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We study the coherent dynamics of a Holstein polaron in strong electric fields. A detailed analytical and numerical analysis shows that even for small hopping constant and weak electron-phonon interaction, polaron states can become…

Condensed Matter · Physics 2009-11-07 Wei Zhang , Alexander O. Govorov , Sergio E. Ulloa

We analyze the ground-state entanglement entropy of the extended Bose-Hubbard model with infinite-range interactions. This model describes the low-energy dynamics of ultracold bosons tightly bound to an optical lattice and dispersively…

Quantum Gases · Physics 2022-10-18 Shraddha Sharma , Simon B. Jaeger , Rebecca Kraus , Tommaso Roscilde , Giovanna Morigi

The electronic structure of condensed matter can be significantly affected by the electron-phonon interaction, leading to important phenomena such as electrical resistance, superconductivity or the formation of polarons. This interaction is…

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 report on simulations of the degree of polarization entanglement of photon pairs simultaneously emitted from a quantum dot-cavity system that demand revisiting the role of phonons. Since coherence is a fundamental precondition for…

Mesoscale and Nanoscale Physics · Physics 2019-09-26 Tim Seidelmann , Florian Ungar , Andreas M. Barth , Alexei Vagov , Vollrath Martin Axt , Moritz Cygorek , Tilmann Kuhn

We propose a quantum simulation of small-polaron physics using a one-dimensional system of trapped ions acted upon by off-resonant standing waves. This system, envisioned as an array of microtraps, in the single-excitation case allows the…

Quantum Gases · Physics 2012-12-18 Vladimir M. Stojanovic , Tao Shi , C. Bruder , J. Ignacio Cirac

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 develop a systematic variational coherent state expansion for the many-body ground state of the spin-boson model, in which a quantum two-level system is coupled to a continuum of harmonic oscillators. Energetic constraints at the heart…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 Soumya Bera , Ahsan Nazir , Alex W. Chin , Harold U. Baranger , Serge Florens

We explore the correlations and entanglements of exact-diagonalized few-electron wave functions in a quantum dot in magnetic fields without the Zeeman splitting. With the increase of the field, the lowest states with different spins…

Strongly Correlated Electrons · Physics 2007-05-23 Ning Yang , Jia-Lin Zhu , Zhengsheng Dai , Yuquan Wang

The polaron, an electron dressed with HCB excitations, remains light even in the strong coupling limit as its effective mass remains of the order of the free electron mass. This result is in a sharp contrast to the Holstein model where the…

Strongly Correlated Electrons · Physics 2020-08-26 J. Bonca

The quantum phase transition between a repulsive Luttinger liquid and an insulating Peierls state is studied in the framework of the one-dimensional spinless Holstein model. We focus on the adiabatic regime but include the full quantum…

Strongly Correlated Electrons · Physics 2011-03-08 Martin Hohenadler , Holger Fehske , Fakher F. Assaad

Entanglement potentials are a promising way to quantify the nonclassicality of single-mode states. They are defined by the amount of entanglement (expressed by, e.g., the Wootters concurrence) obtained after mixing the examined single-mode…

Quantum Physics · Physics 2024-01-12 Josef Kadlec , Karol Bartkiewicz , Antonín Černoch , Karel Lemr , Adam Miranowicz

We consider the dynamics of the mean-field polaron in the weak-coupling limit of vanishing electron-phonon interaction, $\varepsilon \to 0$. This is a singular limit formally leading to a Schr\"odinger--Poisson system that is equivalent to…

Mathematical Physics · Physics 2017-09-13 Marcel Griesemer , Jochen Schmid , Guido Schneider

For systems of $N$ charged fermions (e.g. electrons) interacting with longitudinal optical quantized lattice vibrations of a polar crystal we derive upper and lower bounds on the minimal energy within the model of H. Fr\"ohlich. The only…

Mathematical Physics · Physics 2015-05-13 Marcel Griesemer , Jacob Schach Møller

An influence of the electron-phonon interaction on excitation spectrum and damping in a narrow band electron subsystem of cuprates has been investigated. Within the framework of the t-J model an approach to solving a problem of account of…

Strongly Correlated Electrons · Physics 2016-12-21 E. E. Zubov

We show theoretically that polariton pairs with a high degree of polarization entanglement can be produced through parametric scattering. We demonstrate that it can emerge in coincidence experiments, even at low excitation densities where…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. Portolan , O. Di Stefano , S. Savasta , V. Savona

We consider the confined Fr\"ohlich polaron and establish an asymptotic series for the low-energy eigenvalues in negative powers of the coupling constant. The coefficients of the series are derived through a two-fold perturbation approach,…

Mathematical Physics · Physics 2025-02-26 Morris Brooks , David Mitrouskas

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…

Using the momentum average approximation we study the importance of adding higher-than-linear terms in the electron-phonon coupling on the properties of single polarons described by a generalized Holstein model. For medium and strong linear…

Strongly Correlated Electrons · Physics 2013-06-13 C. P. J. Adolphs , M. Berciu

We performed an extensive numerical analysis of the Holstein model. Combining variational Lanczos diagonalisation, density matrix renormalisation group, kernel polynomial expansion, and cluster perturbation theory techniques we solved for…

Strongly Correlated Electrons · Physics 2015-06-25 H. Fehske , S. A. Trugman