Prof J. I. Cirac (P3 MPQ) talk “Projected entangled pair states and many-body quantum systems”
Prof J. I. Cirac (P3 MPQ), talk “An order parameter for symmetry-protected phases in one dimension”, “New quantum states of matter in and out of equilibrium”
Journal Quantum Information & Computation Volume 12 Issue 5-6, May 2012 Pages 502-534
URL: http://link.aps.org/doi/10.1103/PhysRevA.86.062314
DOI: 10.1103/PhysRevA.86.062314
PACS: 03.67.Mn, 03.65.Ud, 75.10.Pq, 71.10.Hf
We derive a criterion to determine when a translationally invariant matrix product state (MPS) has long-range localizable entanglement, where that quantity remains finite in the thermodynamic limit. We give examples fulfilling this criterion and eventually use it to obtain all such MPS with bond dimension 2 and 3.
arXiv:1208.4299
We suggest a method to simulate lattice compact Quantum Electrodynamics (cQED) using ultracold atoms in optical lattices, which includes dynamical Dirac fermions in 2+1 dimensions. This allows to test dynamical effects of confinement as well as 2d flux loops deformations and breaking, and to observe Wilson-loop area-law.
Phys. Rev. Lett. 109, 235309 (2012)
doi:10.1103/PhysRevLett.109.235309
We propose to use subwavelength confinement of light associated with the near field of plasmonic systems to create nanoscale optical lattices for ultracold atoms. Our approach combines the unique coherence properties of isolated atoms with the subwavelength manipulation and strong light-matter interaction associated with nanoplasmonic systems. It allows one to considerably increase the energy scales in the realization of Hubbard models and to engineer effective long-range interactions in coherent and dissipative many-body dynamics.
We investigate the two-photon transport through a waveguide side-coupling to a whispering-gallery-atom system. Using the Lehmann-Symanzik-Zimmermann (LSZ) reduction approach, we present the general formula for the two-photon processes including the two-photon scattering matrices, the wavefunctions and the second order correlation functions of the out-going photons.
URL: http://link.aps.org/doi/10.1103/PhysRevLett.109.250501
DOI: 10.1103/PhysRevLett.109.250501
PACS: 03.67.Ac, 37.10.Ty, 71.38.Ht
We propose an analog 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 realization of the antiadiabatic regime of the Holstein model. We show that the strong excitation-phonon coupling regime, characterized by the formation of small polarons, can be reached using realistic values of the relevant system parameters.
URL: http://link.aps.org/doi/10.1103/PhysRevA.86.013802
DOI: 10.1103/PhysRevA.86.013802
PACS: 42.50.Pq, 42.50.Wk, 37.10.Vz
We present a master equation describing the interaction of light with dielectric objects of arbitrary sizes and shapes. The quantum motion of the object, the quantum nature of light, as well as scattering processes to all orders in perturbation theory are taken into account. This formalism extends the standard master-equation approach to the case where interactions among different modes of the environment are considered. It yields a genuine quantum description, including a renormalization of the couplings and decoherence terms.
“Twittern im Quantenzeitalter”