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Due to its probabilistic nature, a measurement process in quantum mechanics produces a distribution of possible outcomes. This distribution - or its Fourier transform known as full counting statistics (FCS) - contains much more information…

统计力学 · 物理学 2023-10-09 Bruno Bertini , Pasquale Calabrese , Mario Collura , Katja Klobas , Colin Rylands

Performing quantum measurements produces not only the expectation value of a physical observable $O$ but also the probability distribution $P(o)$ of all possible outcomes $o$. The full counting statistics (FCS) $Z(\phi, O)\equiv \sum_o…

量子物理 · 物理学 2023-09-12 Tian-Gang Zhou , Yi-Neng Zhou , Pengfei Zhang

We present a thermodynamic formalism to study the full counting statistics (FCS) of charge transport through a quantum dot coupled to two leads in the resonant-level model. We show that a close analogue of equilibrium phase transitions…

统计力学 · 物理学 2012-12-21 Sam Genway , James M. Hickey , Juan P. Garrahan , Andrew D. Armour

We present a scalable protocol for measuring full counting statistics (FCS) in experiments or tensor-network simulations. In this method, an ancilla in the middle of the system acts as a turnstile, with its phase keeping track of the…

We have measured the full counting statistics (FCS) of current fluctuations in a semiconductor quantum dot (QD) by real-time detection of single electron tunneling with a quantum point contact (QPC). This method gives direct access to the…

介观与纳米尺度物理 · 物理学 2009-11-11 S. Gustavsson , R. Leturcq , B. Simovic , R. Schleser , T. Ihn , P. Studerus , K. Ensslin , D. C. Driscoll , A. C. Gossard

Time-dependent driving influences the quantum and thermodynamic fluctuations of a system, changing the familiar physical picture of electronic noise which is an important source of information the about microscopic mechanism of quantum…

介观与纳米尺度物理 · 物理学 2020-11-25 Thomas D. Honeychurch , Daniel S. Kosov

The Full Counting Statistics (FCS) is studied for a one-dimensional system of non-interacting fermions with and without disorder. For two unbiased $L$ site lattices connected at time $t=0$, the charge variance increases as the natural…

介观与纳米尺度物理 · 物理学 2013-05-30 G. C. Levine , M. J. Bantegui , J. A. Burg

Full counting statistics (FCS) for the transport through a molecular quantum dot magnet is studied theoretically in the incoherent tunneling regime. We consider a model describing a single-level quantum dot, magnetically coupled to an…

介观与纳米尺度物理 · 物理学 2009-11-11 Ken-Ichiro Imura , Yasuhiro Utsumi , Thierry Martin

Full counting statistics (FCS) of charge transfer in mesoscopic systems has recently become a subject of significant interest, since it proves to reveal an important information about the system which can be hardly assessed by other means.…

介观与纳米尺度物理 · 物理学 2009-11-07 D. A. Bagrets , Yu. V. Nazarov

Quantum transport is often characterized not just by mean observables like the particle or energy current, but by their fluctuations and higher moments, which can act as detailed probes of the physical mechanisms at play. However,…

介观与纳米尺度物理 · 物理学 2024-08-20 Ido Zemach , Andre Erpenbeck , Emanuel Gull , Guy Cohen

Unless constrained by symmetry, measurement of an observable on an ensemble of identical quantum systems returns a distribution of values which are encoded in the full counting statistics. While the mean value of this distribution is…

统计力学 · 物理学 2024-04-03 David X. Horvath , Colin Rylands

Full-counting statistics (FCS) provides a powerful framework to access the statistical information of a system from the characteristic function. However, applications of FCS for generic interacting quantum systems often be hindered by the…

量子物理 · 物理学 2024-01-25 Yun-Zhuo Fan , Dan-Bo Zhang

We point out the similarities in the definition of the `fidelity' of a quantum system and the generating function determining the full counting statistics of charge transport through a quantum wire and suggest to use flux- or charge qubits…

介观与纳米尺度物理 · 物理学 2007-05-23 G. B. Lesovik , F. Hassler , G. Blatter

We developed a theoretical framework which extends the method of \textit{full counting statistics} (FCS) from conventional single channel Kondo screening schemes to multi-channel Kondo paradigm. The developed idea of FCS has been…

介观与纳米尺度物理 · 物理学 2018-10-30 D. B. Karki , Mikhail N. Kiselev

In quantum mechanics, the probability distribution function (PDF) and full counting statistics (FCS) play a fundamental role in characterizing the fluctuations of quantum observables, as they encode the complete information about these…

量子物理 · 物理学 2025-10-29 Lata Kh Joshi , Filiberto Ares , Manoj K. Joshi , Christian F. Roos , Pasquale Calabrese

We develop a theory for the full counting statistics (FCS) for a class of nanoelectromechanical systems (NEMS), describable by a Markovian generalized master equation. The theory is applied to two specific examples of current interest:…

介观与纳米尺度物理 · 物理学 2007-05-23 Christian Flindt , Tomas Novotny , Antti-Pekka Jauho

We analyze the full counting statistics (FCS) of a single-site quantum dot coupled to multiple metallic electrodes in the normal state and a superconductor for arbitrary transmission. We present an analytical solution of the problem taking…

介观与纳米尺度物理 · 物理学 2011-09-22 H. Soller , A. Komnik

The full counting statistics of charge transport is the probability distribution $p_n(t_m)$ that $n$ electrons have flown through the system in measuring time $t_m$. The cumulant generating function (CGF) of this distribution $F(\chi,t_m)$…

介观与纳米尺度物理 · 物理学 2015-11-05 Sam T. Carr , Peter Schmitteckert , Hubert Saleur

Precision, robustness, and efficiency are crucial aspects in the design of quantum technologies. Here, we show how genuine quantum features, together with non-Gaussianity, can be the key elements to achieve the best of these three aspects…

量子物理 · 物理学 2026-01-21 Davide Rinaldi , Radim Filip , Dario Gerace , Giacomo Guarnieri

We analyse the zero temperature Full Counting Statistics (FCS) for the charge transfer across a biased tunnel junction. We find the FCS from the eigenvalues of the density matrix of outgoing states of one lead. In the general case of a…

介观与纳米尺度物理 · 物理学 2011-08-23 Jin Zhang , Y. Sherkunov , N. d'Ambrumenil , B. Muzykantskii
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