Statistics and fluctuation theorem for boson and fermion transport through mesoscopic junctions | Zendy

Upendra Harbola | Zendy; Massimiliano Esposito | Zendy; Shaul Mukamel | Zendy

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Statistics and fluctuation theorem for boson and fermion transport through mesoscopic junctions

Author(s) -

Upendra Harbola,

Massimiliano Esposito,

Shaul Mukamel

Publication year - 2007

Publication title -

physical review b

Language(s) - English

Resource type - Journals

eISSN - 1538-4489

pISSN - 1098-0121

DOI - 10.1103/physrevb.76.085408

Subject(s) - mesoscopic physics , boson , fermion , physics , logarithm , quantum statistical mechanics , statistics , quantum mechanics , master equation , quantum , transfer (computing) , constant (computer programming) , mathematical physics , mathematical analysis , mathematics , computer science , programming language , parallel computing

The statistical properties of quantum particles moving between two heat reservoirs at different temperatures are studied by solving the quantum master equation using a generating function technique. Bosons and fermions satisfy the same fluctuation theorem: Logarithm of the ratio of the probabilities of forward and backward transports reaches a constant value at long times, with an asymptotic ∼1t correction. Non-Poissonian transfer statistics (bunching for bosons and antibunching for fermions) are examined using the Mandel parameter. These come primarily from the tail of the distribution corresponding to transfer of large number of particles, k k. © 2007 The American Physical Society.SCOPUS: ar.jinfo:eu-repo/semantics/publishe

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