Tailoring quantum gases by Floquet engineering

Weitenberg, Christof; Simonet, Juliette

doi:10.1038/s41567-021-01316-x

Cited by 105 publications

(35 citation statements)

References 107 publications

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“…Floquet engineering is a vaste and pluridisciplinary program, which consists in controlling and designing synthetic systems with time-periodic drives in view of exploring novel phenomena [1][2][3][4]. This general approach concerns a wide range of physical platforms, including ultracold quantum gases [1,4], solid-state materials [2,3], universal quantum simulators and computers [5,6], mechanical [7] and acoustical [8] systems, and photonic devices [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

“…More specifically, Floquet engineering can be applied to modify the band structure of lattice systems [1,3], generate artificial gauge fields [13,14] and design complex interaction processes [15][16][17][18][19][20][21][22][23][24][25]. These remarkable possibilities open the door to the experimental exploration of a broad range of intriguing physical phenomena, such as high-temperature superconductivity [26,27], magnetism [28][29][30], topological physics [3,4,12], many-body localization [31,32], chaosassisted tunneling [33,34], and lattice gauge theories [35,36].…”

Section: Introductionmentioning

confidence: 99%

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Floquet engineering of optical nonlinearities: a quantum many-body approach

Goldman¹

2022

Preprint

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Subjecting a physical system to a time-periodic drive can substantially modify its properties and applications. This Floquet-engineering approach has been extensively applied to a wide range of classical and quantum settings in view of designing synthetic systems with exotic properties. Considering a general class of two-mode nonlinear optical devices, we show that effective optical nonlinearities can be created by subjecting the light field to a repeated pulse sequence, which couples the two modes in a fast and time-periodic manner. The strength of these drive-induced optical nonlinearities, which include an emerging four-wave mixing, can be varied by simply adjusting the pulse sequence. This leads to topological changes in the system's phase space, which can be detected through light intensity and phase measurements. Our proposal builds on an effective-Hamiltonian approach, which derives from a parent quantum many-body Hamiltonian describing driven interacting bosons. As a corollary, our results equally apply to Bose-Einstein condensates in driven double-well potentials, where pair tunneling effectively arises from the periodic pulse sequence. Our scheme offers a practical route to engineer and finely tune exotic nonlinearities and interactions in photonics and ultracold quantum gases.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Floquet engineering of optical nonlinearities: a quantum many-body approach

Goldman¹

2022

Preprint

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“…Introduction.-Periodic driving, i.e. Floquet engineering, offers a wide range of pathways to design effective Hamiltonians which are otherwise difficult to achieve or even unrealizable in static laboratory systems [1][2][3]. For ultracold atoms, Floquet engineering has been used in optical lattices to coherently control tunneling between sites [4][5][6][7][8], applied to generate large artificial gauge fields [9][10][11] and to simulate the quantum Hall effect [12][13][14][15].…”

mentioning

confidence: 99%

Floquet engineering a bosonic Josephson junction

Ji¹,

Schweigler²,

Tajik³

et al. 2022

Preprint

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We study Floquet engineering of the tunnel coupling between a pair of one-dimensional bosonic quasi-condensates in a tilted double-well potential. By modulating the energy difference between the two wells, we re-establish tunnel coupling and precisely control its amplitude and phase. This allows us to initiate coherence between two initially uncorrelated Bose gases and prepare different initial states in the emerging sine-Gordon Hamiltonian. We fully characterize the Floquet system and study the dependence of both equilibrium properties and relaxation on the modulation.

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“…More generally, time-periodic forcing is now exploited in the emerging area of 'Floquet engineering', a powerful tool to control and modify quantum systems, including for instance the discovery of new out-of-equilibrum phases, see e.g. [14,15], in particular the Floquet time crystal phase [16,17]. Applications of these techniques to enhance the precision of quantum metrology have also been proposed, see e.g.…”

mentioning

confidence: 99%

Quantum metrology with Bloch Oscillations in Floquet phase space

Zhang¹,

Liang²,

Meystre³

et al. 2021

Preprint

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Quantum particles performing Bloch oscillations in a spatially periodic potential can be used as a very accurate detector of constant forces. We find that the similar oscillations that can appear in the Floquet phase space of a quantum particle subjected a periodic temporal driving, even in the absence of periodic lattice potential, can likewise be exploited as detectors. Compared with their spatial Bloch analog, however, the Floquet-Bloch oscillations provide significant added flexibility and open the way to a broad range of precision metrology applications. We illustrate this property on the examples of a tachometer and a magnetometer.

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Tailoring quantum gases by Floquet engineering

Cited by 105 publications

References 107 publications

Floquet engineering of optical nonlinearities: a quantum many-body approach

Floquet engineering of optical nonlinearities: a quantum many-body approach

Floquet engineering a bosonic Josephson junction

Quantum metrology with Bloch Oscillations in Floquet phase space

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