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A semi-Markov process method for obtaining general counting statistics for open quantum systems is extended to the scenario of resetting. The simultaneous presence of random resets and wave function collapses means that the quantum jump…

Statistical Mechanics · Physics 2023-12-15 Fei Liu

We examine the full counting statistics of quantum dots, which display super-Poissonian shot noise. By an extension to a generic situation with many excited states we identify the underlying transport process. The statistics is a sum of…

Strongly Correlated Electrons · Physics 2007-05-23 W. Belzig

We describe a method for calculating the counting statistics of electronic transport through nanoscale devices with both sequential and cotunneling contributions. The method is based upon a perturbative expansion of the von Neumann equation…

Mesoscale and Nanoscale Physics · Physics 2012-09-10 Clive Emary

Based on our recently developed quantum transport theory in term of an exact master equation, the corresponding particle-number resolved ($n$-resolved) master equation and the related shot noise spectrum formalism covering the full…

Mesoscale and Nanoscale Physics · Physics 2012-06-12 Jinshuang Jin , Wei-Min Zhang , Xin-Qi Li , YiJing Yan

Starting from a generalization of the quantum trajectory theory (based on the stochastic Schr\"odinger equation - SSE), non-Markovian models of quantum dynamics are derived. In order to describe non-Markovian effects, the approach used in…

Quantum Physics · Physics 2012-12-27 A. Barchielli , C. Pellegrini , F. Petruccione

When simulating the dynamics of open quantum systems with quantum computers, it is essential to accurately approximate the system's behaviour while preserving the physicality of its evolution. Traditionally, for Markovian open quantum…

Quantum Physics · Physics 2025-12-18 I. J. David , I. Sinayskiy , F. Petruccione

Open quantum systems exhibit a rich phenomenology, in comparison to closed quantum systems that evolve unitarily according to the Schr\"odinger equation. The dynamics of an open quantum system are typically classified into Markovian and…

We consider current shot noise and the full counting statistics in a chain of quantum dots which exhibits a continuous non-equilibrium phase transition as a function of the tunnel couplings of the chain with the electrodes. Using a…

Mesoscale and Nanoscale Physics · Physics 2010-01-22 Torsten Karzig , Felix von Oppen

A non-equilibrium theory describing the charge qubit dynamics measured by a quantum point contact is developed based on Schwinger-Keldysh's approach. Using the real-time diagram technique, we derive the master equation to all orders in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ming-Tsung Lee , Wei-Min Zhang

We present explicit kinetic equations for quantum transport through a general molecular quantum-dot, accounting for all contributions up to 4th order perturbation theory in the tunneling Hamiltonian and the complete molecular density…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Leijnse , M. R. Wegewijs

A quantum Markovian master equation is derived to describe the current noise in resonant tunnelling devices. This equation includes both incoherent and coherent quantum tunnelling processes. We show how to obtain the population master…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. B. Sun , G. J. Milburn

In order to fully characterize the noise associated with electron transport, with its severe consequences for solid-state quantum information systems, the theory of full counting statistics has been developed. It accounts for correlation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. A. Bagrets , Y. Utsumi , D. S. Golubev , G. Schoen

We extend the second-order von Neumann approach within the generalized master equation formalism for quantum electronic transport to include the counting field. The resulting non-Markovian evolution equation for the reduced density matrix…

Mesoscale and Nanoscale Physics · Physics 2012-01-25 Philipp Zedler , Clive Emary , Tobias Brandes , Tomas Novotny

Spin-dependent transport through a multilevel quantum dot weakly coupled to ferromagnetic leads is analyzed theoretically by means of the real-time diagrammatic technique. Both the sequential and cotunneling processes are taken into…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 I. Weymann , J. Barnas

Recent experimental progress has made it possible to detect in real-time single electrons tunneling through Coulomb blockade nanostructures, thereby allowing for precise measurements of the statistical distribution of the number of…

Mesoscale and Nanoscale Physics · Physics 2010-10-07 Christian Flindt , Tomas Novotny , Alessandro Braggio , Antti-Pekka Jauho

Quantum dots are nanometer-scale semiconductor particles that exhibit size-dependent quantum mechanical properties. In this work, we investigate the dynamics of quantum correlations, quantified by the concurrence and the quantum coherence,…

We develop a comprehensive framework for characterizing fluctuations in quantum transport and nonequilibrium thermodynamics using two complementary approaches: full counting statistics and first-passage times. Focusing on open quantum…

Statistical Mechanics · Physics 2026-01-12 Paul Menczel , Christian Flindt , Fredrik Brange , Franco Nori , Clemens Gneiting

We present the results of studying the influence of different environmental states on the coherence of quantum processes. We choose to discuss a simple model which describe two electronic reservoirs connected through tunneling via a…

Condensed Matter · Physics 2009-10-28 Ping Ao , Staffan Grundberg , Jørgen Rammer

We investigate the conductance and zero-frequency shot noise of interacting, multi-level quantum dots coupled to leads. We observe that co-tunneling assisted sequential tunneling (CAST) processes play a dominant role in the transition…

Mesoscale and Nanoscale Physics · Physics 2008-05-30 Jasmin Aghassi , Matthias H. Hettler , Gerd Schön

We explore the full counting statistics of single electron tunneling through a quantum dot using a quantum point contact as non-invasive high bandwidth charge detector. The distribution of counted tunneling events is measured as a function…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. Fricke , F. Hohls , W. Wegscheider , R. J. Haug