Corpus ID: 236318435

Synthesizing arbitrary dispersion relations in a modulated tilted optical lattice

  title={Synthesizing arbitrary dispersion relations in a modulated tilted optical lattice},
  author={J. Garreau and V'eronique Zehnl'e},
Dispersion relations are fundamental characteristics of the dynamics of quantum and wave systems. In this work we introduce a simple technique to generate arbitrary dispersion relations in a modulated tilted lattice. The technique is illustrated by important examples: the Dirac, Bogoliubov and Landau dispersion relations (the latter exhibiting the roton and the maxon). We show that adding a slow chirp to the lattice modulation allows one to reconstruct the dispersion relation from dynamical… Expand

Figures from this paper


Effective Dirac dynamics of ultracold atoms in bichromatic optical lattices
We study the dynamics of ultracold atoms in tailored bichromatic optical lattices. By tuning the lattice parameters, one can readily engineer the band structure and realize a Dirac point, i.e., aExpand
Ultracold atoms in a tunable optical kagome lattice.
The lattices implemented in this work offer a near-ideal realization of a paradigmatic model of many-body quantum physics, which can serve as a platform for future studies of geometric frustration. Expand
Roton-maxon excitation spectrum of Bose condensates in a shaken optical lattice.
Experimental evidence is presented showing that an interacting Bose condensate in a shaken optical lattice develops a roton-maxon excitation spectrum, a feature normally associated with superfluid helium, which can be controlled by both the atomic interaction and the lattice modulation amplitude. Expand
Roton-like acoustical dispersion relations in 3D metamaterials
Beyond-nearest-neighbor interactions as a mechanism in elastic and airborne acoustical metamaterials allows us to engineer roton-like acousticals dispersion relations under ambient conditions. Expand
Wannier-Stark ladders in driven optical lattices
The paper studies the effect of a weak periodic driving on metastable Wannier-Stark states. The decay rate of the ground Wannier-Stark states as a continuous function of the driving frequency isExpand
Cold Bosonic Atoms in Optical Lattices
The dynamics of an ultracold dilute gas of bosonic atoms in an optical lattice can be described by a Bose-Hubbard model where the system parameters are controlled by laser light. We study theExpand
Wannier–Stark resonances in optical and semiconductor superlattices
Abstract In this work, we discuss the resonance states of a quantum particle in a periodic potential plus a static force. Originally, this problem was formulated for a crystal electron subject to aExpand
Observation of atomic Wannier-Stark ladders in an accelerating optical potential.
Observation of Wannier-Stark ladders with ultracold sodium atoms in an accelerating one-dimensional standing wave of light shows that this resonant structure can also be understood as a temporal quantum interference effect. Expand
Experimental observation of the Anderson metal-insulator transition with atomic matter waves.
An atom-optics quantum-chaotic system, the quasiperiodic kicked rotor, is realized experimentally, which is equivalent to a 3D disordered system that allows us to demonstrate the Anderson metal-insulator transition. Expand
Theoretical analysis of quantum dynamics in one-dimensional lattices: Wannier-Stark description
This paper presents a formalism describing the dynamics of a quantum particle in a one-dimensional, tilted, time-dependent lattice. The description uses the Wannier-Stark states, which are localizedExpand