Bloch Oscillations of Atoms in an Optical Potential

Dahan, Maxime; Peik, E.; Reichel, Jakob; Castin, Yvan; Salomon, Christophe

doi:10.1103/physrevlett.76.4508

Cited by 884 publications

(782 citation statements)

References 15 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.…”

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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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confidence: 99%

Fractional Bloch oscillations in photonic lattices

et al. 2013

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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.…”

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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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“…varying laser intensities or magnetic fields. While first studies of dynamical properties of both bosonic and fermionic quantum gases [12][13][14] have already been performed, a remaining key challenge, however, has been the presence of additional potentials: These will lead to confining forces or, in the absence of interactions, to Bloch oscillations [15][16][17][18][19] that dominate transport.In this work, it was possible to study out-ofequilibrium dynamics and transport in a homogeneous Hubbard model by allowing an initially confined atomic cloud with variable interactions to expand freely within a arXiv:1005.3545v2 [cond-mat.quant-gas] …”

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Fermionic transport and out-of-equilibrium dynamics in a homogeneous Hubbard model with ultracold atoms

et al. 2012

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Transport properties are among the defining characteristics of many important phases in condensed matter physics. In the presence of strong correlations they are difficult to predict even for model systems like the Hubbard model. In real materials they are in general obscured by additional complications including impurities, lattice defects or multi-band effects. Ultracold atoms in contrast offer the possibility to study transport and out-of-equilibrium phenomena in a clean and well-controlled environment and can therefore act as a quantum simulator for condensed matter systems. Here we studied the expansion of an initially confined fermionic quantum gas in the lowest band of a homogeneous optical lattice. While we observe ballistic transport for non-interacting atoms, even small interactions render the expansion almost bimodal with a dramatically reduced expansion velocity. The dynamics is independent of the sign of the interaction, revealing a novel, dynamic symmetry of the Hubbard model.In solid state physics, transport properties are among the key observables, the most prominent example being the electrical conductivity, which e.g. allows to distinguish normal conductors from insulators or superconductors. Furthermore, many of today's most intriguing solid state phenomena manifest themselves in transport properties, examples including high-temperature superconductivity, giant magnetoresistance, quantum hall physics, topological insulators and disorder phenomena. Especially in strongly correlated systems, where the interactions between the conductance electrons are important, transport properties are difficult to calculate beyond the linear response regime. In general, predicting out-of-equilibrium fermionic dynamics represents an even harder problem than the prediction of static properties like the nature of the ground state. In real solids further complications arise due to the effects of e.g. impurities, lattice defects and phonons. These complications render an experimental investigation in a clean and well controlled ultracold atom system highly desirable. While the last years have seen dramatic progress in the control of quantum gases in optical lattices [1-3], a thorough understanding of the dynamics in these systems is still lacking. Genuine dynamical experiments can not only uncover new dynamic phenomena but are also essential to gain insight into the timescales needed to achieve equilibrium in the lattice [4,5] or to adiabatically load into the lattice [6,7].Using both bosonic and fermionic [8-10] atoms, it has become possible to simulate models of strongly interacting quantum particles, for which the Hubbard model [11] * ulrich.schneider@lmu.de is probably the most important example. A major advantage of these systems compared to real solids is the possibility to change all relevant parameters in real-time by e.g. varying laser intensities or magnetic fields. While first studies of dynamical properties of both bosonic and fermionic quantum gases [12][13][14] have already been performed, a remaining...

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Bloch Oscillations of Atoms in an Optical Potential

Cited by 884 publications

References 15 publications

Fractional Bloch oscillations in photonic lattices

Fractional Bloch oscillations in photonic lattices

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

Fermionic transport and out-of-equilibrium dynamics in a homogeneous Hubbard model with ultracold atoms

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