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The single-polaron band structure of the Holstein model in one and two dimensions is studied using a new form of resummed strong-coupling perturbation theory. Well converged results are obtained for phonon frequencies of the order of the…

Condensed Matter · Physics 2007-05-23 Walter Stephan

Immersing a mobile impurity into a many-body quantum system represents a theoretically intriguing and experimentally effective way of probing its properties.In this work, we study the polaron spectral function in various environments,…

Quantum Gases · Physics 2024-02-28 Ivan Amelio , Nathan Goldman

We consider resonant transport through a molecular quantum dot coupled to a local vibration mode. Applying the non-equilibrium Green function technique in the polaron representation, we develop a non-perturbative scheme to calculate the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Alex Zazunov , Thierry Martin

Polar dielectric nanoresonators can support hybrid photon-phonon modes termed surface phonon polaritons with lengthscales below the diffraction limit. In the deep sub-wavelength regime the optical response of these systems was recently…

Mesoscale and Nanoscale Physics · Physics 2020-06-11 C. R. Gubbin , S. De Liberato

When an electron-hole pair is optically excited in a semiconductor quantum dot the host crystal lattice needs to adapt to the presence of the generated charge distribution. Therefore the coupled exciton-phonon system has to establish a new…

When an electron interacts with phonons, the electron can exhibit either free electron-like or polaron-like properties. The latter tends to occur for very strong coupling, and results in a phonon cloud accompanying the electron as it moves,…

Superconductivity · Physics 2012-11-21 Zhou Li , F. Marsiglio

We investigate polariton-phonon hybrid excitations, which describe the collective excitations of emitter-photon polaritons and vibrational phonons, in a periodic array of vibrating two-level emitters interacting with waveguide photons. We…

Quantum Physics · Physics 2022-10-26 Han-Jie Zhu , Xiao-Ming Zhao , Jin-Kui Zhao , Lin Zhuang , Guo-Feng Zhang , Wu-Ming Liu

We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the interaction term. We investigate the strong-coupling limit of the model, and prove suitable bounds on the ground state energy as a function of the…

Mathematical Physics · Physics 2021-12-07 Krzysztof Myśliwy , Robert Seiringer

Nonlinear modal interactions in resonant systems govern a wide range of phenomena, with broad relevance across modern physics and engineering. Yet, experimentally determining the strength of nonlinear coupling in multimode resonators…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 Chris F. D. Wattjes , Zichao Li , Minxing Xu , Richard A. Norte , Peter G. Steeneken , Farbod Alijani

We study polarons in the one-dimensional Bond-Peierls electron-phonon model, in which phonons on bonds of a lattice modulate the hopping of electrons between lattice sites, and contrast the results to those known for the Breathing-Mode…

Strongly Correlated Electrons · Physics 2021-11-24 Matthew R. Carbone , Andrew J. Millis , David R. Reichman , John Sous

The hybridization of light and matter excitations in the form of polaritons has enabled major advances in understanding and controlling optical nonlinearities. Entering the quantum regime of strong interactions between individual photons…

We construct non-perturbative inputs for the elastic gluon-hadron scattering amplitudes in the forward kinematic region for both polarized and non-polarized hadrons. We use the optical theorem to relate invariant scattering amplitudes to…

High Energy Physics - Phenomenology · Physics 2015-12-25 B. I. Ermolaev , F. Olness , S. I. Troyan

A new variational approach is proposed at zero temperature for a finite density of charge carriers in order to study ground state features of the Frohlich model including electron-electron and electron-phonon interactions. Within the…

Strongly Correlated Electrons · Physics 2021-06-30 C. A. Perroni , G. De Filippis , V. Cataudella

Considering the long range Coulomb interactions between large polarons in dielectrics, we propose a model for their crystallization when no bipolarons are formed. As the density increases, the melting is examined at $T=OK$. One possibility…

Condensed Matter · Physics 2009-10-30 P. Quemerais , S. Fratini

We discuss an integrable model describing one-dimensional electrons interacting with two-dimensional anharmonic phonons. In the low temperature limit it is possible to decouple phonons and consider one-dimensional excitations separately.…

Strongly Correlated Electrons · Physics 2009-10-31 Catherine Pépin , Alexei M. Tsvelik

We present numerically exact solutions to the problem of a single electron interacting through a long range interaction with optical phonons in two and three dimensions. Comparisons are made with results for the standard Holstein model, and…

Strongly Correlated Electrons · Physics 2015-11-17 Carl J. Chandler , F. Marsiglio

We discuss phonon-induced non-Markovian and Markovian features in QD-based optics. We cover lineshapes in linear absorption experiments, phonon-induced incoherence in the Heitler regime, and memory correlations in two-photon coherences. To…

Quantum Physics · Physics 2019-04-25 Alexander Carmele , Stephan Reitzenstein

We developed a theory of charge transport in a system of non-interacting polarons. The theory was conducted to a compact relation through a nonperturbative method based on electron-phonon Hamiltonian. The derived final result represents…

Other Condensed Matter · Physics 2012-03-15 F. Marsusi , J. Sabbaghzadeh

Here we study the polaronic transport through molecules weakly connected to metallic electrodes in the nonlinear response regime. Molecule itself is treated as a quantum dot with discrete energy levels, its connection to the electrodes is…

Mesoscale and Nanoscale Physics · Physics 2007-07-22 Kamil Walczak

Interactions between quasiparticles are of fundamental importance and ultimately determine the macroscopic properties of quantum matter. A famous example is the phenomenon of superconductivity, which arises from attractive electron-electron…

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