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Related papers: Quantum simulation of small-polaron formation with…

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We propose the implementation of the Holstein model by means of digital methods in a linear chain of trapped ions. We show how the simulation fidelity scales with the generation of phononic excitations. We propose a decomposition and a…

Quantum Physics · Physics 2015-06-05 A. Mezzacapo , J. Casanova , L. Lamata , E. Solano

We propose an analog quantum simulator for the Holstein molecular-crystal model based on a superconducting circuit QED system in the dispersive regime. By varying the driving field on the superconducting resonators, one can readily access…

Quantum Physics · Physics 2013-12-05 Feng Mei , Vladimir M. Stojanovic , Irfan Siddiqi , Lin Tian

We propose a scheme for investigating the nonequilibrium aspects of small-polaron physics using an array of superconducting qubits and microwave resonators. This system, which can be realized with transmon or gatemon qubits, serves as an…

Quantum Physics · Physics 2019-04-29 Vladimir M. Stojanovic , Igor Salom

We consider the prospects for quantum simulation of condensed matter models exhibiting strong electron-phonon coupling using a hybrid platform of trapped laser-cooled ions interacting with an ultracold atomic gas. This system naturally…

Quantum Gases · Physics 2020-09-07 Krzysztof Jachymski , Antonio Negretti

We present a novel system for the simulation of quantum phase transitions of collective internal qubit and phononic states with a linear crystal of trapped ions. The laser-ion interaction creates an energy gap in the excitation spectrum,…

Quantum Physics · Physics 2013-05-29 P. A. Ivanov , S. S. Ivanov , N. V. Vitanov , A. Mering , M. Fleischhauer , K. Singer

The Holstein model, which describes purely local coupling of an itinerant excitation (electron, hole, exciton) with zero-dimensional (dispersionless) phonons, represents the paradigm for short-range excitation-phonon interactions. It is…

Quantum Physics · Physics 2023-11-01 Vladimir M. Stojanovic

We investigate polaron formation in a many-electron system in the presence of a local repulsion sufficiently strong to prevent local-bipolaron formation. Specifically, we consider a Hubbard-Holstein model of interacting electrons coupled to…

Strongly Correlated Electrons · Physics 2007-08-07 Massimo Capone , Marco Grilli , Walter Stephan

Quantum simulations can provide new insights into the physics of strongly correlated electronic systems. A well studied system, but still open in many regards, is the Hubbard-Holstein Hamiltonian, where electronic repulsion is in…

Strongly Correlated Electrons · Physics 2021-12-08 Utso Bhattacharya , Tobias Graß , Adrian Bachtold , Maciej Lewenstein , Fabio Pistolesi

We revisit from a quantum-information perspective a classic problem of polaron theory in one dimension. In the context of the Holstein model we show that a simple analysis of quantum entanglement between excitonic and phononic degrees of…

Quantum Physics · Physics 2009-11-10 Yang Zhao , Paolo Zanardi , Guanhua Chen

Polaron and bipolaron formation in the Holstein-Hubbard model with harmonic confinement potential, relevant to quantum dot structures, is investigated in one to three dimensions by means of unbiased quantum Monte Carlo simulations. The…

Strongly Correlated Electrons · Physics 2007-06-13 Martin Hohenadler , Holger Fehske

We consider the quantum simulation of quadratic spin-phonon coupling in a crystal of trapped ions. The coupling is implemented using tightly focused optical tweezers on each ion that change the local trapping potential in a state-dependent…

Recent years have seen growing interest in sharp polaronic transitions in systems with strongly momentum-dependent interactions of an itinerant excitation (electron, hole, exciton) with dispersionless phonons. This work presents a scheme…

Quantum Physics · Physics 2024-12-30 Vladimir M. Stojanovic

Understanding the fundamental properties that dictate photoexcited polarons in materials is critical to tuning their properties. Theoretical models of polarons have only recently been extended to the excited state. Experimental measurements…

Materials Science · Physics 2025-12-22 Jocelyn L. Mendes , Scott K. Cushing

We investigate the scattering of an electron by phonons in a small structure between two one-dimensional tight-binding leads. This model mimics the quantum electron transport through atomic wires or molecular junctions coupled to metallic…

Strongly Correlated Electrons · Physics 2017-02-27 C. Brockt , E. Jeckelmann

The formation of a polaron quasiparticle from a bare electron is studied in the framework of the Holstein model of electron-phonon coupling. Using Schr\"{o}dinger's formalism, we calculate the time evolution of the distribution of the…

Strongly Correlated Electrons · Physics 2007-05-23 Li-Chung Ku , S. A. Trugman

The vibrations of a chain of trapped ions can be considered, under suitable experimental conditions, as an ensemble of interacting phonons, whose quantum dynamics is governed by a Bose--Hubbard Hamiltonian. In this work we study the quantum…

Quantum Physics · Physics 2009-11-13 X. -L. Deng , D. Porras , J. I. Cirac

We propose an analog superconducting quantum simulator for a one-dimensional model featuring momentum-dependent (nonlocal) electron-phonon couplings of Su-Schrieffer-Heeger and "breathing-mode" types. Because its corresponding vertex…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Vladimir M. Stojanovic , Mihajlo Vanevic , Eugene Demler , Lin Tian

The phonon spectral function of the one-dimensional Holstein model is obtained within weak and strong-coupling approximations based on analytical self-energy calculations. The characteristic excitations found in the limit of small…

Strongly Correlated Electrons · Physics 2007-05-23 J Loos , M Hohenadler , A Alvermann , H Fehske

Quantum entropies and state distances are analyzed in polaronic systems with short range (Holstein model) and long range (Fr$\ddot{o}$hlich model) electron-phonon coupling. These quantities are extracted by a variational wave function which…

Strongly Correlated Electrons · Physics 2015-05-19 C. A. Perroni , V. Marigliano Ramaglia , V. Cataudella

In this work, we highlight how trapped-ion quantum systems can be used to study generalized Holstein models, and benchmark expensive numerical calculations. We study a particular spin-Holstein model that can be implemented with arrays of…

Quantum Physics · Physics 2022-03-29 Johannes Knörzer , Tao Shi , Eugene Demler , J. Ignacio Cirac
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