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We describe a variational method to solve the Holstein model for an electron coupled to dynamical, quantum phonons on an infinite lattice. The variational space can be systematically expanded to achieve high accuracy with modest…

强关联电子 · 物理学 2009-10-31 J. Bonca , S. A. Trugman , I. Batistic

We calculate the resonance fluorescence signal of a two-level system coupled to a quantized phonon mode. By treating the phonons in the independent boson model and not performing any approximations in their description, we also have access…

介观与纳米尺度物理 · 物理学 2022-02-22 Thilo Hahn , Daniel Groll , Hubert J. Krenner , Tilmann Kuhn , Paweł Machnikowski , Daniel Wigger

The spectrum of phonon-like collective excitations in the system of Bose-atoms in optical lattice (more generally, in the system of quantum particles described by the Bose-Hubbard model) is investigated. Such excitations appear due to…

统计力学 · 物理学 2015-12-25 I. V. Stasyuk , O. V. Velychko , O. Vorobyov

The effect of a solid-vacuum interface on the properties of a strongly coupled electron-phonon system is analyzed using dynamical mean-field theory to solve the Holstein model in a semi-infinite cubic lattice. Polaron formation is found to…

强关联电子 · 物理学 2015-05-13 Reza Nourafkan , Massimo Capone , Nasser Nafari

We explore the quasiparticle properties of lattice polarons on the basis of a quite general electron-phonon Hamiltonian with a long-range displacement-type of interaction. To treat the dynamical quantum phonons without significant loss of…

强关联电子 · 物理学 2009-10-31 H. Fehske , J. Loos , G. Wellein

The acoustic, optic, and surface polar optic phonons are the three important intrinsic and extrinsic phononic modes that increasingly populate graphene on a substrate with rising temperatures; the coupling of which with photoexcited hot…

介观与纳米尺度物理 · 物理学 2021-12-15 S. Arshia Khatoon , Meenhaz Ansari , S. S. Z. Ashraf , M. Obaidurrahman

We investigate a dilute Bose gas confined in a tight one-dimensional (1D) optical lattice plus a superimposed random potential at zero temperature. Accordingly, the ground state energy, quantum depletion and superfluid density are…

量子气体 · 物理学 2015-05-19 Kezhao Zhou , Ying Hu , Zhaoxin Liang , Zhidong Zhang

We discuss the dynamics of the formation of a Bose polaron when an impurity is injected into a weakly interacting one-dimensional Bose condensate. While for small impurity-boson couplings this process can be described within the Froehlich…

量子气体 · 物理学 2023-09-04 Martin Will , Michael Fleischhauer

We generalize the application of small polaron theory to ultracold gases of Ref. [\onlinecite{jaksch_njp1}] to the case of Bose-Fermi mixtures, where both components are loaded into an optical lattice. In a suitable range of parameters, the…

量子气体 · 物理学 2011-01-11 Antonio Privitera , Walter Hofstetter

We study the transport of ultracold impurity atoms immersed in a Bose-Einstein condensate (BEC) and trapped in a tight optical lattice. Within the strong-coupling regime, we derive an extended Hubbard model describing the dynamics of the…

量子物理 · 物理学 2008-03-11 M. Bruderer , A. Klein , S. R. Clark , D. Jaksch

We use variational methods to study a spin impurity in a 1D Bose lattice gas. Both in the strongly interacting superfluid regime and the Mott regime we find that the impurity binds with a hole, forming a polaron. Our calculations for the…

量子气体 · 物理学 2013-11-05 Shovan Dutta , Erich J. Mueller

A new variational technique is developed to investigate the polaronic features of the Holstein Molecular Crystal Model. It is based on a linear superposition of Bloch states that describe large and small polaron wave functions. It is shown…

材料科学 · 物理学 2009-10-31 V. Cataudella , G. De Filippis , G. Iadonisi

Path-integral approach to the tight-binding polaron is extended to multiple optical phonon modes of arbitrary dispersion and polarization. The non-linear lattice effects are neglected. Only one electron band is considered. The…

强关联电子 · 物理学 2009-11-11 Pavel Kornilovitch

Single-atomic impurities immersed in a dilute Bose gas in the spherically symmetric harmonic trap potentials are studied at zero temperature. In order to find the ground state of the polarons, we present a conditional variational method…

量子气体 · 物理学 2019-04-03 Kano Watanabe , Eiji Nakano , Hiroyuki Yabu

The supersolid phase of a dipolar Bose-Einstein condensate has an intriguing excitation spectrum displaying a band structure. Here, the dressing of an impurity in a one-dimensional dipolar supersolid with the excitations of the supersolid…

量子气体 · 物理学 2025-03-03 Laurent H. A. Simons , Michiel Wouters , Jacques Tempere

Our aim is to analyze the various energy functionals appearing in the physics literature and describing the behavior of a Bose-Einstein condensate in an optical lattice. We want to justify the use of some reduced models. For that purpose,…

偏微分方程分析 · 数学 2009-11-13 Amandine Aftalion , Bernard Helffer

Quasiparticles and their interactions are a key part of our understanding of quantum many-body systems. Quantum simulation experiments with cold atoms have in recent years advanced our understanding of isolated quasiparticles, but so far…

We investigate the effects of a nearly uniform Bose-Einstein condensate (BEC) on the properties of immersed trapped impurity atoms. Using a weak-coupling expansion in the BEC-impurity interaction strength, we derive a model describing…

量子物理 · 物理学 2011-11-09 Martin Bruderer , Alexander Klein , Stephen R. Clark , Dieter Jaksch

Bose polarons are quasiparticles formed through the interaction between impurities and Bose-Einstein condensates. In this paper, we derive an effective Fr\"{o}hlich Hamiltonian using the generalized Bogoliubov transformation. The effective…

量子气体 · 物理学 2023-10-10 Ning Liu , Z. C. Tu

We study the properties of coupled linear and nonlinear resonances. The fundamental phenomena and the level crossing scenarios are introduced for a nonlinear two-level system with one decaying state, describing the dynamics of a…

其他凝聚态物理 · 物理学 2008-08-12 D. Witthaut , E. M. Graefe , S. Wimberger , H. J. Korsch