Ultra-precise holographic beam shaping for microscopic quantum control

Zupancic, Philip; Preiss, Philipp M.; Ma, Ruichao; Lukin, Alexander; Tai, M. Eric; Rispoli, Matthew; Islam, Rajibul; Greiner, Markus

doi:10.1364/oe.24.013881

Cited by 157 publications

(125 citation statements)

References 29 publications

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“…The digital micromirror device (DMD) is a flexible tool for projecting nearly arbitrary light fields on the atomic system [37,[51][52][53]. The device is placed in the image plane of the system.…”

Section: Potential Engineeringmentioning

confidence: 99%

A cold-atom Fermi–Hubbard antiferromagnet

Mazurenko

Chiu

et al. 2017

Nature

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730

689

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Many exotic phenomena in strongly correlated electron systems emerge from the interplay between spin and motional degrees of freedom [1, 2]. For example, doping an antiferromagnet gives rise to interesting phases including pseudogap states and high-temperature superconductors [3]. A promising route towards achieving a complete understanding of these materials begins with analytic and computational analysis of simplified models. Quantum simulation has recently emerged as a complementary approach towards understanding these models [4][5][6][7][8]. Ultracold fermions in optical lattices offer the potential to answer open questions on the lowtemperature regime of the doped Hubbard model [9][10][11], which is thought to capture essential aspects of the cuprate superconductor phase diagram but is numerically intractable in that parameter regime. Already, Mott-insulating phases and short-range antiferromagnetic correlations have been observed, but temperatures were too high to create an antiferromagnet [12][13][14][15]. A new perspective is afforded by quantum gas microscopy [16][17][18][19][20][21][22][23][24][25][26][27][28], which allows readout of magnetic correlations at the site-resolved level [25][26][27][28]. Here we report the realization of an antiferromagnet in a repulsively interacting Fermi gas on a 2D square lattice of approximately 80 sites. Using site-resolved imaging, we detect (finite-size) antiferromagnetic long-range order (LRO) through the development of a peak in the spin structure factor and the divergence of the correlation length that reaches the size of the system. At our lowest temperature of T/t = 0.25(2) we find strong order across the entire sample, where the staggered magnetization approaches the ground-state value. Our experimental platform enables doping away from half filling, where pseudogap states and stripe ordering are expected, but theoretical methods become numerically intractable. In this regime we find that the antiferromagnetic LRO persists to hole dopings of about 15%, providing a guideline for computational methods. Our results demonstrate that quantum gas microscopy of ultracold fermions in optical lattices can now address open questions on the low-temperature Hubbard model.The Hubbard Hamiltonian is a fundamental model for spinful lattice electrons describing a competition between kinetic energy t and interaction energy U [29]. In the limiting case of half-filling (average one particle per site) and dominant interactions (U/t 1) the Hubbard model maps to the Heisenberg model [1]. There, the exchange energy J = 4t 2 /U can give rise to antiferromagnetically ordered states at low temperatures [30]. This order persists for all finite U/t, where charge fluctuations reduce the ordering strength [31]. Away from half-filling, the coupling between motional and spin degrees of freedom is expected to give rise to a rich many-body phase diagram (see Fig. 1a), which is challenging to understand theoretically due to the fermion sign problem [32]. Even so, in the thermodynamic limit com...

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Section: Potential Engineeringmentioning

confidence: 99%

A cold-atom Fermi–Hubbard antiferromagnet

Mazurenko

Chiu

et al. 2017

Nature

Self Cite

730

689

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“…Various techniques for the generation of such beams exists that uses conventional optical components like digital micro-mirror device(DMD) [8], laser resonator [9,10], axially symmetric polarization element [11], porro-prism [12,13] and spatial light modulator [14][15][16]. In most of the techniques the key feature is to coherently superpose two LaguerreGaussian(LG) beam modes with equal but opposite orbital angular momentum(OAM), thus creating a structured beam profile.…”

Section: Introductionmentioning

confidence: 99%

Phase-induced transparency-mediated structured-beam generation in a closed-loop tripod configuration

Sharma

Dey

2017

Phys. Rev. A

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We present a phase induced transparency based scheme to generate structured beam patterns in a closed four level atomic system. We employ phase structured probe beam and a transverse magnetic field (TMF) to create phase dependent medium susceptibility. We show that such phase dependent modulation of absorption holds the key to formation of a structured beam. We use a full density matrix formalism to explain the experiments of Radwell et al. [Phys. Rev. Lett. 114, 123603 (2015)] at weak probe limits. Our numerical results on beam propagation confirms that the phase information present in the absorption profile gets encoded on the spatial probe envelope which creates petal-like structures even in the strong field limit. The contrast of the formed structured beam can be enhanced by changing the strength of TMF as well as of the probe intensity. In weak field limits an absorption profile is solely responsible for creating a structured beam, whereas in the strong probe regime, both dispersion and absorption profiles facilitate the generation of high contrast structured beam. Furthermore we find the rotation of structured beams owing to strong field induced nonlinear magneto-optical rotation (NMOR).

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“…the probability to have N particle in the first site as a function of φ). Although previous experimental results measured just the parity of single sites (which would exclude a direct observation of the N = 2 case discussed so far), this detection issue in optical lattice has been recently circumvented up to four particles in the same site [12]. We evaluate numerically the interference fringes for a two particle bound state in a uniform chain with length L = 5 and U/J = 5.…”

Section: Noon State Verificationmentioning

confidence: 99%

“…The unprecedented ability to control and observe multiparticle states in optical lattice systems with single-site resolution [1][2][3][4][5][6][7][8][9][10][11][12][13][14] make possible the investigation of new quantum interference effects. Indeed, the dynamics of quantum interacting systems display many interesting features that go beyond the regime traditionally studied in linear optics.…”

Section: Introductionmentioning

confidence: 99%

NOON states via a quantum walk of bound particles

et al. 2017

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Tight-binding lattice models allow the creation of bound composite objects which, in the strong-interacting regime, are protected against dissociation. We show that a local impurity in the lattice potential can generate a coherent split of an incoming bound particle wave-packet which consequently produces a NOON state between the endpoints. This is non trivial because when finite lattices are involved, edge-localization effects make their use for non-classical state generation and information transfer challenging. We derive an effective model to describe the propagation of bound particles in a Bose-Hubbard chain. We introduce local impurities in the lattice potential to inhibit localization effects and to split the propagating bound particle, thus enabling the generation of distant NOON states. We analyze how minimal engineering transfer schemes improve the transfer fidelity and we quantify the robustness to typical decoherence effects in optical lattice implementations. Our scheme potentially has an impact on quantum-enhanced atomic interferometry in a lattice.

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Ultra-precise holographic beam shaping for microscopic quantum control

Cited by 157 publications

References 29 publications

A cold-atom Fermi–Hubbard antiferromagnet

A cold-atom Fermi–Hubbard antiferromagnet

Phase-induced transparency-mediated structured-beam generation in a closed-loop tripod configuration

NOON states via a quantum walk of bound particles

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