Observation of Atomic Wannier-Stark Ladders in an Accelerating Optical Potential

Wilkinson, S. R.; Bharucha, C. F.; Madison, Kirk W.; Niu, Qian; Raizen, Mark G.

doi:10.1103/physrevlett.76.4512

Cited by 444 publications

(299 citation statements)

References 17 publications

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“…In natural crystals, BO have never been observed because of dephasing effects. Solely with the advent of semiconductor superlattices and ultracold atoms, BO have been observed for matter waves [3][4][5][6] . In their essence, BO are a wave phenomenon.…”

mentioning

confidence: 99%

Fractional Bloch oscillations in photonic lattices

et al. 2013

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Bloch oscillations, the oscillatory motion of a quantum particle in a periodic potential, are one of the most fascinating effects of coherent quantum transport. Originally studied in the context of electrons in crystals, Bloch oscillations manifest the wave nature of matter and are found in a wide variety of different physical systems. Here we report on the first experimental observation of fractional Bloch oscillations, using a photonic lattice as a model system of a two-particle extended Bose–Hubbard Hamiltonian. In our photonic simulator, the dynamics of two correlated particles hopping on a one-dimensional lattice is mapped into the motion of a single particle in a two-dimensional lattice with engineered defects and mimicked by light transport in a square waveguide lattice with a bent axis

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mentioning

confidence: 99%

Fractional Bloch oscillations in photonic lattices

et al. 2013

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“…where k L = 2π/λ, λ is the wavelength of the light field (780.02 nm for Rubidium [22], 589 nm for Sodium [24]), and m the mass of the atoms.…”

Section: Formalism a Mean-field Theory And Hfb-popov Equationsmentioning

confidence: 99%

Coherence properties of the two-dimensional Bose-Einstein condensate

Gies

Hutchinson

2004

Phys. Rev. A

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We present a detailed finite-temperature Hartree-Fock-Bogoliubov (HFB) treatment of the twodimensional trapped Bose gas. We highlight the numerical methods required to obtain solutions to the HFB equations within the Popov approximation, the derivation of which we outline. This method has previously been applied successfully to the three-dimensional case and we focus on the unique features of the system which are due to its reduced dimensionality. These can be found in the spectrum of low-lying excitations and in the coherence properties. We calculate the Bragg response and the coherence length within the condensate in analogy with experiments performed in the quasione-dimensional regime [Richard et al., Phys. Rev. Lett. 91, 010405 (2003)] and compare to results calculated for the one-dimensional case. We then make predictions for the experimental observation of the quasicondensate phase via Bragg spectroscopy in the quasi-two-dimensional regime.

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“…These oscillations are related to the wave dynamics of particles, and therefore they can be observed in almost any coherent motion of waves in tilted periodic potentials. Thus, they were later detected as a periodic motion of ensembles of ultracold atoms 24,25 and Bose-Einstein condensates 26 in tilted optical lattices.…”

Section: Introductionmentioning

confidence: 99%

Bloch-like oscillations in the Peyrard-Bishop-Holstein model

2008

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The Peyrard-Bishop-Holstein model has been previously introduced as an appropriate framework for the description of polaronic effects for charge migration in DNA. We study numerically the Peyrard-BishopHolstein model when the charge carrier is also subjected to an applied uniform electric field. We find that the polaron undergoes coherent oscillations when the electric field is applied along the stacking direction. The frequency of the oscillations is the same as in the rigid lattice ͑Bloch frequency͒ provided that the carrier-lattice coupling is not large. Increasing the coupling the single peak of the Fourier spectrum splits into side peaks around the Bloch frequency.

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Observation of Atomic Wannier-Stark Ladders in an Accelerating Optical Potential

Cited by 444 publications

References 17 publications

Fractional Bloch oscillations in photonic lattices

Fractional Bloch oscillations in photonic lattices

Coherence properties of the two-dimensional Bose-Einstein condensate

Bloch-like oscillations in the Peyrard-Bishop-Holstein model

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