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Scattering in a model of a massive quantum-mechanical particle, an ``electron'', interacting with massless, relativistic bosons, ``photons'', is studied. The interaction term in the Hamiltonian of our model describes emission and absorption…

Mathematical Physics · Physics 2007-05-23 J. Froehlich , M. Griesemer , B. Schlein

One of the recently established paradigms in condensed matter physics is examining a system's behaviour in artificially constructed potentials, giving insight into physical phenomena of quantum fluids in hard-to-reach settings. A prominent…

Mesoscale and Nanoscale Physics · Physics 2021-10-01 Sergey Alyatkin , Helgi Sigurdsson , Alexis Askitopoulos , Julian D. Töpfer , Pavlos G. Lagoudakis

We propose a new method to obtain a squeezed matter field of atomic vibrations by use of an optical lattice, and the laser pulse technique of Garrett et al used for acoustic phonons [1]. We show that it is possible to reduce the variance of…

Condensed Matter · Physics 2007-05-23 A. L. Burin , J. L. Birman , A. Bulatov , H. Rabitz

Insights into complex phenomena in quantum matter can be gained from simulation experiments with ultracold atoms, especially in cases where theoretical characterization is challenging. However these experiments are mostly limited to…

Quantum degenerate gases trapped in optical lattices are ideal testbeds for fundamental physics because these systems are tunable, well characterized, and isolated from the environment. Controlled disorder can be introduced to explore…

Quantum Gases · Physics 2015-12-09 V. W. Scarola , B. DeMarco

Optical lattice systems provide exceptional platforms for quantum simulation of many-body systems. We focus on the doubly modulated Bose-Hubbard model driven by both time-dependent on-site energy and interaction, and predict the emergence…

Quantum Gases · Physics 2019-11-20 Hongzheng Zhao , Johannes Knolle , Florian Mintert

Exchange-antisymmetric pair wavefunctions in fermionic systems can give rise to unconventional superconductors and superfluids with non-trivial transport properties. The realisation of these states in controllable quantum systems, such as…

We study a system of polar dipolar fermions in a two-dimensional optical lattice and show that multi-band Fermi-Hubbard model is necessary to discuss such system. By taking into account both on-site, and long-range interactions between…

Quantum Gases · Physics 2015-06-04 O. Dutta , T. Sowiński , M. Lewenstein

The existence of more than one steady-state in a many-body quantum system driven out-of-equilibrium has been a matter of debate, both in the context of simple impurity models and in the case of inelastic tunneling channels. In this Letter,…

Strongly Correlated Electrons · Physics 2013-08-23 Eli. Y. Wilner , Haobin Wang , Guy Cohen , Michael Thoss , Eran Rabani

We study the dynamics of spin-1 atoms in a periodic optical-lattice potential and an external magnetic field in a quantum quench scenario where we start from a superfluid ground state in a shallow lattice potential and suddenly raise the…

Quantum Gases · Physics 2013-08-12 K. W. Mahmud , E. Tiesinga

We study an atomic Bose-Fermi mixture in an optical lattice which is confined using an optical trap. We obtain the Mott ground states of such a system in the limit of deep optical lattice and discuss the effect of quantum fluctuations on…

Strongly Correlated Electrons · Physics 2007-09-17 K. Sengupta , N. Dupuis , P. Majumdar

We present a theoretical description of the coupling between longitudinal optical phonons and collective excitations of a two-dimensional electron gas. By diagonalizing the Hamiltonian of the system, including Coulomb electron-electron and…

Mesoscale and Nanoscale Physics · Physics 2020-02-21 Sofia Ribeiro , Angela Vasanelli , Yanko Todorov , Carlo Sirtori

In this paper we investigate from first principles the effect of the electron-phonon interaction in two paradigmatic nanostructures: trans-polyacetylene and polyethylene. We found that the strong electron-phonon interaction leads to the…

Materials Science · Physics 2013-04-02 Elena Cannuccia , Andrea Marini

This study concerns the two-body scattering of particles in a one-dimensional periodic potential. A convenient ansatz allows for the separation of center-of-mass and relative motion, leading to a discrete Schr\"odinger equation in the…

Atomic Physics · Physics 2021-08-11 Seth T. Rittenhouse , P. Giannakeas , Nirav P. Mehta

Performing interferometry in an optical lattice formed by standing waves of light offers potential advantages over its free-space equivalents since the atoms can be confined and manipulated by the optical potential. We demonstrate such an…

An optical lattice with cold trapped atoms represents a quantum system of fundamental importance as it enables the study of quantum many-body system in a controllable way. It is thus necessary to develop theoretical and experimental tools…

Quantum Physics · Physics 2025-09-03 Mehmet Emre Tasgin , Hyunchul Nha

Ultracold atoms are an ideal platform to study strongly correlated phases of matter in and out of equilibrium. Much of the experimental progress in this field crucially relies on the control of the contact interaction between two atoms.…

We derive an analog of the Lellouch-L\"uscher (LL) relation for few-body bosonic systems, linking few-body scattering loss rates to the energies and widths of the corresponding harmonically trapped few-body states. Three-body numerical…

Quantum Gases · Physics 2026-05-21 Jing-Lun Li , Paul S. Julienne , Johannes Hecker Denschlag , José P. D'Incao

A mixture of ultracold bosons and fermions placed in an optical lattice constitutes a novel kind of quantum gas, and leads to phenomena, which so far have been discussed neither in atomic physics, nor in condensed matter physics. We discuss…

Other Condensed Matter · Physics 2009-11-10 M. Lewenstein , L. Santos , M. A. Baranov , H. Fehrmann

We study the small-polaron problem of a single electron interacting with the lattice for the Holstein model in the adiabatic limit on a comb lattice, when the electron-phonon interaction acts only on the base sites. The ground state…

Strongly Correlated Electrons · Physics 2007-08-07 Ilaria Meccoli , Massimo Capone
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