Quantum simulation of extended polaron models using compound atom-ion systems

• URL: http://arxiv.org/abs/2005.08635v2
• Date: Fri, 4 Sep 2020 08:21:50 GMT
• Title: Quantum simulation of extended polaron models using compound atom-ion systems
• Authors: Krzysztof Jachymski and Antonio Negretti
• Abstract summary: We consider the prospects for quantum simulation of condensed matter models exhibiting strong electron-phonon coupling. We derive the effective Hamiltonian describing the general system and discuss the arising energy scales. Although for a typical experimentally realistic system the coupling to phonons turns out to be small, we provide the means to enhance its role.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 posesses a phonon structure, in contrast to the standard optical lattice scenarios usually employed with ultracold atoms in which the lattice is generated by laser light and thus it remains static. We derive the effective Hamiltonian describing the general system and discuss the arising energy scales, relating the results to commonly employed extended Hubbard-Holstein models. Although for a typical experimentally realistic system the coupling to phonons turns out to be small, we provide the means to enhance its role and reach interesting regimes with competing orders. Extended Lang-Firsov transformation reveals the emergence of phonon-induced long-range interactions between the atoms, which can give rise to both localized and extended bipolaron states with low effective mass, indicating the possibility of fermion pairing.

Related papers

• Local control and mixed dimensions: Exploring high-temperature superconductivity in optical lattices [0.8453109131640921]
  Local control and optical bilayer capabilities combined with spatially resolved measurements create a versatile toolbox. We show how coherent pairing correlations can be accessed in a partially particle-hole transformed and rotated basis. Finally, we introduce a scheme to measure momentum-resolved dopant densities, providing access to observables complementary to solid-state experiments.
  arXiv  Detail & Related papers  (2024-06-04T17:59:45Z)
• Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches [41.94295877935867]
  We study the melting of charge-density waves in a Holstein model after a sudden switch-on of the electronic hopping. A comparison with exact data obtained for a Holstein chain shows that a semiclassical treatment of both the electrons and phonons is required in order to correctly describe the phononic dynamics.
  arXiv  Detail & Related papers  (2023-12-19T16:14:01Z)
• Higher-order topological Peierls insulator in a two-dimensional atom-cavity system [58.720142291102135]
  We show how photon-mediated interactions give rise to a plaquette-ordered bond pattern in the atomic ground state. The pattern opens a non-trivial topological gap in 2D, resulting in a higher-order topological phase hosting corner states. Our work shows how atomic quantum simulators can be harnessed to investigate novel strongly-correlated topological phenomena.
  arXiv  Detail & Related papers  (2023-05-05T10:25:14Z)
• Quantum simulation of extended electron-phonon coupling models in a hybrid Rydberg atom setup [0.0]
  State-of-the-art experiments using Rydberg atoms can now operate with large numbers of trapped particles with tunable geometry and long coherence time. We propose a way to utilize this in a hybrid setup involving neutral ground state atoms to efficiently simulate condensed matter models featuring electron-phonon coupling.
  arXiv  Detail & Related papers  (2022-08-24T12:28:03Z)
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model [77.34726150561087]
  We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model. We simulate the light-induced transition between two competing phases.
  arXiv  Detail & Related papers  (2022-05-13T13:13:31Z)
• Correlated steady states and Raman lasing in continuously pumped and probed atomic ensembles [68.8204255655161]
  We consider an ensemble of Alkali atoms that are continuously optically pumped and probed. Due to the collective scattering of photons at large optical depth, the steady state of atoms does not correspond to an uncorrelated tensor-product state. We find and characterize regimes of Raman lasing, akin to the model of a superradiant laser.
  arXiv  Detail & Related papers  (2022-05-10T06:54:54Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Thermally induced entanglement of atomic oscillators [0.0]
  Laser cooled ions trapped in a linear Paul trap are long-standing ideal candidates for realizing quantum simulation. A pair of ions interacting in such traps exchange vibrational quanta through the Coulomb interaction. Driven by thermal energy, the nonlinear interaction autonomously and unconditionally generates entanglement between the mechanical modes of the ions.
  arXiv  Detail & Related papers  (2021-07-05T11:15:06Z)
• Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
  We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators. We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure. The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
  arXiv  Detail & Related papers  (2021-05-27T18:00:02Z)
• Deterministic single-atom source of quasi-superradiant $N$-photon pulses [62.997667081978825]
  Scheme operates with laser and cavity fields detuned from the atomic transition by much more than the excited-state hyperfine splitting. This enables reduction of the dynamics to that of a simple, cavity-damped Tavis-Cummings model with the collective spin determined by the total angular momentum of the ground hyperfine level.
  arXiv  Detail & Related papers  (2020-12-01T03:55:27Z)
• Molecule-photon interactions in phononic environments [0.0879626117219674]
  Liquid quantum optical systems can interface photons, electronic degrees of freedom, localized mechanical vibrations and phonons. In particular, the strong vibronic interaction between electrons and nuclear motion in a molecule resembles the optomechanical radiation pressure Hamiltonian. We take here an open quantum system approach to the non-equilibrium dynamics of molecules embedded in a crystal.
  arXiv  Detail & Related papers  (2019-12-05T15:11:46Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.