Atomic Landau-Zener Tunneling in Fourier-Synthesized Optical Lattices

Salger, Tobias; Geckeler, Carsten; Kling, Sebastian; Weitz, Martin

doi:10.1103/physrevlett.99.190405

Cited by 128 publications

(64 citation statements)

References 17 publications

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“…However, it has already been shown that an experimental realisation of a Bose-Einstein condensate in a PT -symmetric double-well setup can be achieved by embedding the double well in a partially tilted multi-well structure [31]. These systems are well accessible with today's experimental techniques [38][39][40]. If they are exposed to loss effects they exhibit resonances, which show as functions of the physical parameters changes of their crossing scenarios, i.e.…”

Section: Discussionmentioning

confidence: 99%

Spectral singularities in ${\mathcal P}{\mathcal T}$-symmetric Bose–Einstein condensates

Heiss¹,

Cartarius²,

Main³

2013

J. Phys. A: Math. Theor.

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Abstract. We consider the model of a PT -symmetric Bose-Einstein condensate in a delta-functions double-well potential.We demonstrate that analytic continuation of the primarily non-analytic term |ψ| 2 ψ -occurring in the underlying Gross-Pitaevskii equation -yields new branch points where three levels coalesce. We show numerically that the new branch points exhibit the behaviour of exceptional points of second and third order. A matrix model which confirms the numerical findings in analytic terms is given.

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Section: Discussionmentioning

confidence: 99%

Spectral singularities in ${\mathcal P}{\mathcal T}$-symmetric Bose–Einstein condensates

Heiss¹,

Cartarius²,

Main³

2013

J. Phys. A: Math. Theor.

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“…IV͒. Relevant to the current topic is also the demonstration of sawtoothlike, asymmetric cold atom potentials by Salger et al ͑2007͒. All these systems are currently employed to effectively steer cold matter on a quantum scale.…”

Section: Hamiltonian Quantum Ratchet For Cold Atomsmentioning

confidence: 99%

Artificial Brownian motors: Controlling transport on the nanoscale

2009

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In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined with unbiased external input signals, deterministic and random alike, can assist directed motion of particles at submicron scales. In such cases, one speaks of "Brownian motors." In this review the constructive role of Brownian motion is exemplified for various physical and technological setups, which are inspired by the cellular molecular machinery: the working principles and characteristics of stylized devices are discussed to show how fluctuations, either thermal or extrinsic, can be used to control diffusive particle transport. Recent experimental demonstrations of this concept are surveyed with particular attention to transport in artificial, i.e., nonbiological, nanopores, lithographic tracks, and optical traps, where single-particle currents were first measured. Much emphasis is given to two-and three-dimensional devices containing many interacting particles of one or more species; for this class of artificial motors, noise rectification results also from the interplay of particle Brownian motion and geometric constraints. Recently, selective control and optimization of the transport of interacting colloidal particles and magnetic vortices have been successfully achieved, thus leading to the new generation of microfluidic and superconducting devices presented here. The field has recently been enriched with impressive experimental achievements in building artificial Brownian motor devices that even operate within the quantum domain by harvesting quantum Brownian motion. Sundry akin topics include activities aimed at noise-assisted shuttling other degrees of freedom such as charge, spin, or even heat and the assembly of chemical synthetic molecular motors. This review ends with a perspective for future pathways and potential new applications.

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“…is the photon wave vector, V 1 denotes the potential depth of the usual standing wave potential and V 2 that of the higher spatial harmonic, generated by the dispersion of multiphoton Raman transitions [16,17]. Figure 1 shows the band structure for such a Fourier-synthesized lattice for V 1 ¼ 5E r and V 2 ¼ 1:6E r used in our experiment, where E r ¼ @ 2 k 2 =2m denotes the recoil energy, for two different values of the relative phase ' between lattice harmonics.…”

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confidence: 99%

“…For a suitable choice of relative phases and amplitudes of the harmonics, the dispersion relation in the region between the first and second excited Bloch band becomes linear, as known for ultrarelativistic particles. We experimentally demonstrate both the transmission of atoms through a potential barrier for the case of a linear dispersion relation, i.e., Klein tunneling, and the usual reflection of atoms by the barrier for the case of a quadratic, i.e., Schrödinger-like, dispersion in an excited Bloch band.The periodic potential used to Taylor the dispersion of ultracold rubidium atoms is of the form VðzÞ ¼is the photon wave vector, V 1 denotes the potential depth of the usual standing wave potential and V 2 that of the higher spatial harmonic, generated by the dispersion of multiphoton Raman transitions [16,17]. Figure 1 shows the band structure for such a Fourier-synthesized lattice for V 1 ¼ 5E r and V 2 ¼ 1:6E r used in our experiment, where E r ¼ @ 2 k 2 =2m denotes the recoil energy, for two different values of the relative phase ' between lattice harmonics.…”

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confidence: 99%

Klein Tunneling of a Quasirelativistic Bose-Einstein Condensate in an Optical Lattice

et al. 2011

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A proof-of-principle experiment simulating effects predicted by relativistic wave equations with ultracold atoms in a bichromatic optical lattice that allows for a tailoring of the dispersion relation is reported. We observe the analog of Klein tunneling, the penetration of relativistic particles through a potential barrier without the exponential damping that is characteristic for nonrelativistic quantum tunneling. Both linear (relativistic) and quadratic (nonrelativistic) dispersion relations are investigated, and significant barrier transmission is observed only for the relativistic case.

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Atomic Landau-Zener Tunneling in Fourier-Synthesized Optical Lattices

Cited by 128 publications

References 17 publications

Spectral singularities in ${\mathcal P}{\mathcal T}$-symmetric Bose–Einstein condensates

Spectral singularities in ${\mathcal P}{\mathcal T}$-symmetric Bose–Einstein condensates

Artificial Brownian motors: Controlling transport on the nanoscale

Klein Tunneling of a Quasirelativistic Bose-Einstein Condensate in an Optical Lattice

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