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Beyond the rotating-wave approximation, the dynamics of a quantum oscillator interacting strongly and off-resonantly with a two-level system exhibit beatings, whose period equals the revival time of the two-level system. On a longer time…

Mesoscale and Nanoscale Physics · Physics 2009-07-10 Titus Sandu

We present a formalism for studying the behaviour of quantum systems coupled to nonequilibrium environments exhibiting nonGaussian fluctuations. We discuss the role of a qubit as a detector of the statistics of environmental fluctuations,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Clive Emary

When combining lumped mesoscopic electronic components to form a circuit, quantum fluctuations of electrical quantities lead to a non-linear electromagnetic interaction between the components that is not generally understood. The…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 C. Altimiras , F. Portier , P. Joyez

We consider the dissipative dynamics of a qubit coupled to a nonlinear oscillator (NO) embedded in an Ohmic environment. By treating the nonlinearity up to first order and applying Van Vleck perturbation theory up to second order in the…

Quantum Physics · Physics 2009-12-03 Carmen Vierheilig , Johannes Hausinger , Milena Grifoni

The thermodynamic implications for the out-of-equilibrium dynamics of quantum systems are to date largely unexplored, especially for quantum many-body systems. In this paper we investigate the paradigmatic case of an array of…

The uncertainty principle guarantees a non-zero value for the positional uncertainty, $\left\langle \Delta x^2\right\rangle > 0$, even without thermal fluctuations. This implies that quantum fluctuations inherently enhance positional…

Statistical Mechanics · Physics 2025-09-08 Harukuni Ikeda

We investigate the effect of dissipation on a small quantum dot (resonant level) tunnel-coupled to a chiral Luttinger liquid (LL) with the LL parameter $K$. The dissipation stems from the coupling of the dot to an electric environment,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Karyn Le Hur , Mei-Rong Li

We study systems of coupled spin-gapped and gapless Luttinger liquids. First, we establish the existence of a sliding Luttinger liquid phase for a system of weakly coupled parallel quantum wires, with and without disorder. It is shown that…

Strongly Correlated Electrons · Physics 2009-11-07 Ranjan Mukhopadhyay , C. L. Kane , T. C. Lubensky

We introduce thermometers to define the local temperature of an electronic system driven out-of-equilibrium by local AC fields. We also define the effective temperature in terms of a local fluctuation-dissipation-relation. We show that…

Mesoscale and Nanoscale Physics · Physics 2011-03-31 Alvaro Caso , Liliana Arrachea , Gustavo S. Lozano

We generalize the oscillator model of a particle interacting with a thermal reservoir by introducing arbitrary nonlinear couplings in the particle coordinates.The equilibrium positions of the heat bath oscillators are promoted to space-time…

High Energy Physics - Theory · Physics 2009-10-28 F. Illuminati , M. Patriarca , P. Sodano

We solve the model of N quantum Brownian oscillators linearly coupled to an environment of quantum oscillators at finite temperature, with no extra assumptions about the structure of the system-environment coupling. Using a compact…

Quantum Physics · Physics 2011-06-29 C. H. Fleming , Albert Roura , B. L. Hu

The temperature-dependent nonlinear conductance for transport of a Luttinger liquid through a barrier is calculated in the nonperturbative regime for $g=1/2-\epsilon$, where $g$ is the dimensionless interaction constant. To describe the…

Condensed Matter · Physics 2009-10-28 Ulrich Weiss , Reinhold Egger , Maura Sassetti

We develop a kinetic theory for strongly correlated disordered one-dimensional electron systems out of equilibrium, within the Luttinger liquid model. In the absence of inhomogeneities, the model exhibits no relaxation to equilibrium. We…

Strongly Correlated Electrons · Physics 2009-09-25 D. A. Bagrets , I. V. Gornyi , D. G. Polyakov

Although nonequilibrium work and fluctuation relations have been studied in detail within classical statistical physics, extending these results to open quantum systems has proven to be conceptually difficult. For systems that undergo…

We study the non-equilibrium dynamics of the Luttinger model after suddenly turning on and off the bare Coulomb interaction between the fermions. We analyze several correlation functions such as the one particle density matrix and vertex…

Strongly Correlated Electrons · Physics 2015-06-12 N. Nessi , A. Iucci

A one-dimensional system of interacting electrons out of equilibrium is studied in the framework of the Luttinger liquid model. We analyze several setups and develop a theory of tunneling into such systems. A remarkable property of the…

Mesoscale and Nanoscale Physics · Physics 2009-03-22 D. B. Gutman , Yuval Gefen , A. D. Mirlin

We develop a theory of tunneling spectroscopy of interacting electrons in a non-equilibrium quantum wire coupled to reservoirs. The problem is modelled as an out-of-equilibrium Luttinger liquid with spatially dependent interaction. The…

Mesoscale and Nanoscale Physics · Physics 2009-07-09 D. B. Gutman , Yuval Gefen , A. D. Mirlin

We explore the low-frequency noise of interacting electrons in a one-dimensional structure (quantum wire or interaction-coupled edge states) with counterpropagating modes, assuming a single channel in each direction. The system is driven…

Strongly Correlated Electrons · Physics 2015-10-20 J. K. Kühne , I. V. Protopopov , Y. Oreg , A. D. Mirlin

Split-gate constrictions can be used to produce controllable scattering in a fractional quantum Hall state and constitute a very versatile model system for the investigation of non-Fermi physics in edge states. Controllable inter-edge…

Mesoscale and Nanoscale Physics · Physics 2009-03-24 Stefano Roddaro , Vittorio Pellegrini , Fabio Beltram

The ac-transport properties of a one-dimensional quantum dot with non-Fermi liquid correlations are investigated. It is found that the linear photoconductance is drastically influenced by the interaction. Temperature and voltage dependences…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Vicari , A. Braggio , E. Galleani d'Agliano , M. Sassetti