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Single-electron second-order correlation function G(2) at nonzero temperatures

delete2018-09-11
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Michael Moskalets *
DOI:10.1103/PhysRevB.98.115421delete
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Abstract

Abstract

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The single-particle state is not expected to demonstrate second-order coherence. Here I analyze the injection of electrons into a conductor and show that, at a nonzero temperature, the underlying Fermi sea causes the single-particle injected state to exhibit second-order coherence. For this purpose, I calculate the second-order correlation function, G((2)), of electrons injected on top of the Fermi sea. At zero temperature, the function G((2)) unambiguously demonstrates whether the injected state is a single- or a multiparticle state: G((2)) vanishes in the former case, while it does not vanish in the latter case. However, at nonzero temperatures, when the injected state is a mixed state, a purely single-particle contribution makes the function G((2)) nonvanishing even in the case of injection of one electron. The single-particle contribution puts the lower limit on the second-order correlation function and thereby limits its use as a single-particle injection test at nonzero temperatures. The existence of a single-particle contribution to G((2)) can be verified experimentally by measuring the cross-correlation electrical noise.
Keywords:
HANBURY-BROWN
SCATTERING-THEORY
COHERENT STATES
QUANTUM OPTICS
SHOT-NOISE
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Journal

Physical Review B cover
Physical Review B
IF:
3.7
Papers:
15.4W
Citations:
41.0W

Organization

M
ministry of education & science of ukraine
Scholars:
1.5W
Papers: 9.7K
Citations: 9