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We calculate the full counting statistics (FCS) of a subsystem energy in free fermionic systems by means of the Grassmann variables. We demonstrate that the generating function of these systems can be written as a determinant formula with…

强关联电子 · 物理学 2017-12-18 Khadijeh Najafi , M. A. Rajabpour

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) is a dynamical generalisation of the free energy, encapsulating detailed information about the distribution and large-scale correlation functions of conserved charges and their associated currents. In this…

统计力学 · 物理学 2026-01-09 Botond C. Nagy , Marton Kormos , Gabor Takacs

We exploit the knowledge of the entanglement spectrum in the ground state of the gapped XXZ spin chain to derive asymptotic exact results for the full counting statistics of the transverse magnetisation in a spin block of length. We found…

统计力学 · 物理学 2020-05-28 Pasquale Calabrese , Mario Collura , Giuseppe Di Giulio , Sara Murciano

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…

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 consider the full probability distribution for the transverse magnetization of a finite subsystem in the transverse field Ising chain. We derive a determinant representation of the corresponding characteristic function for general…

统计力学 · 物理学 2018-07-04 Stefan Groha , Fabian H. L. Essler , Pasquale Calabrese

Provided the measuring time is short enough, the full counting statistics (FCS) of the charge pumped across a barrier as a result of a series of voltage pulses are shown to be equivalent to the geometry of two planes. This formulation leads…

介观与纳米尺度物理 · 物理学 2009-11-13 Y. B. Sherkunov , A. Pratap , B. Muzykantskii , N. d'Ambrumenil

The spin-1/2 Heisenberg chain exhibits a quantum critical regime characterized by quasi long-range magnetic order at zero temperature. We quantify the strength of quantum fluctuations in the ground state by determining the probability…

统计力学 · 物理学 2017-10-11 Mario Collura , Fabian H. L. Essler , Stefan Groha

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

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

The full counting statistics (FCS) of current has long provided fundamental insights into nonequilibrium systems. Recently, the FCS in quantum many-body systems has attracted growing attention, driven by rapid experimental progress in…

统计力学 · 物理学 2026-05-19 Taiki Ishiyama , Kazuya Fujimoto , Tomohiro Sasamoto

We study the full counting statistics (FCS) and symmetry-resolved entanglement entropies of integer and fractional quantum Hall states. For the filled lowest Landau level of spin-polarized electrons on an infinite cylinder, we compute…

强关联电子 · 物理学 2022-05-16 Blagoje Oblak , Nicolas Regnault , Benoit Estienne

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

The joint probability distribution in the full counting statistics (FCS) for noninteracting electrons is discussed for an arbitrary number of initially separate subsystems which are connected at t=0 and separated at a later time. A simple…

介观与纳米尺度物理 · 物理学 2015-05-13 L. Inhester , K. Schonhammer

We discuss the Full Counting Statistics of non-commuting variables with the measurement of successive spin counts in non-collinear directions taken as an example. We show that owing to an irreducible detector back-action, the FCS in this…

介观与纳米尺度物理 · 物理学 2007-05-23 Antonio Di Lorenzo , Gabriele Campagnano , Yuli V. Nazarov

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

We study the trace of the exponentials of general fermion bi-linears, including pairing terms, and including non Hermitian forms. In particular, we give elementary derivations for determinant and pfaffian formulae for such traces, and use…

介观与纳米尺度物理 · 物理学 2015-06-19 Israel Klich

We study the full counting statistics of interferometers for chiral Majorana fermions with two incoming and two outgoing Dirac fermion channels. In the absence of interactions, the FCS can be obtained from the $4\times4$ scattering matrix…

介观与纳米尺度物理 · 物理学 2015-09-22 Gregory Struebi , Wolfgang Belzig , Thomas L. Schmidt , Christoph Bruder
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