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We study nonlinear phonon excitations in a one-dimensional quantum nonlinear lattice model using numerical exact diagonalization. We find that multi-phonon bound states exist as eigenstates which are natural counterparts of breather…

Condensed Matter · Physics 2009-10-28 W. Z. Wang , J. Tinka Gammel , A. R. Bishop , M. I. Salkola

We derive a closed set of equations for the kinetics and non-equilibrium dynamics of interacting Luttinger Liquids with cubic resonant interactions. In the presence of these interactions, the Luttinger phonons become dressed but still well…

Quantum Gases · Physics 2015-10-07 Michael Buchhold , Sebastian Diehl

A chain of interacting particles subject also to a nonlinear on-site potential admits stable soliton-like configurations : static kinks. The linear normal-modes around such a kink contain a discrete set of localized, gap-separated modes.…

Quantum Physics · Physics 2010-02-02 H. Landa

We present a Quantum Monte Carlo (QMC) study, based on the Langevin equation, of a Hamiltonian describing electrons coupled to phonon degrees of freedom. The bosonic part of the action helps control the variation of the field in imaginary…

Strongly Correlated Electrons · Physics 2019-01-16 G. G. Batrouni , Richard T. Scalettar

In this work we study the quantum dynamics emerging when quantum emitters exchange excitations with a two-dimensional bosonic bath with hexagonal symmetry. We show that a single quantum emitter spectrally tuned to the middle of the band…

Quantum Physics · Physics 2018-04-18 A. González-Tudela , J. I. Cirac

On the basis of analytical results and molecular dynamics simulations we clarify the nonequilibrium dynamics of a long-range interacting system in contact with a heat bath. For small couplings with the bath, we show that the system can…

Statistical Mechanics · Physics 2009-11-13 Fulvio Baldovin , Pierre-Henri Chavanis , Enzo Orlandini

The classical equation of motion of a Davydov model in a coherent state approximation is analyzed using the multiple scales method. An exponentially decaying long range interaction (Kac-Baker model) was included. In the first order, the…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Dan Grecu , Anca Visinescu

We study the spectrum and eigenstates of the quantum discrete Bose-Hubbard Hamiltonian in a finite one-dimensional lattice containing two bosons. The interaction between the bosons leads to an algebraic localization of the modified extended…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jean Pierre Nguenang , R. A. Pinto , Sergej Flach

Strongly interacting systems are characterized by heavily dressed entities with internal degrees of freedom, which, on a local level, can be described in terms of coherent quantum states. We examine the modification of these local coherent…

Superconductivity · Physics 2009-11-07 J. Ranninger , A. Romano

Based on nonlocal symmetry method, localized excitations and interactional solutions are investigated for the reduced Maxwell-Bloch equations. The nonlocal symmetries of the reduced Maxwell-Bloch equations are obtained by the truncated…

Exactly Solvable and Integrable Systems · Physics 2018-08-28 Lili Huang , Yong Chen

We consider transport through finite quantum systems such as quantum barriers, wells, dots or junctions, coupled to local vibrational modes in the quantal regime. As a generic model we study the Holstein-Hubbard Hamiltonian with…

Strongly Correlated Electrons · Physics 2009-11-13 H. Fehske , G. Wellein , J. Loos , A. R. Bishop

We re-examine the effect of long-range Coulomb interactions on the collective amplitude and phase modes in the incommensurate charge-density-wave ground state of quasi-one-dimensional conductors. Using an effective action approach we show…

The scattering and bound states of the many-body systems, related to the short-range Dyson model, are studied. First, we show that the scattering states can be realized as coherent states and the scattering Hamiltonian can be connected to a…

Strongly Correlated Electrons · Physics 2007-05-23 Meripeni Ezung , N. Gurappa , Avinash Khare , Prasanta K. Panigrahi

The presence of non-local and long-range interactions in quantum systems induces several peculiar features in their equilibrium and out-of-equilibrium behavior. In current experimental platforms control parameters such as interaction range,…

We present a quantum communication experiment conducted over a point-to-point free-space link of 1.6 km in urban conditions. We study atmospheric influences on the capability of the link to act as a continuous-variable (CV) quantum channel.…

The dynamical behavior of quantum coherence of a displaced squeezed thermal state in contact with an external bath is discussed in the present work. We use a Fano-Anderson type of Hamiltonian to model the environment and solve the quantum…

Quantum Physics · Physics 2023-02-17 Md. Manirul Ali , R. Chandrashekar , S. S. Naina Mohammed

Bound states in the continuum (BICs), referring to spatially localized bound states with energies falling within the range of extended modes, have been extensively investigated in single-particle systems, leading to diverse applications in…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 Na Sun , Weixuan Zhang , Hao Yuan , Xiangdong Zhang

We study the out-of-equilibrium dynamics of quantum systems with long-range interactions. Two different models describing, respectively, interacting lattice bosons and spins are considered. Our study relies on a combined approach based on…

Quantum Gases · Physics 2015-10-26 Lorenzo Cevolani , Giuseppe Carleo , Laurent Sanchez-Palencia

In this work, we detail different approaches to treat multi-mode photonic environments within non-relativistic quantum electrodynamics in the long-wavelength approximation efficiently. Specifically we show that for equilibrium properties of…

Quantum Physics · Physics 2025-12-08 Davis M. Welakuh , Vasil Rokaj , Michael Ruggenthaler , Angel Rubio

Long-range interacting systems, while relaxing to equilibrium, often get trapped in long-lived quasistationary states which have lifetimes that diverge with the system size. In this work, we address the question of how a long-range system…

Statistical Mechanics · Physics 2013-12-04 Aurelio Patelli , Shamik Gupta , Cesare Nardini , Stefano Ruffo
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