Return to the Origin as a Probe of Atomic Phase Coherence

Hainaut, Clément; Chicireanu, Radu; Clément, Jean‐François; Zemmouri, Samir; Garreau, Jean Claude; Szriftgiser, Pascal; Lemarié, Gabriel; Delande, Dominique

doi:10.1103/physrevlett.118.184101

Cited by 22 publications

(20 citation statements)

References 42 publications

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“…An important symmetry is time reversal (TR) with the twist that, compared to usual disordered systems, space and momentum exchange their role for the QKR. This implies that the TR symmetry is in fact here given by t → −t, x → −x and p → p, that is by the usual time reversal symmetry followed by space inversion (see [46]). As one can readily see, the QKR Hamiltonian (2) is TR symmetric in this sense and is said to belong to the orthogonal class [58].…”

Section: Orthogonal and Unitary Classmentioning

confidence: 99%

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Coherent backscattering and forward-scattering peaks in the quantum kicked rotor

et al. 2017

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Abstract. We propose and analyze an experimental scheme using the quantum kicked rotor to observe the newly-predicted coherent forward scattering peak together with its long-known twin brother, the coherent backscattering peak. Contrary to coherent backscattering, which arises already under weak-localization conditions, coherent forward scattering is only triggered by Anderson or strong localization. So far, coherent forward scattering has not been observed in conservative systems with elastic scattering by spatial disorder. We propose to turn to the quantum kicked rotor, which has a long and succesful history as an accurate experimental platform to observe dynamical localization, i.e., Anderson localization in momentum space. We analyze the coherent forward scattering effect for the quantum kicked rotor by extensive numerical simulations, both in the orthogonal and unitary class of disordered quantum systems, and show that an experimental realization involving phase-space rotation techniques is within reach of state-of-the-art cold-atom experiments.arXiv:1612.02091v1 [cond-mat.quant-gas] 7 Dec 2016Coherent back and forward scattering peaks in the quantum kicked rotor 2

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Section: Orthogonal and Unitary Classmentioning

confidence: 99%

“…In fact, theoretical and experimental studies are arguably more convenient with the QKR than with other systems (see e.g. [43,44,45,46]). One of the many reasons is that characteristic parameters, like the mean free path, or the localization properties do not depend on (quasi-)energy.…”

Section: Introductionmentioning

confidence: 99%

Coherent backscattering and forward-scattering peaks in the quantum kicked rotor

et al. 2017

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“…It originates from the constructive interference between pairs of timereversed paths for time-reversal invariant systems and is completely different from the "multifractal" peak: it manifests itself on a much shorter spatial scale of the order of the mean free path, that is in regime (C) where the one-parameter scaling law is violated. Moreover, it exists only for periodic driving, as discussed in [42,43] and is thus an unrelated phenomenon.…”

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confidence: 99%

Multifractality of the kicked rotor at the critical point of the Anderson transition

Akridas-Morel¹,

Delande²

2019

Phys. Rev. A

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We show that quantum wavepackets exhibit a sharp macroscopic peak as they spread in the vicinity of the critical point of the Anderson transition. The peak gives a direct access to the mutifractal properties of the wavefunctions and specifically to the multifractal dimension d2. Our analysis is based on an experimentally realizable setup, the quantum kicked rotor with quasi-periodic temporal driving, an effectively 3-dimensional disordered system recently exploited to explore the physics of the Anderson transition with cold atoms.

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“…These effects can in principle also be observed with the kicked rotor. Note added: After this manuscript was submitted, our group observed enhanced return to origin in the kicked rotor [65].…”

Section: Perspectives and Conclusionmentioning

confidence: 99%

Quantum simulation of disordered systems with cold atoms

Garreau

2016

Comptes Rendus. Physique

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This paper reviews the physics of quantum disorder in relation with a series of experiments using laser-cooled atoms exposed to "kicks" of a standing wave, realizing a paradigmatic model of quantum chaos, the kicked rotor. This dynamical system can be mapped onto a tight-binding Hamiltonian with pseudo-disorder, formally equivalent to the Anderson model of quantum disorder, with quantum chaos playing the role of disorder. This provides a very good quantum simulator for the Anderson physics.Comment: Submitted to Comptes Rendus de Physiqu

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Return to the Origin as a Probe of Atomic Phase Coherence

Cited by 22 publications

References 42 publications

Coherent backscattering and forward-scattering peaks in the quantum kicked rotor

Coherent backscattering and forward-scattering peaks in the quantum kicked rotor

Multifractality of the kicked rotor at the critical point of the Anderson transition

Quantum simulation of disordered systems with cold atoms

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