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We investigate the transport properties of an anharmonic oscillator, modeled by a single-site Bose-Hubbard model, coupled to two different thermal baths using the numerically exact thermofield based chain-mapping matrix product states…

Quantum Gases · Physics 2020-08-18 Tianqi Chen , Vinitha Balachandran , Chu Guo , Dario Poletti

We address the problem of heat transport in a chain of coupled quantum harmonic oscillators, exposed to the influences of local environments of various nature, stressing the effects that the specific nature of the environment has on the…

Quantum Physics · Physics 2015-04-16 F. Nicacio , A. Ferraro , A. Imparato , M. Paternostro , F. L. Semião

We design fast trajectories of a trap to transport two ions using a shortcut-to-adiabaticity technique based on invariants. The effects of anharmonicity are analyzed first perturbatively, with an approximate, single relative-motion mode,…

Quantum Physics · Physics 2013-11-22 M. Palmero , E. Torrontegui , D. Guéry-Odelin , J. G. Muga

We consider the stationary states of a chain of $n$ anharmonic coupled oscillators, whose deterministic hamiltonian dynamics is perturbed by random independent sign change of the velocities (a random mechanism that conserve energy). The…

Statistical Mechanics · Physics 2015-05-28 Cedric Bernardin , Stefano Olla

We study non-equilibrium properties of a chain of $N$ oscillators with both long-ranged harmonic interactions and long-range conservative noise that exchange momenta of particle pairs. We derive exact expressions for the (deterministic)…

Statistical Mechanics · Physics 2025-01-14 Francesco Andreucci , Stefano Lepri , Carlos Mejía-Monasterio , Stefano Ruffo

We study heat transport in a chain of harmonic oscillators with random elastic collisions between nearest-neighbours. The equations of motion of the covariance matrix are numerically solved for free and fixed boundary conditions. In the…

Statistical Mechanics · Physics 2010-11-10 L. Delfini , S. Lepri , R. Livi , C. Mejia-Monasterio , A. Politi

After reviewing the main features of anomalous energy transport in 1D systems, we report simulations performed with chains of noisy anharmonic oscillators. The stochastic terms are added in such a way to conserve total energy and momentum,…

Statistical Mechanics · Physics 2008-01-25 G. Basile , L. Delfini , S. Lepri , R. Livi , S. Olla , A. Politi

This Chapter contains an overview of the effects of nonlinear interactions in selected problems of non-equilibrium statistical mechanics. Most of the emphasis is put on open setups, where energy is exchanged with the environment. With…

Pattern Formation and Solitons · Physics 2020-06-23 Stefano Iubini , Stefano Lepri , Roberto Livi , Antonio Politi , Paolo Politi

This study investigates the dynamics of quantum information and computational resources using a tractable model of coupled harmonic oscillators. We precisely characterize the interplay between mutual information, synchronization, and…

Quantum Physics · Physics 2026-01-06 Reza Pirmoradian , M Reza Tanhayi

We study the equilibrium, oscillatory and transport properties of a chain of charged particles which interact with each other via the Coulomb and power-like repulsive interactions. Exact, analytical expressions for the energy of the ground…

Soft Condensed Matter · Physics 2007-05-23 S. I. Denisov , E. S. Denisova

We study charge and energy transfer in two-site molecular electronic junctions in which electron transport is assisted by a vibrational mode. To understand the role of mode harmonicity/anharmonicity on transport behavior, we consider two…

Mesoscale and Nanoscale Physics · Physics 2015-09-01 Bijay Kumar Agarwalla , Jian-Hua Jiang , Dvira Segal

Vibrational energy transfer of the amide I mode of N-methylacetamide (NMA) is studied theoretically using the vibrational configuration interaction method. A quartic force field of NMA is constructed at the B3LYP/6-31G+(d) level of theory…

Biomolecules · Quantitative Biology 2009-11-13 Hiroshi Fujisaki , Kiyoshi Yagi , Kimihiko Hirao , John E. Straub

Adiabatic quantum computation employs a slow change of a time-dependent control function (or functions) to interpolate between an initial and final Hamiltonian, which helps to keep the system in the instantaneous ground state. When the…

Quantum Physics · Physics 2014-06-26 Constantin Brif , Matthew D. Grace , Mohan Sarovar , Kevin C. Young

We study inelastic vibration-assisted charge transfer effects in two-site molecular junctions, focusing on signatures of vibrational anharmonicity on the electrical characteristics and the thermoelectric response of the junction. We…

Statistical Mechanics · Physics 2017-12-27 Hava Meira Friedman , Bijay Kumar Agarwalla , Dvira Segal

In this article we review aspects of charge and heat transport in interacting quantum dots and molecular junctions under stationary and time-dependent non-equilibrium conditions due to finite electrical and thermal bias. In particular, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 F. Haupt , M. Leijnse , H. L. Calvo , L. Classen , J. Splettstoesser , M. R. Wegewijs

A protocol of quantum energy teleportation is proposed for a one-dimensional harmonic chain. A coherent-state POVM measurement is performed to coupled oscillators of the chain in the ground state accompanied by energy infusion to the…

Quantum Physics · Physics 2015-05-19 Yasusada Nambu , Masahiro Hotta

Adiabatic transport provides a powerful way to manipulate quantum states. By preparing a system in a readily initialised state and then slowly changing its Hamiltonian, one may achieve quantum states that would otherwise be inaccessible.…

Quantum Physics · Physics 2015-02-13 P. J. D. Crowley , T. Duric , W. Vinci , P. A. Warburton , A. G. Green

We solve the nonequilibrium dynamics of qubits or quantum spin chains (s=1/2) modeled by an anisotropic XY Hamiltonian, when the initial condition is prepared as a spatially inhomogeneous state of the magnetization. Infinite systems are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Tygel , J. G. Carvalho , G. G. Cabrera

It is a fundamental problem to characterize the nonequilibrium processes. For a slowly moving one-dimensional potential, we explore the quasi adiabatic dynamics of the initial energy eigenstates for a confined quantum system interacting…

Statistical Mechanics · Physics 2017-10-11 Takaaki Monnai

An elementary excitation in an aggregate of coupled particles generates a collective excited state. We show that the dynamics of these excitations can be controlled by applying a transient external potential which modifies the phase of the…

Quantum Physics · Physics 2013-06-14 Ping Xiang , Marina Litinskaya , Evgeny A. Shapiro , Roman V. Krems
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