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We present a numerical path-integral iteration scheme for the low dimensional reduced density matrix of a time-dependent quantum dissipative system. Our approach simultaneously accounts for the combined action of a microscopically modelled…

Quantum Physics · Physics 2016-10-12 A. M. Barth , A. Vagov , V. M. Axt

We present an investigation of the energy dependence of the full charge counting statistics in diffusive normal-insulating-normal-insulating-superconducting junctions. It is found that the current in general is transported via a correlated…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Samuelsson

We demonstrate theoretically how photon number statistics of a driven, damped oscillator at finite temperature can be extracted by measuring the dephasing spectrum of a two-level system dispersively coupled to the oscillator; we thus extend…

Mesoscale and Nanoscale Physics · Physics 2010-12-10 A. A. Clerk , D. Wahyu Utami

We propose to describe correlations in classical and quantum systems in terms of full counting statistics of a suitably chosen discrete observable. The method is illustrated with two exactly solvable examples: the classical one-dimensional…

Strongly Correlated Electrons · Physics 2013-04-16 Dmitri A. Ivanov , Alexander G. Abanov

The present paper outlines a basic theoretical treatment of decoherence and dephasing effects in interferometry based on single component BEC in double potential wells, where two condensate modes may be involved. Results for both two mode…

Quantum Gases · Physics 2015-06-24 B. J. Dalton

We theoretically study the conditional counting statistics of electron transport through a system consisting of a single quantum dot (SQD) or coherently coupled double quantum dots (DQD's) monitored by a nearby quantum point contact (QPC)…

Mesoscale and Nanoscale Physics · Physics 2017-12-01 Yen-Jui Chang , Tsung-Kang Yeh , Chao-Hung Wan , D. Wahyu Utami , Gerard J. Milburn , Hsi-Sheng Goan

Measuring physical observables requires averaging experimental outcomes over numerous identical measurements. The complete distribution function of possible outcomes or its Fourier transform, known as the full counting statistics, provides…

Quantum Gases · Physics 2024-09-17 Chang-Yan Wang , Tian-Gang Zhou , Yi-Neng Zhou , Pengfei Zhang

We generalize the stochastic path integral formalism by considering Hamiltonian dynamics in the presence of general Markovian noise. Kramers' solution of the activation rate for escape over a barrier is generalized for non-Gaussian driving…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eugene V. Sukhorukov , Andrew N. Jordan

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…

Statistical Mechanics · Physics 2012-12-21 Sam Genway , James M. Hickey , Juan P. Garrahan , Andrew D. Armour

We present an original statistical method to measure the visibility of interferences in an electronic Mach-Zehnder interferometer in the presence of low frequency fluctuations. The visibility presents a single side lobe structure shown to…

Mesoscale and Nanoscale Physics · Physics 2008-03-17 Preden Roulleau , F. Portier , D. C. Glattli , P. Roche , A. Cavanna , G. Gaini , U. Gennser , D. Mailly

We study the full-counting statistics of charges transmitted through a single-level quantum dot weakly coupled to a local Einstein phonon which causes fluctuations in the dot energy. An analytic expression for the cumulant generating…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Y. Utsumi , O. Entin-Wohlman , A. Ueda , A. Aharony

A central feature of quantum metrology is the possibility of Heisenberg scaling, a quadratic improvement over the limits of classical statistics. This scaling, however, is notoriously fragile to noise. While for some noise types it can be…

Quantum Physics · Physics 2022-06-08 Giulio Chiribella , Xiaobin Zhao

We investigate the full counting statistics of a single quantum dot strongly coupled to a local phonon and weakly tunnel-connected to two metallic electrodes. By employing the generalized nonequilibrium Green function method and the…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Bing Dong , G. H. Ding , X. L. Lei

We study charge detection and controlled dephasing of a mesoscopic system via a quantum dot detector (QDD), where the mesoscopic system and the QDD are capacitively coupled. The QDD is considered to have coherent resonant tunnelling via a…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Gyong Luck Khym , Youngnae Lee , Kicheon Kang

Two problems are addressed for the path of certain stochastic processes: a) do they define currents? b) are these currents of a classical type? A general answer to question a) is given for processes like semimartingales or with Lyons-Zheng…

We study numerically the influence of momentum-conserving dephasing on the transport in a disordered chain of scatterers. Loss of phase memory is caused by coupling the transport channels to dephasing reservoirs. In contrast to previously…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 I. Knittel , F. Gagel , M. Schreiber

In the hot electron regime, electron-electron scattering strongly modifies not only the shot noise but also the full counting statistics. We employ a method based on a stochastic path integral to calculate the counting statistics of two…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Pilgram

We have studied the zero-temperature statistics of the charge transfer between the two edges of Quantum Hall liquids of, in general, different filling factors, $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, forming Mach-Zehnder…

Strongly Correlated Electrons · Physics 2015-05-18 V. V. Ponomarenko , D. V. Averin

A simple statistical model for the effects of dephasing on electron transport in one-dimensional quantum systems is introduced, which allows to adjust the degree of phase and momentum randomization independently. Hence, the model is able to…

Mesoscale and Nanoscale Physics · Physics 2012-07-30 Thomas Stegmann , Matías Zilly , Orsolya Ujsághy , Dietrich E. Wolf

We study electron transport through a triple quantum dot in ring configuration at finite bias. In particular, we analyze the influence of a gate voltage that detunes one of the dots, such that one branch of the interferometer becomes…

Mesoscale and Nanoscale Physics · Physics 2011-01-11 Fernando Domínguez , Gloria Platero , Sigmund Kohler
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