Resonant Nonlinear Quantum Transport for a Periodically Kicked Bose Condensate

Wimberger, Sandro; Mannella, R.; Morsch, O.; Arimondo, E.

doi:10.1103/physrevlett.94.130404

Cited by 57 publications

(41 citation statements)

References 28 publications

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“…Folding produces approximately a uniform distribution in the entire Brillouin zone, i.e., a uniform distribution of quasimomenta with a width of ∆β = 1 [16]. Using atoms in the Bose-Einstein condensate phase as initial ensemble allows the experimentalist a much better control over the width of the quasimomentum distribution [35]. Values of ∆β 0.05 have been realised in this context [18,29,36].…”

Section: The Experimental Initial Ensemblementioning

confidence: 99%

Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment?

Tomadin¹,

Mannella²,

Wimberger³

2006

J. Phys. A: Math. Gen.

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Abstract. We investigate the parametric fluctuations in the quantum survival probability of an open version of the δ-kicked rotor model in the deep quantum regime. Spectral arguments [Guarneri I and Terraneo M 2001 Phys. Rev. E 65 015203(R)] predict the existence of parametric fractal fluctuations owing to the strong dynamical localisation of the eigenstates of the kicked rotor. We discuss the possibility of observing such dynamically-induced fractality in the quantum survival probability as a function of the kicking period for the atom-optics realisation of the kicked rotor. The influence of the atoms' initial momentum distribution is studied as well as the dependence of the expected fractal dimension on finite-size effects of the experiment, such as finite detection windows and short measurement times. Our results show that clear signatures of fractality could be observed in experiments with cold atoms subjected to periodically flashed optical lattices, which offer an excellent control on interaction times and the initial atomic ensemble.

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Section: The Experimental Initial Ensemblementioning

confidence: 99%

Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment?

Tomadin¹,

Mannella²,

Wimberger³

2006

J. Phys. A: Math. Gen.

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“…Mt, 73.21.Cd Understanding the interplay between the properties of individual objects and their collective behavior is of fundamental interest in many fields [1][2][3][4]. It explains, for example, jamming and pattern formation in granular systems [1,[5][6][7], dynamical heterogeneity in phase transitions [3], tunneling dynamics and quantum phases in cold atoms [8,9], and the synchronization of networks and complex adaptive systems [2,10]. Moreover, interactions between particles play a key role in determining the structures formed when the particles come into contact [4].…”

mentioning

confidence: 99%

Controlling High-Frequency Collective Electron Dynamics via Single-Particle Complexity

et al. 2012

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We demonstrate, through experiment and theory, enhanced high-frequency current oscillations due to magnetically-induced conduction resonances in superlattices. Strong increase in the ac power originates from complex single-electron dynamics, characterized by abrupt resonant transitions between unbound and localized trajectories, which trigger and shape propagating charge domains. Our data demonstrate that external fields can tune the collective behavior of quantum particles by imprinting configurable patterns in the single-particle classical phase space.PACS numbers: 05.45. Mt, 73.21.Cd Understanding the interplay between the properties of individual objects and their collective behavior is of fundamental interest in many fields [1][2][3][4]. It explains, for example, jamming and pattern formation in granular systems [1,[5][6][7], dynamical heterogeneity in phase transitions [3], tunneling dynamics and quantum phases in cold atoms [8,9], and the synchronization of networks and complex adaptive systems [2,10]. Moreover, interactions between particles play a key role in determining the structures formed when the particles come into contact [4]. Consequently, tailoring single-particle dynamics may provide a route to controlling the collective dynamics of many-body systems. This is a major challenge both in fundamental science [11][12][13] and for developing new technologies such as high-frequency electronic devices [14][15][16], whose performance can be greatly enhanced by applied quantizing magnetic fields [17,18].The phase space structure of individual particles, in particular the existence and relative location of regular and chaotic trajectories, critically affects thermalization and diffusion both in classical and quantum systems [19,20]. Therefore, manipulating the single-particle phase space, by generating new chaotic trajectories for example, is a promising strategy in the search for ways to control other collective phenomena.Usually, the transition to chaos in Hamiltonian systems occurs by the gradual destruction of stable orbits, in accordance with the Kolmogorov-Arnold-Moser (KAM) theorem [21]. In far rarer non-KAM chaos, the chaotic orbits become abruptly unbounded when the perturbation frequency attains critical values and map out intricate "stochastic webs" in phase space [19]. Experimental realization of non-KAM classical chaos was recently achieved using a quantum system [22]: a semiconductor superlattice (SL) with a magnetic field, B, tilted relative to an electric field, F, along the SL axis. When the frequency of single-electron Bloch oscillations along the SL axis is commensurate with that for cyclotron motion in the plane of the layers [14,22,23], the orbits map out stochastic webs in phase space, which delocalize the electrons in real space. This delocalization creates multiple resonant peaks in the single-electron drift velocity versus F characteristics, which enhance the measured dc conductivity [22].In this Letter, we show, via experiments and theoretical modeling, that non-KAM single-pa...

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“…We note that ballistic motion is also predicted to occur at quantum resonance for an atomic ensemble with a very narrow initial momentum distribution [24,25]. But the broad initial momentum distribution present in cold atom experiments as discussed here, typically leads to a uniform distribution of all possible values of quasi-momentum [9,10].…”

Section: Experimental Vs Theoretical Resultsmentioning

confidence: 99%

“…If this term approaches zero, which may be accomplished either by performing the classical limit τ → 0 or starting with a very narrow momentum distribution such as that provided by a Bose-Einstein condensate [25], ballistic energy growth is recovered. However, for standard atom-optics kicked rotor experiments using cold atoms only linear energy growth is predicted at quantum resonance since the quasi-momentum β is uniformly distributed in the entire Brillouin zone.…”

Section: Resultsmentioning

confidence: 99%

The role of quasi-momentum in the resonant dynamics of the atom-optics kicked rotor

Wimberger

Sadgrove

2005

J. Phys. A: Math. Gen.

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Abstract. We examine the effect of the initial atomic momentum distribution on the dynamics of the atom-optical realisation of the quantum kicked rotor. The atoms are kicked by a pulsed optical lattice, the periodicity of which implies that quasi-momentum is conserved in the transport problem. We study and compare experimentally and theoretically two resonant limits of the kicked rotor: in the vicinity of the quantum resonances and in the semiclassical limit of vanishing kicking period. It is found that for the same experimental distribution of quasi-momenta, significant deviations from the kicked rotor model are induced close to quantum resonance, while close to the classical resonance (i.e. for small kicking period) the effect of the quasimomentum vanishes.

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Resonant Nonlinear Quantum Transport for a Periodically Kicked Bose Condensate

Cited by 57 publications

References 28 publications

Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment?

Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment?

Controlling High-Frequency Collective Electron Dynamics via Single-Particle Complexity

The role of quasi-momentum in the resonant dynamics of the atom-optics kicked rotor

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