements)

References 31 publications

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“…Intensity correlation in quantum optics has been recognized as a fundamental tool to identify the wide class of optical beams from chaotic light to quantum states of light [1]. Electronic analog of intensity correlation can be performed by measuring cross-correlation between two electrical currents [2,3]. Negative correlations have been observed for uncorrelated electrons even in the presence of fermionic collisions and Coulombic repulsions [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Negative and positive cross-correlations of current noises in quantum Hall edge channels at bulk filling factor $\nu =1$

Ota¹,

Hashisaka²,

Muraki³

et al. 2017

J. Phys.: Condens. Matter

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Cross-correlation noise in electrical currents generated from a series connection of two quantum point contacts (QPCs), the injector and the detector, is described for investigating energy relaxation in quantum Hall edge channels at bulk filling factor [Formula: see text]. We address the importance of tuning the energy bias across the detector for this purpose. For a long channel with a macroscopic floating ohmic contact that thermalizes the electrons, the cross-correlation turns from negative values to the maximally positive value (identical noise in the two currents) by tuning the effective energy bias to zero. This can be understood by considering competition between the low-frequency charge fluctuation generated at the injector, which contributes positive correlation, and the partition noise at the detector, which gives negative correlation. Strikingly, even for a short channel without intentional thermalization, significantly large positive correlation is observed in contrast to negative values expected for coherent transport between the two QPCs.

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Section: Introductionmentioning

confidence: 99%

Negative and positive cross-correlations of current noises in quantum Hall edge channels at bulk filling factor $\nu =1$

Ota¹,

Hashisaka²,

Muraki³

et al. 2017

J. Phys.: Condens. Matter

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“…When the shot noise cross-correlations between two regions turn positive it signals the presence of electronic entangled states 3 . In order to make use of these correlations for quantum information purposes one would need to spatially separate the electrons without destroying the entanglement 4,5 . This is ideally detected by entangled electrons traversing different wires 6 .…”

Section: Introductionmentioning

confidence: 99%

Detecting entangled states in graphene via crossed Andreev reflection

Benjamin

Pachos

2008

Phys. Rev. B

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Shot noise cross-correlations across single layer graphene structures are calculated with insulators separating a superconducting region. A new feature of specular crossed Andreev reflection comes into play due to the unique band structure of graphene. This gives rise to a rich structure in the states of the electric current flowing across the graphene sheet. We identified a parametric regime where {\em positive} shot noise cross-correlations of the current appear signifying entanglement. In contrast to previous proposals the sign of the cross-correlations can be easily tuned by the application of a gate voltage.Comment: 5 pages, 5 figures, accepted for publication in Phys. Rev.

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“…Interest in measurements of shot noise in quantum transport has risen, owing to the possibility of extracting valuable information not available in conventional dc transport experiments [13,14]. Noise is considered as an efficient probe for testing quantum correlations in two-electron spin entangled states or electron spin teleportation [15,16].…”

mentioning

confidence: 99%

Super-Poissonian shot noise as a probe of spin bias in mesoscopic systems

Lü

Zhang

2011

J. Phys.: Condens. Matter

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It is proposed that super-Poissonian shot noise can be used to probe and measure the spin bias in mesoscopic systems. Current shot noise through a quantum dot coupled to two conducting leads is theoretically investigated when a pure spin bias is applied. It is found that super-Poissonian shot noise may be induced when the dot level is located within the spin bias window. This further demonstrates the dependence of shot noise on the dot-lead coupling asymmetry and the spin-flip scattering.

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Current Cross Correlators in Mesoscopic Conductors

Cited by 6 publications

References 31 publications

Negative and positive cross-correlations of current noises in quantum Hall edge channels at bulk filling factor $\nu =1$

Negative and positive cross-correlations of current noises in quantum Hall edge channels at bulk filling factor $\nu =1$

Detecting entangled states in graphene via crossed Andreev reflection

Super-Poissonian shot noise as a probe of spin bias in mesoscopic systems

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