Full counting statistics for noninteracting fermions: exact finite-temperature results and generalized long-time approximation

Schönhammer, K.

doi:10.1088/0953-8984/21/49/495306

Cited by 17 publications

(16 citation statements)

References 15 publications

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“…It was first derived by Levitov and Lesovik 46,47 following a wave scattering approach. It was later derived by employing different rigorous approaches 29,35,[48][49][50][51] . The joint CGF is given as…”

Section: Thermal Transport Of Noninteracting Electrons: Tur Violatmentioning

confidence: 99%

Thermodynamic uncertainty relation in thermal transport

et al. 2019

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We use the fundamental nonequilibrium steady state fluctuation symmetry and derive a condition on the validity of the thermodynamic uncertainty relation (TUR) in thermal transport problems, classical or quantum alike. We test this condition and study the breakdown of the TUR in different thermal transport junctions of bosonic and electronic degrees of freedom. First, we prove that the TUR is valid in harmonic oscillator junctions. In contrast, in the nonequilibrium spin-boson model, which realizes many-body effects, it is satisfied in the Markovian limit, but violations arise as we tune (reduce) the cutoff frequency of the thermal baths, thus observing non-Markovian dynamics. Finally, we consider heat transport by noninteracting electrons in a tight-binding chain model. Here we show that the TUR is feasibly violated by tuning e.g. the hybridization energy of the chain to the metal leads. These results manifest that the validity of the TUR relies on the statistics of the participating carriers, their interaction, and the nature of their couplings to the macroscopic contacts (metal electrodes, phonon baths).

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Section: Thermal Transport Of Noninteracting Electrons: Tur Violatmentioning

confidence: 99%

Thermodynamic uncertainty relation in thermal transport

et al. 2019

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“…This is referred to as full counting statistics (FCS) in literature. The moment generating function χ(λ, t) of the number of transferred fermions N (t) in this context has been investigated in a series of studies [15,28,29,16,17] and many others. For the case of free fermion at zero temperature T = 0, it is known to be written in a form of determinant,…”

Section: Full Counting Statistics and Random Matrix Analogymentioning

confidence: 99%

Exact large deviation function of spin current for the one dimensional XX spin chain with domain wall initial condition

Hiroki¹,

Nagao²,

Sasamoto³

2019

J. Stat. Mech.

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We investigate the fluctuations of the spin current for the onedimensional XX spin chain starting from the domain wall initial condition. The generating function of the current is shown to be written as a determinant with the Bessel kernel. An exact analytical expression for the large deviation function is obtained by applying the Coulomb gas method. Our results are also compared with DMRG calculations. * hmoriya@stat.phys.titech.ac.jp

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“…The FCS has previously been investigated for such systems without an external driving. [55][56][57][58] Here we extend the approach to timedependent Hamiltonians (see also Refs. [59][60][61].…”

Section: Introductionmentioning

confidence: 99%

Entanglement entropy in dynamic quantum-coherent conductors

Thomas

Flindt

2015

Phys. Rev. B

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We investigate the entanglement and the Rényi entropies of two electronic leads connected by a quantum point contact. For non-interacting electrons, the entropies can be related to the cumulants of the full counting statistics of transferred charge which in principle are measurable. We consider the entanglement entropy generated by operating the quantum point contact as a quantum switch which is opened and closed in a periodic manner. Using a numerically exact approach we analyze the conditions under which a logarithmic growth of the entanglement entropy predicted by conformal field theory should be observable in an electronic conductor. In addition, we consider clean singleparticle excitations on top of the Fermi sea (levitons) generated by applying designed pulses to the leads. We identify a Hong-Ou-Mandel-like suppression of the entanglement entropy by interfering two levitons on a quantum point contact tuned to half transmission.

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Full counting statistics for noninteracting fermions: exact finite-temperature results and generalized long-time approximation

Cited by 17 publications

References 15 publications

Thermodynamic uncertainty relation in thermal transport

Thermodynamic uncertainty relation in thermal transport

Exact large deviation function of spin current for the one dimensional XX spin chain with domain wall initial condition

Entanglement entropy in dynamic quantum-coherent conductors

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