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Using Feynman path integral technique estimations of the ground state energy have been found for a conduction electron interacting with order parameter fluctuations near quantum critical points. In some cases only \textit{singular}…

Statistical Mechanics · Physics 2009-11-11 M. I. Auslender , M. I. Katsnelson

We look at the time dependent fluctuations of the electrical charge in an open 1D quantum system represented by a quantum dot experiencing random lateral motion. In essentially non-adiabatic settings we study both diffusive and ballistic…

Chaotic Dynamics · Physics 2016-04-19 Stanislav Derevyanko , Daniel Waltner

We generalize the decay cascade model of charge capture statistics for a tunable-barrier non-adiabatic electron pump dominated by the backtunneling error at the quantum dot decoupling stage. The energy scales controlling the competition…

Mesoscale and Nanoscale Physics · Physics 2015-01-13 Vyacheslavs Kashcheyevs , Janis Timoshenko

We consider the nonadiabatic energy fluctuations of a many-body system in a time-dependent harmonic trap. In the presence of scale-invariance, the dynamics becomes self-similar and the nondiabatic energy fluctuations can be found in terms…

Quantum Physics · Physics 2020-05-05 Mathieu Beau , Adolfo del Campo

We present a low-temperature experimental test of the fluctuation theorem for electron transport through a double quantum dot. The rare entropy-consuming system trajectories are detected in the form of single charges flowing against the…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 B. Küng , C. Rössler , M. Beck , M. Marthaler , D. S. Golubev , Y. Utsumi , T. Ihn , K. Ensslin

Quantum control of the wave function of two interacting electrons confined in quasi-one-dimensional double-well semiconductor structures is demonstrated. The control strategies are based on the knowledge of the energy spectrum as a function…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. E. Murgida , D. A. Wisniacki , P. I. Tamborenea

We present a diagrammatic real-time approach to adiabatic pumping of electrons through interacting quantum dots. Performing a systematic perturbation expansion in the tunnel-coupling strength, we compute the charge pumped through a…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Janine Splettstoesser , Michele Governale , Jürgen König , Rosario Fazio

We analyze the dynamics of a single-level quantum dot with Coulomb interaction, weakly tunnel coupled to an electronic reservoir, after it has been brought out of equilibrium, e.g. by a step-pulse potential. We investigate the exponential…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 L. Debora Contreras-Pulido , Janine Splettstoesser , Michele Governale , Jürgen König , Markus Büttiker

An interacting one-dimensional electron system, the Luttinger liquid, is distinct from the "conventional" Fermi liquids formed by interacting electrons in two and three dimensions. Some of its most spectacular properties are revealed in the…

A novel method of coherent manipulation of the electron tunneling in quantum-dots is proposed, which utilizes the quantum interference in nonadiabatic double-crossing of the discrete energy levels. In this method, we need only a smoothly…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Keiji Saito , Yosuke Kayanuma

We study non-adiabatic two-parameter charge and spin pumping through a single-level quantum dot with Coulomb interaction. For the limit of weak tunnel coupling and in the regime of pumping frequencies up to the tunneling rates, $\Omega…

Mesoscale and Nanoscale Physics · Physics 2011-10-10 Fabio Cavaliere , Michele Governale , Jürgen König

The existence of multiple energy scales is regarded as a signature of the Kondo breakdown mechanism for explaining the quantum critical behavior of certain heavy fermion compounds, like YbRh$_{2}$Si$_{2}$. The nature of the intermediate…

Strongly Correlated Electrons · Physics 2012-04-13 Minh-Tien Tran , A. Benlagra , C. Pépin , Ki-Seok Kim

It has long been thought that strongly correlated systems are adiabatically connected to their noninteracting counterpart. Recent developments have highlighted the fallacy of this traditional notion in a variety of settings. Here we use a…

Strongly Correlated Electrons · Physics 2021-02-02 Silke Paschen , Qimiao Si

We exploit the concept of Landau-Zener transitions at avoided energy crossings as a quantum-control tool. In an avoided crossing the two quantum states interchange their characteristics as an external parameter is varied. Depending on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. A. Wisniacki , G. E. Murgida , P. I. Tamborenea

The role of quantum fluctuations in modifying the critical behavior of non-equilibrium phase transitions is a fundamental but unsolved question. In this study, we examine the absorbing state phase transition of a 1D chain of qubits…

Statistical Mechanics · Physics 2024-07-02 Nastasia Makki , Nicolai Lang , Hans Peter Büchler

We derive an $n$-resolved Master equation for quantum transport that includes a dependence on the number $n$ of tunneled electrons in system parameters such as tunnel rates and energy levels. We apply the formalism to describe dynamical…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. Schubotz , T. Brandes

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

Exploiting the relative entropy of coherence, we isolate the coherent contribution in the energetics of a driven non-equilibrium quantum system. We prove that a division of the irreversible work can be made into a coherent and incoherent…

Quantum Physics · Physics 2019-04-10 G. Francica , J. Goold , F. Plastina

Coherent electron transfer from a localized state trapped in a quantum dot into a ballistic conductor, taking place in on-demand electron sources, in general may result in excitation of particle-hole pairs. We consider a simple model for…

Mesoscale and Nanoscale Physics · Physics 2008-11-07 J. Keeling , A. V. Shytov , L. S. Levitov

Coulomb blockade phenomena and quantum fluctuations are studied in mesoscopic metallic tunnel junctions with high charging energies. If the resistance of the barriers is large compared to the quantum resistance, transport can be described…

Condensed Matter · Physics 2009-10-22 Herbert Schoeller , Gerd Schoen
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